Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry

Abstract

The condition of self-adjointness ensures that the eigenvalues of a Hamiltonian are real and bounded below. Replacing this condition by the weaker condition of $\mathcal{P}\mathcal{T}$ symmetry, one obtains new infinite classes of complex Hamiltonians whose spectra are also real and positive. These $\mathcal{P}\mathcal{T}$ symmetric theories may be viewed as analytic continuations of conventional theories from real to complex phase space. This paper describes the unusual classical and quantum properties of these theories.

5 pages, RevTex, 3 figures as epsf, as to appear in PRL

References in corpus (1)

• Model of supersymmetric quantum field theory with broken parity symmetry

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• Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry
• On the Quantisation of Complex Higher Derivative Theories and Avoiding the Ostrogradsky Ghost
• Quantum Geometric Tensor in $\mathcal{P}\mathcal{T}$-Symmetric Quantum Mechanics
• The non-Hermitian Swanson model with a time-dependent metric
• Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method
• Light transport in PT-invariant photonic structures with hidden symmetries
• Supersymetric laser arrays
• Unambiguous scattering matrix for non-Hermitian systems
• Analytic Results for a PT-symmetric Optical Structure
• A note on the PT-invariant periodic potential V(x)=4 cos^2 x + 4 i V_0 sin 2x
• A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field
• Interface between Hermitian and non-Hermitian Hamiltonians in a model calculation
• PT spectroscopy of the Rabi problem
• Geometric Phase in PT-Symmetric Quantum Mechanics
• Zero width resonance (spectral singularity) in a complex PT-symmetric potential
• Localization Transition in Incommensurate non-Hermitian Systems
• Vector solitons in PT-symmetric lattices
• Completeness and Orthonormality in PT-symmetric Quantum Systems
• Scully-Lamb quantum laser model for parity-time-symmetric whispering-gallery microcavities: Gain saturation effects and non-reciprocity
• Comments on the Dynamics of the Pais-Uhlenbeck Oscillator
• Stabilizing Non-Hermitian Systems by Periodic Driving
• Non-Hermitian Topological Phases: Principles and Prospects
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• PT-symmetry breaking in multilayers with resonant loss and gain locks light propagation direction
• Quantum correlations near the exceptional point
• On complexified mechanics and coquaternions
• Nonlocal homogenization of PT-symmetric multilayered structures
• Quasi-bound states in the continuum induced by $\mathcal{P}\mathcal{T}$-symmetry breaking
• Classical limit of non-Hermitian quantum dynamics - a generalised canonical structure
• PT-symmetric Rabi model: Perturbation theory
• Realizing PT-symmetric non-Hermiticity with ultra-cold atoms and Hermitian multi-well potentials
• Transport and spectral features in non-Hermitian open systems
• Parity-time symmetry breaking in magnetic systems
• Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
• Quantum master equation with balanced gain and loss
• The Kibble-Zurek mechanism at exceptional points
• Deconstructing effective non-Hermitian dynamics in quadratic bosonic Hamiltonians
• Scattering theory with localized non-Hermiticities
• $\mathcal{P}\mathcal{T}$-symmetric wave guide system with evidence of a third-order exceptional point
• Fundamentals of Quantum Mechanics in Liouville Space
• Eigenpolarizations for Giant Transverse Optical Beam Shifts
• Nonlinear Schrödinger equation for a PT symmetric delta-functions double well
• The Coulomb - harmonic oscillator correspondence in PT-symmetric quantum mechanics
• Tridiagonal PT-symmetric N by N Hamiltonians and a fine-tuning of their observability domains in the strongly non-Hermitian regime
• Non-Hermitian Photonic Lattices: tutorial
• Spectral singularities in PT-symmetric periodic finite-gap systems
• Speeding up entanglement generation by proximity to higher-order exceptional points
• Detecting non-Markovianity of quantum evolution via spectra of dynamical maps
• Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos
• Bound states, scattering states and resonant states in PT-symmetric open quantum systems
• Quantum noise effects with Kerr nonlinearity enhancement in coupled gain-loss waveguides
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Accumulation of scale-free localized states induced by local non-Hermiticity
• Emergence of PT-symmetry breaking in open quantum systems
• PT-symmetric Deformations of the Korteweg-de Vries Equation
• Differential equations for general SU(n) Bethe ansatz systems
• Fate of Majorana zero modes, critical states and non-conventional real-complex transition in non-Hermitian quasiperiodic lattices
• Floquet engineering of point-gapped topological superconductors
• Nonlocal nonlinear Schrödinger equation and its discrete version: soliton solutions and gauge equivalence
• Discrete solitons in PT-symmetric lattices
• Hunting for the non-Hermitian exceptional points with fidelity susceptibility
• Spontaneous breakdown of PT symmetry in the solvable square-well model
• PT-Symmetric Extension of the Korteweg-de Vries Equation
• PT Symmetry Breaking and Nonlinear Optical Isolation in Coupled Microcavities
• Demonstration of topological wireless power transfer
• Complex Square Well --- A New Exactly Solvable Quantum Mechanical Model
• PT-symmetric quantum field theory in D dimensions
• Optimized heat transfer at exceptional points in quantum circuits
• Pseudo-unitary symmetry and the Gaussian pseudo-unitary ensemble of random matrices
• Introduction to Supersymmetric Theory of Stochastics
• Theory of Exceptional Points of Degeneracy in Uniform Coupled-Waveguides and Balance of Gain and Loss
• The robust $\mP\mT$-symmetric chain and properties of its Hermitian counterpart
• Giant amplification of modes in parity-time symmetric waveguides
• Experimental realisation of $\mathcal{P}\mathcal{T}$-symmetric flat bands
• Unbreakable PT-symmetry of solitons supported by inhomogeneous defocusing nonlinearity
• Finite-size effects in non-Hermitian topological systems
• Antiferromagnetism emerging in a ferromagnet with gain
• Exceptional points of any order in a single, lossy, waveguide beamsplitter by photon-number-resolved detection
• Symmetry breaking of solitons in two-dimensional complex potentials
• Handedness of complex PT-symmetric potential barriers
• Vector exceptional points with strong superchiral fields
• Degrees and signatures of broken PT-symmetry in (non-uniform) lattices
• Complex Correspondence Principle
• PT Symmetric Floquet Topological Phase
• PT-symetrically regularized Eckart,Poeschl-Teller and Hulthen potentials
• Direct Measurement of Topological Properties of an Exceptional Parabola
• Room temperature topological polariton laser in an organic lattice
• Evading the sign problem in the mean-field approximation through Lefschetz-thimble path integral
• Classical Trajectories for Complex Hamiltonians
• Hermitian zero modes protected by nonnormality: Application of pseudospectra
• High order exceptional points in ultracold Bose gases
• Regularization of the spectral singularity in $\mathcal{P}\mathcal{T}$-symmetric systems by all order nonlinearities: Nonreciprocity and optical isolation
• Experimental demonstration of asymmetric diffraction based on a passive parity-time-symmetric acoustic grating
• Fermionic coherent states for pseudo-Hermitian two-level systems
• Permanent Rabi oscillations in coupled exciton-photon systems with PT-symmetry
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Quantum simulation of parity-time symmetry breaking with a superconducting quantum processor
• Second order SUSY transformations with `complex energies'
• A Hamiltonian Formulation of the Pais-Uhlenbeck Oscillator that Yields a Stable and Unitary Quantum System
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Non-Hermitian skin effect as an impurity problem
• Time-dependent Hamiltonians with 100% evolution speed efficiency
• Non-Hermitian supersymmetry and singular PT symmetrized oscillators
• Relativistic Non-Hermitian Quantum Mechanics
• PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential
• On the invariant method for the time-dependent non-Hermitian Hamiltonians
• Chiral metamaterials with PT symmetry and beyond
• Eigenvalue structure of a Bose-Einstein condensate in a PT-symmetric double well
• Measurement-induced purification in large-N hybrid Brownian circuits
• General solution of scalar field cosmology with a (piecewise) exponential potential
• Complex Trajectories of a Simple Pendulum
• Steering magnonic dynamics and permeability at exceptional points in a parity-time symmetric waveguide
• Transfer matrix study of the Anderson transition in non-Hermitian systems
• Quasinormal modes and Purcell factors of coupled loss-gain resonators and index-modulated ring resonators near exceptional points
• Non-Hermitian waves in a continuous periodic model and application to photonic crystals
• Complexified Dynamical Systems
• Spontaneous PT symmetry breaking in non-Hermitian coupled cavities array
• Gegenbauer-solvable quantum chain model
• Cascade of the delocalization transition in a non-Hermitian interpolating Aubry-Andr{é}-Fibonacci chain
• Parity-time symmetry from stacking purely dielectric and magnetic slabs
• Complex Optical Potentials and Pseudo-Hermitian Hamiltonians
• Discrete solitons and vortices on two-dimensional lattices of $\mathcal{P}\mathcal{T}$-symmetric couplers
• Non-Hermitian Mott Skin Effect
• Wave packet evolution in non-Hermitian quantum systems
• Goldstone bosons and the Englert-Brout-Higgs mechanism in non-Hermitian theories
• Dissipative Floquet Dynamical Quantum Phase Transition
• Exponential Type Complex and non-Hermitian Potentials in PT-Symmetric Quantum Mechanics
• Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation with step-like initial data
• PT-Symmetric Quantum Electrodynamics
• Armchair graphene nanoribbons: PT-symmetry breaking and exceptional points without dissipation
• Experimental Demonstration of Controllable PT and anti-PT Coupling in a non-Hermitian Metamaterial
• Two (2 + 1)-dimensional integrable nonlocal nonlinear Schrodinger equations: Breather, rational and semi-rational solutions
• Pseudo-Hermiticity and some consequences of a generalized quantum condition
• Pseudo-Hermiticity, weak pseudo-Hermiticity and eta-orthogonality condition
• Maximal couplings in PT-symmetric chain-models with the real spectrum of energies
• Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains
• Imaginary Cubic Perturbation: Numerical and Analytic Study
• Enhanced nonlinear frequency conversion and Purcell enhancement at exceptional points
• Anisotropic exceptional points of arbitrary order
• Discrete vortex solitons and PT symmetry
• Topological thermal transport
• Coherent optical control of polarization with a critical metasurface
• Non-Hermitian Chiral Skin Effect
• Scale-free localization and PT symmetry breaking from local non-Hermiticity
• Parity-time symmetric coupled asymmetric dimers
• Enhanced energy transfer in a Dicke quantum battery
• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Experimental observation of information flow in the anti-$\mathcal{P}\mathcal{T}$-symmetric system
• Goldstone bosons in different PT-regimes of non-Hermitian scalar quantum field theories
• Flattening the Curve with Einstein's Quantum Elevator: Hermitization of Non-Hermitian Hamiltonians via a Generalized Vielbein Formalism
• Curving the space by non-Hermiticity
• $\mathcal{P}\mathcal{T}$-symmetric slowing-down of decoherence
• Asymmetric Wave Propagation Through Nonlinear PT-symmetric Oligomers
• Transfer Matrices as Non-Unitary S-Matrices, Multimode Unidirectional Invisibility, and Perturbative Inverse Scattering
• Information Geometry of Complex Hamiltonians and Exceptional Points
• Linear and Nonlinear PT-symmetric Oligomers: A Dynamical Systems Analysis
• Non-Hermitian interaction representation and its use in relativistic quantum mechanics
• Quantum quench in PT-symmetric Luttinger liquid
• Exceptional band touching for strongly correlated systems in equilibrium
• Frequency-stable robust wireless power transfer based on high-order pseudo-Hermitian physics
• Interactions of Hermitian and non-Hermitian Hamiltonians
• Delayed sudden death of entanglement at exceptional points
• PT-restoration via increased loss-gain in PT-symmetric Aubry-Andre model
• Cosmological Perturbations in Conformal Gravity
• Localized modes in ${\chi }^{(2)}$ media with $\PT$-symmetric localized potential
• Floquet exceptional points and chirality in non-Hermitian Hamiltonians
• Hamiltonian formulation of the standard $\mathcal{P}\mathcal{T}$-symmetric nonlinear Schrödinger dimer
• Time-dependent $\mathcal{P}\mathcal{T}$-symmetric quantum mechanics in generic non-Hermitian systems
• Perfect State Transfer in PT-symmetric Non-Hermitian Networks
• Integrable nonlocal asymptotic reductions of physically significant nonlinear equations
• New features of scattering from a one-dimensional non-Hermitian (complex) potential
• Non-Hermitian Quantum Mechanics of Non-diagonalizable Hamiltonians: puzzles with self-orthogonal states
• Designing non-Hermitian real spectra through electrostatics
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• Nonreciprocal Transmission in Nonlinear PT-Symmetric Metamaterials Using Epsilon-near-Zero Media Doped with Defects
• Dynamical nonlinear higher-order non-Hermitian skin effects and topological trap-skin phase
• Non-Hermitian Hamiltonians with real eigenvalues coupled to electric fields: from the time-independent to the time dependent quantum mechanical formulation
• Zoology of non-Hermitian spectra and their graph topology
• Disorder-induced exceptional points and nodal lines in Dirac superconductors
• Giant Non-reciprocity Near Exceptional Point Degeneracies
• Nonlinear PT-symmetric plaquettes
• Time-dependent q-deformed coherent states for generalized uncertainty relations
• $\mathcal{P}\mathcal{T}$-Symmetric Topological Edge-Gain Effect
• On an exactly solvable $B_N$ type Calogero model with nonhermitian PT invariant interaction
• PT-Symmetric Dimer of Coupled Nonlinear Oscillators
• PT-symmetric square well and the associated SUSY hierarchies
• Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-André model
• Exceptional entanglement phenomena: non-Hermiticity meeting non-classicality
• Noncommutative $q$-photon added coherent states
• Higher-order exceptional points in all-magnetic structures
• Classification of Exceptional Nodal Topologies Protected by $\mathcal{P}\mathcal{T}$ Symmetry
• Dimer with gain and loss: Integrability and $\mathcal{P}\mathcal{T}$-symmetry restoration
• Mass dimension one fermions: Constructing darkness
• A Canonical Approach to the Quantization of the Damped Harmonic Oscillator
• On Symmetries and Exact Solutions of a Class of Non-local Non-linear Schrodinger Equations with Self-induced PT-symmetric Potential
• Semiclassical Calculation of the C Operator in PT-Symmetric Quantum Mechanics
• Spectra of sparse non-Hermitian random matrices: an analytical solution
• Kibble-Zurek scaling in the Yang-Lee edge singularity
• Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: I. General properties
• Fate of zero modes in a finite Su-Schrieffer-Heeger Model with $\mathcal{P}\mathcal{T}$ Symmetry
• Squeezed coherent states for noncommutative spaces with minimal length uncertainty relations
• Conceptual Aspects of PT-Symmetry and Pseudo-Hermiticity: A status report
• Non-Hermitian Hamiltonian Deformations in Quantum Mechanics
• Observing exceptional point degeneracy of radiation with electrically pumped photonic crystal coupled-nanocavity lasers
• Entangled squeezed states in noncommutative spaces with minimal length uncertainty relations
• Construction of a unique metric in quasi-Hermitian quantum mechanics: non-existence of the charge operator in a 2 x 2 matrix model
• Microwave--Optical entanglement in a Strongly Coupled Electro-Optomechanical System
• On the integrability of PT-symmetric dimers
• Symmetry-resolved entanglement in critical non-Hermitian systems
• Supersymmetry vs ghosts
• Energy Observable for a Quantum System with a Dynamical Hilbert Space and a Global Geometric Extension of Quantum Theory
• Environmentally-induced exceptional points in elastodynamics
• Non-Hermitian anisotropic XY model with intrinsic rotation-time reversal symmetry
• Modulation instability in nonlinear complex parity-time (PT) symmetric periodic structures
• Mending the broken PT-regime via an explicit time-dependent Dyson map
• Complexified PSUSY and SSUSY interpretations of some PT-symmetric Hamiltonians possessing two series of real energy eigenvalues
• Coupling approach for the realization of a $\mathcal{P}\mathcal{T}$-symmetric potential for a Bose-Einstein condensate in a double well
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Entanglement Entropy of Non-Unitary Integrable Quantum Field Theory
• Gauge invariance and the Englert-Brout-Higgs mechanism in non-Hermitian field theories
• New supersymmetry-generated complex potentials with real spectra
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Unidirectional reflectionlessness and invisibility in the TE and TM modes of a PT-symmetric slab system
• Two-dimensional SUSY-pseudo-Hermiticity without separation of variables
• Calculation of the Hidden Symmetry Operator for a $\cP\cT$-Symmetric Square Well
• Scattering by finite periodic $\mathcal{P}\mathcal{T}$-symmetric structures
• Fixed points and emergent topological phenomena in a parity-time-symmetric quantum quench
• Convective and absolute PT symmetry breaking in tight-binding lattices
• On the eigenproblems of PT-symmetric oscillators
• 2D Solitons in PT-symmetric photonic lattices
• A new signature for strong light-matter coupling using spectroscopic ellipsometry
• Non-Hermitian Aubry-André model with Power-Law Hopping
• Scattering in $\mathcal{P}\mathcal{T}$ and $\mathcal{R}\mathcal{T}$ Symmetric Multimode Waveguides: Generalized Conservation Laws and Spontaneous Symmetry Breaking beyond One Dimension
• Discrete PT-symmetric models of scattering
• Optical lattices with exceptional points in the continuum
• Solitons and their stability in the nonlocal nonlinear Schroedinger equation with PT-symmetric potentials
• Reciprocal and unidirectional scattering of parity-time symmetric structures
• Steering between Level Repulsion and Attraction: Broad tunability of Two-Port Driven Cavity Magnon-Polaritons
• PT-symmetric noncommutative spaces with minimal volume uncertainty relations
• Spin-based single-photon transistor, dynamic random access memory, diodes and routers in semiconductors
• On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT-and non-PT-symmetric potentials
• Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms
• PT-symmetric deformations of integrable models
• A generalized quantum nonlinear oscillator
• Necessity of PT symmetry for soliton families in one-dimensional complex potentials
• Invariance under complex transformations, and its relevance to the cosmological constant problem
• Non-Hermitian Dynamics in the Quantum Zeno Limit
• Asymmetric transmission through a flux-controlled non-Hermitian scattering center
• An update on PT-symmetric complexified Scarf II potential, spectral singularities and some remarks on the rationally-extended supersymmetric partners
• Non-Hermitian Hamiltonians of Lie algebraic type
• Long-time asymptotics for the integrable nonlocal focusing nonlinear Schrödinger equation for a family of step-like initial data
• Wave scattering on a domain wall in a chain of PT-symmetric couplers
• Direction-Dependent Parity-Time Phase Transition and Non-Reciprocal Directional Amplification with Dynamic Gain-Loss Modulation
• Non-equilibrium magnetic phases in spin lattices with gain and loss
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• Finite-Dimensional PT-Symmetric Hamiltonians
• Generating Converging Bounds to the (Complex) Discrete States of the $P^2+i{X}^3+i\alpha X$ Hamiltonian
• Generating high-order quantum exceptional points in synthetic dimensions
• Origin of maximal symmetry breaking in even PT-symmetric lattices
• Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems
• Mitigation of dynamical instabilities in laser arrays via non-Hermitian coupling
• Passive $\mathcal{P}\mathcal{T}$-symmetry breaking transitions without exceptional points in dissipative photonic systems
• Anyonic-parity-time symmetry in complex-coupled lasers
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Localizability of Tachyonic Particles and Neutrinoless Double Beta Decay
• Nonreciprocal slow or fast light in anti-$\mathcal{P}\mathcal{T}$-symmetric optomechanics
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Spontaneously Breaking Non-Abelian Gauge Symmetry in Non-Hermitian Field Theories
• Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• Highly Sensitive Coupled Oscillator Based on an Exceptional Point of Degeneracy and Nonlinearity
• Complex Saddle Points and Disorder Lines in QCD at finite temperature and density
• Quantum entropy of systems described by non-Hermitian Hamiltonians
• Nonlinear quantum dynamics in a PT-symmetric double well
• Non-Hermitian Kibble-Zurek mechanism with tunable complexity in single-photon interferometry
• Dynamical quantum phase transitions in SYK Lindbladians
• PT symmetric pseudo-perturbation recipe; an imaginary cubic oscillator with spikes
• On integrable wave interactions and Lax pairs on symmetric spaces
• Contrasting Spectral Signatures and Sensitivities of CPA-Lasing in a $\mathcal{P}\mathcal{T}$-Symmetric Periodic Structure
• Topological spin excitations in non-Hermitian spin chains with a generalized kernel polynomial algorithm
• Emergent phase transition in Cluster Ising model with dissipation
• Low-dimensional optical chirality in complex potentials
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• Complex saddle points in QCD at finite temperature and density
• Dynamics of entanglement after exceptional quantum quench
• A return to observability near exceptional points in a schematic PT-symmetric model
• The C Operator in PT-Symmetric Quantum Field Theory Transforms as a Lorentz Scalar
• Conventional quantum phase transition driven by complex parameter in non-Hermitian PT-symmetric Ising model
• Dimensionality reduction of many-body problem using coupled-cluster sub-system flow equations: classical and quantum computing perspective
• From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
• Spontaneous Breaking of Classical PT Symmetry
• Anderson localization transition in a robust $\mathcal{P}\mathcal{T}$-symmetric phase of a generalized Aubry-Andre model
• Peregrine Rogue Wave dynamics in the continuous nonlinear Schrödinger system with parity-time symmetric Kerr nonlinearity
• Connections between the Open-boundary Spectrum and Generalized Brillouin Zone in Non-Hermitian Systems
• Strings from position-dependent noncommutativity
• Application of Pseudo-Hermitian Quantum Mechanics to a PT-Symmetric Hamiltonian with a Continuum of Scattering States
• Beyond the WKB approximation in PT-symmetric quantum mechanics
• Cavity magnon polariton based precision magnetometry
• Tuning the Effective PT-Phase of Plasmonic Eigenmodes
• Bohmian quantum trajectories from coherent states
• Calculation of the metric in the Hilbert space of a PT-symmetric model via the spectral theorem
• RG-Whitham dynamics and complex Hamiltonian systems
• Exact solution of the Bose Hubbard model with unidirectional hopping
• Eternal life of entropy in non-Hermitian quantum systems
• Giving up the ghost
• PT/Non-PT Symmetric and Non-Hermitian Poschl-Teller-Like Solvable Potentials via Nikiforov-Uvarov Method
• Observation of slowly decaying eigenmodes without exceptional points in Floquet, dissipative, synthetic circuits
• Ordinary versus PT-symmetric ${\varphi }^3$ quantum field theory
• Stiefel-Whitney topological charges in a three-dimensional acoustic nodal-line crystal
• Complex Lagrangians and phantom cosmology
• Realization and application of parity-time-symmetric oscillators in quantum regime
• The PT-symmetric brachistochrone problem, Lorentz boosts and non-unitary operator equivalence classes
• Using PT-symmetry for switching applications
• Pseudo-Hermitian approach to Goldstone's theorem in non-Abelian non-Hermitian quantum field theories
• On the N-wave Equations with PT-symmetry
• Invisible defects in complex crystals
• Dipolar Bose-Einstein condensates in a PT-symmetric double-well potential
• Gain/loss induced localization in one-dimensional PT-symmetric tight-binding models
• PDM Klein-Gordon oscillators in cosmic string spacetime in magnetic and Aharonov-Bohm flux fields within the Kaluza-Klein theory
• Intertwining relations of non-stationary Schrödinger operators
• Kubo formula for non-Hermitian systems and tachyon optical conductivity
• Topological energy braiding of the non-Bloch bands
• Non-Hermitian matrix description of the PT symmetric anharmonic oscillators
• Simulating broken $\mathcal{P}\mathcal{T}$-symmetric Hamiltonian systems by weak measurement
• Transmission zeros and ultrasensitive detection in complex systems
• Jamming anomaly in $\mathcal{P}\mathcal{T}$-symmetric systems
• Partial topological Zak phase and dynamical confinement in non-Hermitian bipartite system
• $\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
• Dynamical topological invariant for non-Hermitian Rice-Mele model
• Flat band in two-dimensional non-Hermitian optical lattices
• Nonlinear Non-Hermitian Skin Effect and Skin Solitons in Temporal Photonic Feedforward Lattices
• Stable and oscillating solitons of $\mathcal{P}\mathcal{T}$-symmetric couplers with gain and loss in fractional dimension
• Cryptogauge symmetry and cryptoghosts for crypto-Hermitian Hamiltonians
• Semi-Lorentz invariance, unitarity, and critical exponents of symplectic fermion models
• Engineering dissipation with resistive elements in circuit quantum electrodynamics
• Nonhermitian transport effects in coupled-resonator optical waveguides
• Exceptional points of degeneracy and $\mathcal{P}\mathcal{T}$-symmetry in photonic coupled chains of scatterers
• Bound States of Non-Hermitian Quantum Field Theories
• Non-reciprocal energy transfer through the Casimir effect
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Self-hybridization within non-Hermitian plasmonic systems
• Perturbation theory of PT-symmetric Hamiltonians
• Solvable PT-symmetric model with a tunable interspersion of non-merging levels
• Localization, $\mathcal{P}\mathcal{T}$-Symmetry Breaking and Topological Transitions in non-Hermitian Quasicrystals
• Non-Markovian Quantum Exceptional Points
• Non-Hermitian oscillator Hamiltonian and su(1,1): a way towards generalizations
• A model of three coupled wave guides and third order exceptional points
• Revisiting the PT-symmetric Trimer: Bifurcations, Ghost States and Associated Dynamics
• Is Pseudo-Hermitian Quantum Mechanics an Indefinite-Metric Quantum Theory?
• General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system
• Nonstandard bilinearization of $\mathcal{P}\mathcal{T}$-invariant nonlocal nonlinear Schrödinger equation: Bright soliton solutions
• Exact quantization of a PT-symmetric (reversible) Liénard-type nonlinear oscillator
• (1+1)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: effectively PT-symmetric
• Irreversibility of the renormalization group flow in non-unitary quantum field theory
• Non-Hermitian Hamiltonian for a Modulated Jaynes-Cummings Model with PT Symmetry
• Discrete spacetime symmetries and particle mixing in non-Hermitian scalar quantum field theories
• PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability
• One- and two-dimensional solitons in PT-symmetric systems emulating the spin-orbit coupling
• Spectral Singularities of a General Point Interaction
• Experimental simulation of the Parity-Time-symmetric dynamics using photonics qubits
• Nonlocal gap solitons in parity-time symmetric optical lattices
• $\mathcal{P}\mathcal{T}$ phase transition in open quantum systems with Lindblad dynamics
• Breakdown of the correspondence between the real-complex and delocalization-localization transitions in non-Hermitian quasicrystals
• Fundamental length in quantum theories with PT-symmetric Hamiltonians
• Complete characterization of qubit masking
• Distributional Borel Summability of Odd Anharmonic Oscillators
• Non-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Spontaneous Parity-Time Symmetry Breaking in Moving Media
• Unified theory of resonances and bound states in the continuum in Hermitian tight-binding models
• Photon blockade in non-Hermitian optomechanical systems with nonreciprocal couplings
• $\mathcal{P}\mathcal{T}$-symmetric $-g{\phi }^4$ theory
• PT symmetry of a conditionally exactly solvable potential
• Tilted optical lattices with defects as realizations of PT symmetry in Bose-Einstein condensates
• Scattering properties of PT-symmetric layered periodic structures
• Entanglement in non-equilibrium steady states and many-body localization breakdown in a current driven system
• Cyclic permutation-time symmetric structure with coupled gain-loss microcavities
• Self-sustained emission in semi-infinite non-Hermitian systems at the exceptional point
• Entanglement enhanced and one-way steering in PT -symmetric cavity magnomechanics
• Nonlinear localized modes in PT-symmetric optical media with competing gain and loss
• Critical behavior of the PT-symmetric $i{\varphi }^3$ quantum field theory
• Nonclassicality versus entanglement in a noncommutative space
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Hermitian dynamics in a class of pseudo-Hermitian networks
• Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system
• The disappearing $Q$ operator
• Conditional observability
• Spectral singularities in PT-symmetric Bose-Einstein condensates
• PT-symmetric quantum state discrimination
• Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase transition point
• Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• Phase transition through the splitting of self-dual spectral singularity in optical potentials
• Non-Bloch quench dynamics
• Stability of soliton families in nonlinear Schroedinger equations with non-parity-time-symmetric complex potentials
• Spectral singularities for Non-Hermitian one-dimensional Hamiltonians: puzzles with resolution of identity
• Galois Conjugates of Topological Phases
• Statistical PT-symmetric lasing in an optical fiber network
• Families of particles with different masses in PT-symmetric quantum field theory
• Spontaneous $\mathcal{T}$-symmetry breaking and exceptional points in cavity quantum electrodynamics systems
• Stable Atomic Magnetometer in Parity-Time Symmetry Broken Phase
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Flat bands and PT-symmetry in quasi-one-dimensional lattices
• Bound and scattering states of extended Calogero model with an additional PT invariant interaction
• Quantum Zeno effect and nonclassicality in a PT symmetric system of coupled cavities
• Nonlinear Pseudo-Supersymmetry in the Framework of N-fold Supersymmetry
• Which Green Functions Does the Path Integral for Quasi-Hermitian Hamiltonians Represent?
• A PT Symmetric QES Partner to the Khare Mandal Potential With Real Eigen Values
• Hermitian versus non-Hermitian representations for minimal length uncertainty relations
• Angle-Resolved Thermal Emission Spectroscopy Characterization of Non-Hermitian Meta-Crystals
• Always-Real-Eigenvalued Non-Hermitian Topological Systems
• Fragile PT-symmetry in a solvable model
• Bounds on variation of spectral subspaces under J-self-adjoint perturbations
• Solvability and PT-symmetry in a double-well model with point interactions
• Unified Treatment of Even and Odd Anharmonic Oscillators of Arbitrary Degree
• PT Symmetry as a Generalization of Hermiticity
• Experimental demonstration of coherence flow in $\mathcal{P}\mathcal{T}$- and anti-$\mathcal{P}\mathcal{T}$-symmetric systems
• Quantum Zeno effects across a parity-time symmetry breaking transition in atomic momentum space
• New Quasi-Exactly Solvable Sextic Polynomial Potentials
• Quantum catastrophes: a case study
• Quantum information dynamics in a high-dimensional parity-time-symmetric system
• Non-Hermitian quantum systems and their geometric phases
• Dissipative Kerr solitons in a photonic dimer on both sides of exceptional point
• A physical interpretation for the non-Hermitian Hamiltonian
• Skin modes in a nonlinear Hatano-Nelson model
• Non-Hermitian d-dimensional Hamiltonians with position dependent mass and their $\eta$-pseudo-Hermiticity generators
• Exact Mobility Edges and Topological Phase Transition in Two-Dimensional non-Hermitian Quasicrystals
• $\eta$-weak-Pseudo-Hermiticity generators and exact solvability
• Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation
• Asymmetric lasing at spectral singularities
• A quantum-classical decomposition of Gaussian quantum environments: a stochastic pseudomode model
• Is the CPT-norm always positive?
• Constructible reality condition of pseudo entropy via pseudo-Hermiticity
• Coupled-channel version of PT-symmetric square well
• Continuum of Bound States in a Non-Hermitian Model
• Parametric instability of non-Hermitian systems near the exceptional point
• Emergent $\mathcal{P}\mathcal{T}$ symmetry in a double-quantum-dot circuit QED set-up
• Regularized degenerate multi-solitons
• Real spectra in non-Hermitian topological insulators
• Quantum solvability of a general ordered position dependent mass system: Mathews-Lakshmanan oscillator
• All Hermitian Hamiltonians Have Parity
• The topological counterparts of non-Hermitian SSH models
• Hermitian scattering behavior for the non-Hermitian scattering center
• Landau-Zener-Stückelberg Interferometry in $\mathcal{P}\mathcal{T}$-symmetric Non-Hermitian models
• Liquid-crystal-based topological photonics
• On the Path-Integral Derivation of the Anomaly for the Hermitian Equivalent of the Complex $PT$-Symmetric Quartic Hamiltonian
• Numerical Simulations of PT-Symmetric Quantum Field Theories
• Quantum metric of non-Hermitian Su-Schrieffer-Heeger systems
• Anti-$\mathcal{P}\mathcal{T}$-symmetric Kerr gyroscope
• Isospectral Hamiltonians from Moyal products
• Investigation of non-Hermitian Hamiltonians in the Heisenberg picture
• Time-Dependent Pseudo-Hermitian Hamiltonians and a Hidden Geometric Aspect of Quantum Mechanics
• Harmonic oscillator well with a screened Coulombic core is quasi-exactly solvable
• PT-symmetric feedback induced linewidth narrowing
• Reciprocity and unitarity in scattering from a non-Hermitian complex PT-symmetric potential
• Improving the stimulated Raman adiabatic passage via dissipative quantum dynamics
• Wave emission and absorption at spectral singularities
• Symmetry recovery of exceptional points and their dynamical encircling in a two-state system
• Directionality Fields generated by a Local Hilbert Transform
• Symmetry in optics and photonics: a group theory approach
• Observation of Large-Number Corner Modes in $\mathbb{Z}$-class Higher-Order Topolectrical Circuits
• Probability-preserving evolution in a non-Hermitian two-band model
• PT-symmetry breaking and universal chirality in a PT-symmetric ring
• On the time evolution at a fluctuating exceptional point
• Non-Hermitian skin effect edge
• A new class of non-Hermitian Hamiltonians with real spectra
• CPA-Lasing in Thin-Elastic Plates via Exceptional Points
• New scattering features of quaternionic point interaction in non-Hermitian quantum mechanics
• Amplification of quantum signals by the non-Hermitian skin effect
• Exactly Solvable Quasi-hermitian Transverse Ising Model
• Experimental Demonstration of Exceptional Points of Degeneracy in Linear Time Periodic Systems and Exceptional Sensitivity
• PT-Symmetric Non-Hermitian Quantum Field Theories with Supersymmetry
• Quantum correlations in $\mathcal{P}\mathcal{T}$-symmetric systems
• Interaction induced dynamical $\mathcal{P}\mathcal{T}$ symmetry breaking in dissipative Fermi-Hubbard models
• Floquet engineering and simulating exceptional rings with a quantum spin system
• Optimized Steering: Quantum State Engineering and Exceptional Points
• Non-Hermitian Waveguide Cavity QED with Tunable Atomic Mirrors
• On the Real Spectra of Calogero Model with Complex Coupling
• Quantum battery with non-Hermitian charging
• Level statistics of real eigenvalues in non-Hermitian systems
• Periodic Potentials and Supersymmetry
• Exactly solvable non-Hermitian Jaynes-Cummings-type Hamiltonian admitting entirely real spectra from supersymmetry
• Quantum Mechanics of Proca Fields
• Bound states and photon emission in non-Hermitian nanophotonics
• A note on the integrability of non-Hermitian extensions of Calogero-Moser-Sutherland models
• Manipulating non-Hermitian skin effect via electric fields
• Directed momentum current induced by the PT-symmetric driving
• Diffraction control in PT-symmetric photonic lattices: from beam rectification to dynamic localization
• PT-symmetry breaking in complex nonlinear wave equations and their deformations
• P,T,PT, and CPT invariance of Hermitian Hamiltonians
• Dirac and Klein-Gordon particles in complex Coulombic fields; a similarity transformation
• Quantum Phase Transition in a Quantum Ising Chain at Nonzero Temperatures
• Revisiting the optical $PT$-symmetric dimer
• Level statistics of a pseudo-Hermitian Dicke model
• Spontaneous symmetry breaking and ghost states supported by the fractional nonlinear Schrödinger equation with focusing saturable nonlinearity and PT-symmetric potential
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Unitarity corridors to exceptional points
• Optical solitons in media with focusing and defocusing saturable nonlinearity and a parity-time-symmetric external potential
• Asymptotic solvability of an imaginary cubic oscillator with spikes
• Solvable two dimensional time-dependent non-Hermitian quantum systems with infinite dimensional Hilbert space in the broken PT-regime
• PT-symmetric models in curved manifolds
• Vortices in Bose-Einstein condensates with $\mathcal{P}\mathcal{T}$-symmetric gain and loss
• Non-Hermitian Hamiltonians and stability of pure states
• Spectral projections of the complex cubic oscillator
• Anderson localization transitions in disordered non-Hermitian systems with exceptional points
• Metrics and isospectral partners for the most generic cubic PT-symmetric non-Hermitian Hamiltonian
• Cusp bifurcation in the eigenvalue spectrum of PT-symmetric Bose-Einstein condensates
• Bragg gap solitons in $\mathcal{P}\mathcal{T}$ symmetric lattices with competing nonlinearity
• On the Properties of Phononic Eigenvalue Problems
• Generalized Swanson models and their solutions
• Unitarity of loop diagrams for the ghost-like $1/(k^2-M_1^2)-1/(k^2-M_2^2)$ propagator
• An exactly solvable PT symmetric potential from the Natanzon class
• Eigenstate entanglement entropy in $PT$ invariant non-Hermitian system
• Optomechanical dynamics in the $\mathcal{P}\mathcal{T}$- and broken-$\mathcal{P}\mathcal{T}$-symmetric regimes
• Real Description of Classical Hamiltonian Dynamics Generated by a Complex Potential
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Parametric symmetries in exactly solvable real and P T symmetric complex potentials
• Metadisorder for designer light in random-walk systems
• Imaginary couplings in non-Hermitian coupled-mode theory: Effects on exceptional points of optical resonators
• Exceptional points and Bloch oscillations in non-Hermitian lattices with unidirectional hopping
• Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems
• Electronic properties of bilayer graphene catenoid bridge
• Adiabaticity in nonreciprocal Landau-Zener tunneling
• On zero energy states in graphene
• Observation of non-Hermitian antichiral edge currents
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Generation of exactly solvable non-Hermitian potentials with real energies
• Chiral current circulation and $\mathcal{P}\mathcal{T}$ symmetry in a trimer of oscillators
• New classes of non-parity-time-symmetric optical potentials with all-real spectra and exceptional-point-free phase transition
• A Positive-Definite Scalar Product for Free Proca Particle
• Multiple quantum wells for PT-symmetric phononic crystals
• Odd Cosserat elasticity in active materials
• Flat band induced by the interplay of synthetic magnetic flux and non-Hermiticity
• Krein-Space Formulation of PT-Symmetry, CPT-Inner Products, and Pseudo-Hermiticity
• Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
• Non-abelian nature of systems with multiple exceptional points
• Dynamical robustness of topological end states in nonreciprocal Su-Schrieffer-Heeger models with open boundary conditions
• Exceptional Points in the Flatland: A Non-Hermitian Line-Wave Scenario
• Exactly solvable time-dependent pseudo-Hermitian $su$(1,1) Hamiltonian models
• Scattering Experiments with Microwave Billiards at an Exceptional Point under Broken Time Reversal Invariance
• Parity-time symmetry breaking in spin chains
• Exceptional Points of Degeneracy Directly Induced by Space-Time Modulation of a Single Transmission Line
• From Generalized Dirac Equations to a Candidate for Dark Energy
• On the 'toy model" in the Reggeon field theory
• Density Matrix Formalism for PT-Symmetric Non-Hermitian Hamiltonians with the Lindblad Equation
• A pseudo-fermion method for the exact description of fermionic environments: from single-molecule electronics to Kondo resonance
• Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect
• Appropriate Inner Product for PT-Symmetric Hamiltonians
• Non-Hermitian interferometer: Unidirectional amplification without distortion
• Exceptional points and their coalescence of PT-symmetric interface states in photonic crystals
• A simple approach towards the sign problem using path optimisation
• Numerical calculation of the complex berry phase in non-Hermitian systems
• Toward Heisenberg Scaling in Non-Hermitian Metrology at the Quantum Regime
• Out-of-time-ordered correlator in non-Hermitian quantum systems
• Generating Converging Eigenenergy Bounds for the Discrete States of the -ix^3 Non-Hermitian Potential
• Non-Hermitian butterfly spectra in a family of quasiperiodic lattices
• Universal Critical Behaviors in Non-Hermitian Phase Transitions
• Null bootstrap for non-Hermitian Hamiltonians
• Entanglement, non-Hermiticity, and duality
• Non-hermitian Hamiltonians and Painlevé IV equation with real parameters
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Massive gauge particles versus Goldstone bosons in non-Hermitian non-Abelian gauge theory
• Isospectral partners for a complex PT-invariant potential
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
• PT-symmetric chiral metamaterials: Asymmetric effects and PT-phase control
• $J$-self-adjoint operators with $\mathcal{C}$-symmetries: extension theory approach
• Analytically Solvable PT-Invariant Periodic Potentials
• Stable States with Non-Zero Entropy under Broken $\mathcal{P}\mathcal{T}$-Symmetry
• Application of Pseudo-Hermitian Quantum Mechanics to a Complex Scattering Potential with Point Interactions
• Delocalization in an open one-dimensional chain in an imaginary vector potential
• Exact analogue of the Hatano-Nelson model in 1D continuous nonreciprocal systems
• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• Solitons in PT-symmetric ladders of optical waveguides
• The Cosmological Constant Problem, an Inspiration for New Physics
• The Hilbert-Space Structure of Non-Hermitian Theories with Real Spectra
• Nonunique C operator in PT Quantum Mechanics
• Experimental parity-time symmetry quantum walks on a directed graph
• Photonic systems with two-dimensional landscapes of complex refractive index via time-dependent supersymmetry
• C, PT, and CPT invariance of pseudo-Hermitian Hamiltonians
• A generalized non-Hermitian oscillator Hamiltonian, N-fold supersymmetry and position-dependent mass models
• Pseudo-Hermitian approach to energy-dependent Klein-Gordon models
• The structure of supersymmetry in $\mathcal{P}\mathcal{T}$ symmetric quantum mechanics
• Perfectly invisible $\mathcal{P}\mathcal{T}$-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry
• Probability Density in the Complex Plane
• Activating non-Hermitian skin modes by parity-time symmetry breaking
• Acoustic Multifunctional Logic Gates and Amplifier based on Passive Parity-Time Symmetry
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Quantum dynamics on a lossy non-Hermitian lattice
• Optical Reciprocity Induced Symmetry of the Scattering Eigenstates in Non-$\mathcal{P}\mathcal{T}$-Symmetric Heterostructures
• A non self-adjoint model on a two dimensional noncommutative space with unbound metric
• Non-Hermitian dynamics and $\mathcal{P}\mathcal{T}$-symmetry breaking in interacting mesoscopic Rydberg platforms
• Purity oscillations in Bose-Einstein condensates with balanced gain and loss
• Kelvin-Helmholtz instability is the result of parity-time symmetry breaking
• Higher-order Time-Symmetry-Breaking Phase Transition due to meeting of an Exceptional Point and Fano Resonance
• Wavepacket Self-imaging and Giant Recombinations via Stable Bloch-Zener Oscillations in Photonic Lattices with Local $\mathcal{P}\mathcal{T}$-Symmetry
• Non-Hermitian magnon-photon interference in an atomic ensemble
• Generic examples of PT-symmetric qubit (spin 1/2) Liouvillians
• Quadratic PT-symmetric operators with real spectrum and similarity to self-adjoint operators
• Unidirectional Reflectionless Transmission for Two-Dimensional $\mathcal{P}\mathcal{T}$-symmetric Periodic Structures
• Solvable simulation of a double-well problem in PT symmetric quantum mechanics
• Interaction of sine-Gordon kinks and breathers with a $\mathcal{P}\mathcal{T}$-symmetric defect
• Non-Hermitian dynamics of slowly-varying Hamiltonians
• Percolation-induced PT symmetry breaking
• Relativistic PT-symmetric fermionic theories in 1+1 and 3+1 dimensions
• Dyson Maps and Unitary Evolution for Maxwell Equations in Tensor Dielectric Media
• Generalized Householder Transformations for the Complex Symmetric Eigenvalue Problem
• Solitons in Nonlinear Systems and Eigen-states in Quantum Wells
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Imaginary gauge transformation in momentum space and Dirac exceptional point
• Transmission enhancement in loss-gain multilayers by resonant suppression of reflection
• Exceptional points as lasing pre-thresholds in open-cavity lasers
• Spectrum generating algebras for position-dependent mass oscillator Schrodinger equations
• Nonlinear multi-core waveguiding structures with balanced gain and loss
• A brief review of hybrid skin-topological effect
• Tight-binding lattices with an oscillating imaginary gauge field
• Non-Hermitian topology in rock-paper-scissors games
• Partitioning technique for a discrete quantum system
• Data driven soliton solution of the nonlinear Schrödinger equation with certain $\mathcal{P}\mathcal{T}$-symmetric potentials via deep learning
• From PT-symmetric quantum mechanics to conformal field theory
• Scaling behavior and phase diagram of a PT-symmetric non-Hermitian Bose-Hubbard system
• Topological optomechanical amplifier with synthetic $\mathcal{P}\mathcal{T}$-symmetry
• An analysis of the zero energy states in graphene
• PT-Symmetric Quantum Theory Defined in a Krein Space
• Non-Hermitian Hamiltonians with a Real Spectrum and Their Physical Applications
• Exceptional points in coupled dissipative dynamical systems
• Interacting non-Hermitian ultracold atoms in a harmonic trap: Two-body exact solution and high-order exceptional point
• Simple harmonic oscillation in non-Hermitian SSH chain at exceptional point
• Two-Point Green's Function in PT-Symmetric Theories
• Non-inertial quantum clock frames lead to non-Hermitian dynamics
• Information retrieval and eigenstates coalescence in a non-Hermitian quantum system with anti-$\mathcal{P}\mathcal{T}$ symmetry
• PT-symmetric deformations of Calogero models
• $\mathcal{P}\mathcal{T}$ symmetry breaking in waveguide arrays with competing loss/gain pairs
• Transport properties in a Non-Hermitian triple-quantum-dot structure
• Experiments in PT-symmetric quantum mechanics
• Unidirectional Invisibility and PT-Symmetry with Graphene
• Topological edge-states of the PT-symmetric Su-Schrieffer-Heeger model: An effective two-state description
• Analysis of a Triple-cavity Photonic Molecule Based on Coupled Mode Theory
• An exactly solvable quantum-lattice model with a tunable degree of nonlocality
• Non-Hermitian von Roos Hamiltonian's $\eta$-weak-pseudo-Hermiticity, isospectrality and exact solvability
• Persistence of Topological Phases in Non-Hermitian Quantum Walks
• Generation of Bell, W and GHZ states via exceptional points in non-Hermitian quantum spin systems
• Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
• Maximal quantum entanglement at exceptional points via unitary and thermal dynamics
• Topological cascade laser for frequency comb generation in $\mathcal{P}\mathcal{T}$-symmetric structures
• A reality proof in PT-symmetric quantum mechanics
• Multifaceted dynamics and gap solitons in $\mathcal{P}\mathcal{T}$-symmetric periodic structures
• Self-localized Solitons of a q-Deformed Quantum System
• The Nielsen-Ninomiya theorem, PT-invariant non-Hermiticity and single 8-shaped Dirac cone
• Pseudo-chirality: a manifestation of Noether's theorem in non-Hermitian systems
• Scattering properties of PT-symmetric objects
• Shape-preserving beam transmission through non-Hermitian disordered lattices
• Eigenvalues of PT-symmetric oscillators with polynomial potentials
• Linear Quantum Entropy and Non-Hermitian Hamiltonians
• Pseudo-Hermitian Quantum Dynamics of Tachyonic Spin-1/2 Particles
• Universal scalefree non-Hermitian skin effect near the Bloch point
• Anomalous-order exceptional point and non-Markovian Purcell effect at threshold in one-dimensional continuum systems
• Matrix algorithm for solving Schroedinger equations with position-dependent mass or complex optical potentials
• Bernstein spectral method for quasinormal modes and other eigenvalue problems
• Probing CPT violation in meson mixing by non-cyclic phase
• Exactly solvable time-dependent non-Hermitian quantum systems from point transformations
• Admissible perturbations and false instabilities in PT-symmetric quantum systems
• Observation-dependent suppression and enhancement of two-photon coincidences by tailored losses
• On realizations of nonlinear Lie algebras by differential operators
• Solving the quantum master equation of coupled harmonic oscillators with Lie algebra methods
• Deconfinement to Confinement as PT phase transition
• Interplay between Fano resonance and $\mathcal{P}\mathcal{T}$ symmetry in non-Hermitian discrete systems
• Crypto-unitary forms of quantum evolution operators
• Should PT symmetric quantum mechanics be interpreted as nonlinear?
• Broken Time Translation Symmetry as a model for Quantum State Reduction
• Prethermalization and nonreciprocal phonon transport in a levitated optomechanical array
• Bulk-edge correspondence in nonunitary Floquet systems with chiral symmetry
• Supersymmetry, PT-symmetry and Spectral Bifurcation
• Linking scalar elastodynamics and non-Hermitian quantum mechanics
• PT-symmetry and its spontaneous breakdown explained by anti-linearity
• Pseudohermitian Hamiltonians, time-reversal invariance and Kramers degeneracy
• Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects
• Attraction centers and PT-symmetric delta-functional dipoles in critical and supercritical self-focusing media
• Encircling the Liouvillian exceptional points: a brief review
• Lattice gluodynamics at negative g^2
• Various Scattering Properties of a New PT-symmetric non-Hermitian potential
• Analysis technique for exceptional points in open quantum systems and QPT analogy for the appearance of irreversibility
• The resistive state in a superconducting wire: Bifurcation from the normal state
• Chiral symmetry in non-Hermitian systems: product rule and Clifford algebra
• Optical conductivity of curved graphene
• Matching method and exact solvability of discrete PT-symmetric square wells
• Universality of Pattern Formation
• Compactons versus Solitons
• Bragg-induced power oscillations in PT symmetric periodic photonic structures
• Impact of near-PT symmetry on exciting solitons and interactions based on a complex Ginzburg-Landau model
• Bootstrapping Calabi-Yau Quantum Mechanics
• Interaction effects on $\mathcal{P}\mathcal{T}$-symmetry breaking transition in atomic gases
• Experimental Liouvillian exceptional points in a quantum system without Hamiltonian singularities
• The non-Hermitian skin effect: A perspective
• Transition Probabilities in the Two-Level Quantum System with PT-Symmetric Non-Hermitian Hamiltonians
• Self-isospectral tri-supersymmetry in PT-symmetric quantum systems with pure imaginary periodicity
• Scattering in the PT-symmetric Coulomb potential
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework
• Exceptional Degeneracies in Traveling Wave Tubes with Dispersive Slow-Wave Structure Including Space-Charge Effect
• Bose-Einstein condensates with balanced gain and loss beyond mean-field theory
• Inverse engineering rigorous adiabatic Hamiltonian for non-Hermitian system
• Wireless Real-Time Capacitance Readout Based on Perturbed Nonlinear Parity-Time Symmetry
• Mode pairs in $\mathcal{P}\mathcal{T}$-symmetric multimode waveguides
• An introduction to PT-symmetric quantum mechanics -- time-dependent systems
• Pseudo-Hermitian Interactions in Dirac Theory: Examples
• Resonant mode conversion in the waveguides with an unbroken and broken PT-symmetry
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Single-mode lasers using parity-time-symmetric polarization eigenstates
• Exceptional Cones in 4D Parameter Space
• PT Symmetry in Classical and Quantum Statistical Mechanics
• Synchronization and coalescence in a dissipative two-qubit system
• Scattering-free pulse propagation through invisible non-Hermitian disorder
• The Bethe Ansatz and the Tzitzéica-Bullough-Dodd equation
• Possible treatment of the Ghost states in the Lee-Wick Standard Model
• Exceptional points for resonant states on parallel circular dielectric cylinders
• Current-voltage characteristics of the N-I-PT-symmetric non-Hermitian superconductor junction as a probe of non-Hermitian formalisms
• Unidirectional zero reflection as gauged parity-time symmetry
• Bootstrapping PT symmetric Hamiltonians
• A note on topological insulator phase in non-hermitian quantum systems
• Degenerate multi-solitons in the sine-Gordon equation
• PT-symmetric spectral singularity and negative frequency resonance
• Non-Hermitian Second-Order Topological Phases and Bipolar Skin Effect in Photonic Kagome Crystals
• Graphene plasmon-phonon coupled modes at the exceptional point
• Group theoretic approach to rationally extended shape invariant potentials
• First-order intertwining operators with position dependent mass and $\eta$- weak-psuedo-Hermiticity generators
• Realizing PT-symmetric BEC subsystems in closed hermitian systems
• Determining role of Krein signature for 3D Arnold tongues of oscillatory dynamos
• Surface-Wave Propagation on Non-Hermitian Metasurfaces with Extreme Anisotropy
• High-order series expansion of non-Hermitian quantum spin models
• Quantum Phase Transition in a Pseudo-hermitian Dicke model
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Bulk vortices and half-vortex surface modes in parity-time-symmetric media
• Non-Hermitian impurities in Dirac systems
• Magnified imaging based on non-Hermitian nonlocal cylindrical metasurfaces
• On nonlocal models of Kulish-Sklyanin type and generalized Fourier transforms
• Pseudo Hermitian Generalized Dirac Oscillators
• Reservoir-assisted symmetry breaking and coalesced zero-energy modes in an open PT-symmetric Su-Schrieffer-Heeger model
• Continuous-variable entanglement generated with a hybrid PT-symmetric system
• General Aspects of PT-Symmetric and P-Self-Adjoint Quantum Theory in a Krein Space
• Entanglement Dynamics in Anti-$\mathcal{P}\mathcal{T}$-Symmetric Systems
• Tailoring inhomogeneous $\mathcal{P}\mathcal{T}$-symmetric fiber Bragg grating spectra
• Extension of the $CPT$ Theorem to non-Hermitian Hamiltonians and Unstable States
• Non-Hermitian coupled cluster method for non-stationary systems and its interaction-picture reinterpretation
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Non-hermitean hamiltonians with unitary and antiunitary symmetry
• Realizing Topological Transition in a Non-Hermitian Quantum Walk with Circuit QED
• Interactions of bright and dark solitons with localized $\mathcal{P}\mathcal{T}$-symmetric potentials
• Antilinear deformations of Coxeter groups, an application to Calogero models
• Topological Protection in non-Hermitian Haldane Honeycomb Lattices
• Non-Bloch band theory for non-Hermitian continuum systems
• Generalized Bloch band theory for non-Hermitian bulk-boundary correspondence
• Non-linear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
• Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential is studied to get real and Supersymmetric Solution of PT-/Non-PT-Symmetric and Non-Hermitian Morse Potential via Hamiltonian Hierarchy Method
• $\mathcal{P}\mathcal{T}$-Symmetric Coherent Perfect Absorber with Graphene
• Controlling decoherence via $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian open quantum systems
• Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics
• Experimental observation of the Yang-Lee quantum criticality in open systems
• Dynamical phase diagram of parity-time symmetry with competing saturable channels
• Non-Hermitian spectral effects in a PT-symmetric waveguide
• Excitation of absorbing exceptional points in the time domain
• An alternative construction of the positive inner product in non-Hermitian quantum mechanics
• The Physical Interpretation of PT-invariant Potentials
• Machine learning non-Hermitian topological phases
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Embedding, simulation and consistency of $\mathcal{P}\mathcal{T}$ -symmetric quantum Theory
• Long-range entangled zero-mode state in a non-Hermitian lattice
• From Pseudo-bosons to Pseudo-Hermiticity via multiple generalized Bogoliubov transformations
• Synthetic magnetism for photon fluids
• Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT-symmetry
• Anomalous Parity-Time Symmetry Transition away from an Exceptional Point
• Asymmetric scattering by non-hermitian potentials
• Statistical mechanics for non-Hermitian quantum systems
• PT symmetric models in more dimensions and solvable square-well versions of their angular Schroedinger equations
• Chiral state transfer under dephasing
• Spin-half bosons with mass dimension three half: Evading the spin-statistics theorem
• Multiply Degenerate Exceptional Points and Quantum Phase Transitions
• Non-Hermitian eigenvalue knots and their isotopic equivalence
• The potential (iz)^m generates real eigenvalues only, under symmetric rapid decay conditions
• Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems
• Spinor solitons and their $\mathcal{P}\mathcal{T}$-symmetric offspring
• Pontryagin-Optimal Control of a non-Hermitian Qubit
• $\mathcal{P}\mathcal{T}$-symmetric coupler with ${\chi }^{(2)}$ nonlinearity
• Shape invariance approach to exact solutions of the Klein-Gordon equation
• Topological quantum walks: theory and experiments
• Realizing exceptional points by Floquet dissipative couplings in thermal atoms
• Spatiotemporal Stabilization of Locally PT-symmetric Semiconductor Lasers
• Weak Ergodicity Breaking in Non-Hermitian Many-body Systems
• Dissipative optical solitons in asymmetric Rosen-Morse potential
• Fundamental length in quantum theories with PT-symmetric Hamiltonians II: The case of quantum graphs
• PT symmetric fermionic field theories with axions: Renormalization and dynamical mass generation
• Discovery of a magnetic Dirac system with large intrinsic non-linear Hall effect
• Non-Hermitian quantum mechanics in non-commutative space
• Exceptional points in quantum and classical dynamics
• New Solvable Singular Potentials
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Energy-level-attraction and heating-resistant-cooling of mechanical resonators with exceptional points
• General Conditions to Realize Exceptional Points of Degeneracy in Two Uniform Coupled Transmission Lines
• Ghost Problems from Pauli-Villars to Fourth-Order Quantum Gravity and their Resolution
• Towards perturbative renormalization of ${\varphi }^2(i\varphi {)}^{\epsilon }$ quantum field theory
• Spiked and PT-symmetrized decadic potentials supporting elementary N-plets of bound states
• Information and thermodynamic properties of a non-Hermitian particle ensemble
• Stationary through-flows in a Bose-Einstein condensate with a PT-symmetric impurity
• Fractional Quantum Zeno Effect Emerging from Non-Hermitian Physics
• PT - symmetrized supersymmetric quantum mechanics
• Nonlinear Non-Hermitian Landau-Zener-Stückelberg-Majorana interferometry
• Exact solution of a non-Hermitian $\mathcal{PT}$-symmetric Heisenberg spin chain
• Creation and annihilation operators and coherent states for the PT-symmetric oscillator
• Non-Hermitian flatband generator in one dimension
• Spectral singularity and deep multiple minima in the reflectivity in non-Hermitian (complex) Ginocchio potential
• Electronic properties of a nanotorus
• Quantum Fisher Information Perspective on Sensing in Anti-PT Symmetric Systems
• Spiked potentials and quantum toboggans
• Piecewise Adiabatic Following in Non-Hermitian Cycling
• Propagation of Electromagnetic Waves in Linear Media and Pseudo-Hermiticity
• Non-Hermitian non-Abelian topological insulators with $PT$ symmetry
• Three solvable matrix models of a quantum catastrophe
• Exact solutions for time-dependent non-Hermitian oscillators: classical and quantum pictures
• Scattering cross section resonance originating from a spectral singularity
• Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation
• $\mathcal{P}\mathcal{T}$ symmetric phase transition and single-photon transmission in an optical trimmer system
• Pseudo supersymmetric partners for the generalized Swanson model
• Quantum parameter estimation of non-Hermitian systems with optimal measurements
• Anti-parity-time symmetry hidden in a damping linear resonator
• Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling
• Broadband and Wide-Angle Nonreciprocity with a Nonhermitian Metamaterial
• PT-symmetry broken by point-group symmetry
• Statistical Origin of Pseudo-Hermitian Supersymmetry and Pseudo-Hermitian Fermions
• Chebyshev-polynomial expansion of the localization length of Hermitian and non-Hermitian random chains
• Coherent States for PT-/Non-PT-Symmetric and Non-Hermitian Morse Potential via Path Integral Method
• Quantum and Classical Statistical Mechanics of a Class of non-Hermitian Hamiltonians
• Near-unit efficiency of chiral state conversion via hybrid-Liouvillian dynamics
• Realization of complex conjugate media using non-PT-symmetric photonic crystals
• Spectral singularities of odd-$PT$-symmetric potential
• Kurt Symanzik - a stable fixed point beyond triviality
• Third order spectral branch points in Krein space related setups: PT-symmetric matrix toy model, MHD alpha^2-dynamo, and extended Squire equation
• Solitary waves in Parity-time (PT) symmetric Bragg-grating structure and the existence of Optical Rogue Waves
• Topological triple phase transition in non-Hermitian quasicrystals with complex asymmetric hopping
• The band spectrum of periodic potentials with PT-symmetry
• Behavior of eigenvalues in a region of broken-PT symmetry
• Topological characterization of non-Hermitian multiband systems using Majorana's Stellar Representation
• Complex Berry phase instability in PT-symmetric coupled waveguides
• Path-Integral Formulation of Pseudo-Hermitian Quantum Mechanics and the Role of the Metric Operator
• Snakes and ghosts in a parity-time-symmetric chain of dimers
• PT phase transition in a (2+1)-d relativistic system
• Time-delay and reality conditions for complex solitons
• Dispersive readout of a weakly coupled qubit via the parity-time-symmetric phase transition
• Explicit solutions for nonlocal NLS: GBDT and algebro-geometric approaches
• PT-symmetric phase in kagome photonic lattices
• Geometric phase and phase diagram for non-Hermitian quantum XY model
• Universal subdiffusive behavior at band edges from transfer matrix exceptional points
• PT-symmetric lattices with spatially extended gain/loss are generically unstable
• Chiral Bosons in Noncommutative Spacetime
• Infinite families of (non)-Hermitian Hamiltonians associated with exceptional $X_m$ Jacobi polynomials
• Extended supersymmetry of the self-isospectral crystalline and soliton chains
• On the Pseudo-Hermiticity of a Class of PT-Symmetric Hamiltonians in One Dimension
• Quantum phase transitions in nonhermitian harmonic oscillator
• Scattering of partially coherent radiation by non-Hermitian localized structures having Parity-Time symmetry
• Prepotential approach to exact and quasi-exact solvabilities
• Y-System and Deformed Thermodynamic Bethe Ansatz
• QT-Symmetry and Weak Pseudo-Hermiticity
• Non-Hermiticity-Induced Wave Confinement and Guiding in Loss-Gain-Loss Three-Layer Systems
• Nonorthogonality constraints in open quantum and wave systems
• Coupling-induced nonunitary and unitary scattering in anti-PT-symmetric non-Hermitian systems
• Dynamical Noncommutative Graphene
• An alternative construction of the positive inner product for pseudo-Hermitian Hamiltonians: Examples
• Scattering properties of anti-parity-time symmetric non-Hermitian system
• Real spectra, Anderson localization, and topological phases in one-dimensional quasireciprocal systems
• The Loom for General Fishnet CFTs
• Complex Berry phase and imperfect non-Hermitian phase transitions
• Quantum centrality testing on directed graphs via PT-symmetric quantum walks
• Non-Hermitian Holography
• Scanning electron microscopy of cold gases
• Phantom universe from CPT symmetric QFT
• Taming Dyson-Schwinger equations with null states
• From real fields to complex Calogero particles
• Homogenization of Dispersive Spacetime Crystals: Anomalous Dispersion and Negative Stored Energy
• Non-Hermitian quantum system generated from two coupled Sachdev-Ye-Kitaev models
• Magnon dynamics in parity-time-symmetric dipolarly coupled waveguides and magnonic crystals
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• No Stability Switching at Saddle-Node Bifurcations of Solitary Waves in Generalized Nonlinear Schroedinger Equations
• Conserved quantities, exceptional points, and antilinear symmetries in non-Hermitian systems
• Passage through exceptional point: Case study
• Quantum Hamilton-Jacobi analysis of PT symmetric Hamiltonians
• New scattering features in non-Hermitian space fractional quantum mechanics
• Non-Hermitian extension of the Nambu--Jona-Lasinio model in 3+1 and 1+1 dimensions
• Non-Hermitian topology and criticality in photonic arrays with engineered losses
• An example of optimal field cut in lattice gauge perturbation theory
• Quantum-statistical approach to electromagnetic wave propagation and dissipation inside dielectric media and nanophotonic and plasmonic waveguides
• Observation of two PT transitions in an electric circuit with balanced gain and loss
• A class of exactly solvable rationally extended non-central potentials in Two and Three Dimensions
• Localized modes in dissipative lattice media: An overview
• Absorption in atomic wires
• Super-exponential diffusion in nonlinear non-Hermitian systems
• Quantum toboggans
• Nonlocal discrete continuity and invariant currents in locally symmetric effective Schrödinger arrays
• Localized states and skin effect around non-Hermitian impurities in tight-binding models
• Non-perturbative tests for the Asymptotic Freedom in the $\mathcal{P}\mathcal{T}$-symmetric $(-{\varphi }^4{)}_{3+1}$ theory
• Scattering of gap solitons by PT-symmetric defects
• Quantum Liouvillian exceptional and diabolical points for bosonic fields with quadratic Hamiltonians: The Heisenberg-Langevin equation approach
• A new perspective on the Fano absorption spectrum in terms of complex spectral analysis
• Complex Periodic Potentials with a Finite Number of Band Gaps
• On the Role of the Normalization Factors ${\kappa }_n$ and of the Pseudo-Metric $\mathcal{P}\ne {\mathcal{P}}^{†}$ in Crypto-Hermitian Quantum Models
• Symmetry-protected localized states at defects in non-Hermitian systems
• PT-symmetric optical superlattices
• Floquet exceptional contours in Lindblad dynamics with time-periodic drive and dissipation
• Statistical properties of eigenvalues of the non-Hermitian Su-Schrieffer-Heeger model with random hopping terms
• Quasiparticles of Decoherence Processes in Open Quantum Many-Body Systems: Incoherentons
• Systematic pathway to $\mathcal{P}\mathcal{T}$ symmetry breaking in scattering systems
• Signature of PT-symmetric non-Hermitian superconductivity in angle-resolved photoelectron fluctuation spectroscopy
• Experimental Observation of Partial Parity-Time Symmetry and Its Phase Transition with a Laser-Driven Cesium Atomic Gas
• Charge Conjugation Invariance of the Vacuum and the Cosmological Constant Problem
• Dynamics of finite dimensional non-hermitian systems with indefinite metric
• A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
• Classical oscillator with position-dependent mass in a complex domain
• Universality of modulation length (and time) exponents
• Dissipative time crystals originating from parity-time symmetry
• Does the complex deformation of the Riemann equation exhibit shocks?
• Factorization and superpotential of the PT symmetric Hamiltonian
• Exceptional points in oligomer chains
• Anomalous doublets of states in a PT symmetric quantum model
• Nonlinear light behaviors near phase transition in non-parity-time-symmetric complex waveguides
• A globally diagonalizable alpha^2-dynamo operator, SUSY QM and the Dirac equation
• Remarks on PT-pseudo-norm in PT-symmetric quantum mechanics
• On the lagrangian description of dissipative systems
• Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner-Yanase-Dyson skew information
• Exact Isospectral Pairs of PT-Symmetric Hamiltonians
• Symmetry breaking with opposite stability between bifurcated asymmetric solitons in parity-time-symmetric potentials
• Exceptional Points of Resonant States on a Periodic Slab
• Non linear pseudo-bosons versus hidden Hermiticity. II: The case of unbounded operators
• Scattering amplitudes for the rationally extended P T symmetric complex potentials
• PT symmetry, Cartan decompositions, Lie triple systems and Krein space related Clifford algebras
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Non-Hermitian topological exciton-polariton corner modes
• Complex symmetric Hamiltonians and exceptional points of order four and five
• Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators
• Filling up complex spectral regions through non-Hermitian disordered chains
• PT symmetry breaking and exceptional points for a class of inhomogeneous complex potentials
• Mapping between Hamiltonians with attractive and repulsive potentials on a lattice
• $S$-matrix pole symmetries for non-Hermitian scattering Hamiltonians
• Optimal Time Evolution for Hermitian and Non-Hermitian Hamiltonians
• Exotic entanglement for non-Hermitian Jaynes-Cummings Hamiltonians
• Measuring topological invariants for higher-order exceptional points in quantum three-mode systems
• Hamiltonians defined by biorthogonal sets
• Irreducible second order SUSY transformations between real and complex potentials
• Topological properties of non-Hermitian Creutz Ladders
• Exactly solvable models with PT-symmetry and with an asymmetric coupling of channels
• Nonlinear parity-time-symmetric transition in finite-size optical couplers
• Chern number in Ising models with spatially modulated real and complex fields
• Decays of degeneracies in PT-symmetric ring-shaped lattices
• Nonlinear anti-directional couplers with gain and loss
• Nonlinear nonuniform $\mathcal{P}\mathcal{T}$-symmetric Bragg grating structures
• $\mathcal{P}\mathcal{T}$ symmetry breaking for the scattering problem in a one-dimensional non-Hermitian lattice model
• Peregrine rogue waves in the nonlocal nonlinear Schrödinger equation with parity-time symmetric self-induced potential
• Entanglement Hamiltonian in the non-Hermitian SSH model
• On the infinite-dimensional QR algorithm
• Uncertainty Relation for Non-Hermitian Systems
• Use of Equivalent Hermitian Hamiltonian for $PT$-Symmetric Sinusoidal Optical Lattices
• The spectrum of the cubic oscillator
• Flow of time during energy measurements and the resulting time-energy uncertainty relations
• Acceleration toward polarization singularity inspired by relativistic ExB drift
• Alternative descriptions and bipartite compound quantum systems
• PT symmetry in relativistic quantum mechanics
• Decay of the Higgs boson to ${\tau }^{-}{\tau }^{+}$ and non-Hermiticity of the Yukawa interaction
• Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field
• PT-Invariant Periodic Potentials with a Finite Number of Band Gaps
• Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
• Analytically solvable $2\times 2$ $PT$-symmetry dynamics from su(1,1)-symmetry problems
• Timelessness strictly inside the Quantum Realm
• $\mathcal{P}\mathcal{T}$ symmetry of the Su-Schrieffer-Heeger model with imaginary boundary potentials and next-nearest-neighboring coupling
• Nonlocal reductions of the Ablowitz-Ladik equation
• Intertwining operators for non self-adjoint Hamiltonians and bicoherent states
• Crossing exceptional points in non-Hermitian quantum systems
• Curved wedges in the long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
• Non-Hermitian second-order topological superconductors
• Structure, Time Propagation and Dissipative Terms for Resonances
• Scattering theory for stationary materials with $\mathcal{P}\mathcal{T}$ symmetry
• Real Non-Hermitian Energy Spectra Without Any Symmetry
• On-demand Parity-Time symmetry in a lone oscillator through complex, synthetic gauge fields
• Creation and manipulation of bound states in continuum with lasers: Applications to cold atoms and molecules
• Ghost-spin chains, entanglement and $bc$-ghost CFTs
• Pseudo-Hermitian Hamiltonians Generating Waveguide Mode Evolution
• Bicomplex Hamiltonian systems in Quantum Mechanics
• Spectral analysis, chiral disorder and topological edge states manifestation in open non-Hermitian Su-Schrieffer-Heeger chains
• Extension of Noether's theorem in PT-symmetric systems and its experimental demonstration in an optical setup
• Exceptional point induced lasing dynamics in a non-Hermitian system
• Non-Hermitian effects of the intrinsic signs in topologically ordered wavefunctions
• Identifying non-Hermitian critical points with quantum metric
• Many-body Non-Hermitian Skin Effect At Finite Temperatures
• Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
• Scaling Universality at the Dynamic Vortex Mott Transition
• Nonlinear wave dynamics near phase transition in $\mathcal{P}\mathcal{T}$-symmetric localized potentials
• Hidden PT Symmetry and quantization of coupled-oscillators model of QASER
• Andreev bound states in junctions formed by conventional and $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductors
• Quantum state discrimination in a PT-symmetric system
• Exactly Solvable Many-Body Systems and Pseudo-Hermitian Point Interactions
• Light propagation in periodically modulated complex waveguides
• Metric versus observable operator representation, higher spin models
• $\mathcal{P}T$ symmetry, pattern formation, and finite-density QCD
• Complex Adiabatic Connection: a Hidden Non-Hermitian Path from Ground to Excited States
• Random matrix ensembles for $PT$-symmetric systems
• The Quark-Level Linear σ Model
• Onset of superconductivity in a voltage-biased NSN microbridge
• Virtual exceptional points in an electromechanical system
• Order-dependent mappings: strong coupling behaviour from weak coupling expansions in non-Hermitian theories
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Exactly Solvable Non-Separable and Non-Diagonalizable 2-Dim Model with Quadratic Complex Interaction
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Exceptional Points in the Baxter-Fendley Free Parafermion Model
• On the Dirac equation with PT-symmetric potentials in the presence of position-dependent mass
• Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\mathcal{P}\mathcal{T}$-symmetry breaking in a Floquet system
• Non-reciprocal mu-near-zero mode in PT-symmetric magnetic domains
• Ising chain with topological degeneracy induced by dissipation
• Scrambling and operator entanglement in local non-Hermitian quantum systems
• Spectrally equivalent time-dependent double wells and unstable anharmonic oscillators
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Fractional statistics in some exactly solvable Calogero-like models with PT invariant interactions
• Parity-time-symmetric closed form optical quadrimer waveguides
• Conformal bridge transformation and PT symmetry
• Pseudo-Hermiticity of an Exactly Solvable Two-Dimensional Model
• Dual oscillators and Quantum Pendulums: spectrum and correlators
• Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures
• Overcritical PT-symmetric square well potential in the Dirac equation
• PT phase transition in multidimensional quantum systems
• Competing PT potentials and re-entrant PT symmetric phase for a particle in a box
• E2-quasi-exact solvability for non-Hermitian models
• $\mathcal{D}$-deformed harmonic oscillators
• Nonlinear currents in a ring-shaped waveguide with balanced gain and dissipation
• Stationary and traveling solitons via local dissipations in Bose-Einstein condensates in ring optical lattices
• Improving shortcuts to non-Hermitian adiabaticity for fast population transfer in open quantum systems
• Non-Hermitian time-dependent perturbation theory: asymmetric transitions and transitionless interactions
• Broadband Coherent Perfect Absorber with PT-Symmetric 2D-Materials
• Coherence and complementarity based on modified generalized skew information
• Uncertainty Relations Based on Modified Wigner-Yanase-Dyson Skew Information
• Non-Hermitian Fabry-Perot Resonances in a PT-symmetric system
• Quasinormal mode analysis of chiral power flow from linearly polarized dipole emitters coupled to index-modulated microring resonators close to an exceptional point
• Engineering Yang-Lee anyons via Majorana bound states
• Non-Hermitian Hartman effect
• Quantum walks of correlated photons in non-Hermitian photonic lattices
• Gain-Loss Coupled Systems
• Novel Topology and Manipulation of Scattering Singularities in Complex non-Hermitian Systems
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• $\mathcal{P}\mathcal{T}$-symmetric effects in measurement-based quantum thermal machines
• Experimentally-realizable $\mathcal{P}\mathcal{T}$ phase transitions in reflectionless quantum scattering
• Signature of exceptional point phase transition in Hermitian systems
• Robust quantum boomerang effect in non-Hermitian systems
• Complex Spatiotemporal Modulations and Non-Hermitian Degeneracies in $\mathcal{P}\mathcal{T}$-Symmetric Phononic Materials
• Enhancement of photon creation through the pseudo-Hermitian dynamical Casimir effect
• Dissipative dynamics in open XXZ Richardson-Gaudin models
• Non-Hermitian gauge field theories and BPS limits
• $\mathcal{P}\mathcal{T}$-symmetry breaking in a Kitaev chain with one pair of gain-loss potentials
• Conformal generation of an exotic rotationally invariant harmonic oscillator
• Parameter estimation and quantum entanglement in PT symmetrical cavity magnonics system
• Electromagnetic fields in a time-varying medium: Exceptional points and operator symmetries
• Dark soliton of polariton condensates under nonresonant PT-symmetric pumping
• On the construction of non-Hermitian Hamiltonians with all-real spectra through supersymmetric algorithms
• Floquet control of global $PT$ symmetry in 2D arrays of quadrimer waveguides
• Non-Hermitian spectral changes in the scattering of partially coherent radiation by periodic structures
• Time-independent approximations for time-dependent optical potentials
• Bulk-edge correspondence and stability of multiple edge states of a $\mathcal{P}\mathcal{T}$ symmetric non-Hermitian system by using non-unitary quantum walks
• Exceptional Point of Degeneracy in Backward-Wave Oscillator with Distributed Power Extraction
• Nonlinear symmetries of perfectly invisible $PT$-regularized conformal and superconformal mechanics systems
• PT-symmetric quantum graphs
• Coherent perfect absorption and laser modes in a cylindrical structure of conjugate metamaterials
• Detecting topological exceptional points in a parity-time symmetric system with cold atoms
• Exact control of parity-time symmetry in periodically modulated nonlinear optical couplers
• Analysis of unidirectional non-paraxial invisibility of purely reflective PT-symmetric volume gratings
• Non-Hermitian heat engine with all-quantum-adiabatic-process cycle
• A unidirectional invisible PT-symmetric complex crystal with arbitrary thickness
• Non-Hermitian quantum dynamics and entanglement of coupled nonlinear resonators
• Shock-induced $\mathcal{P}\mathcal{T}$-symmetric potentials in gas-filled photonic crystal fibers
• PT-symmetry, indefinite damping and dissipation-induced instabilities
• Non linear pseudo-bosons versus hidden Hermiticity
• Conformal linear gravity in de Sitter space II
• Noninteger flux - why it does not work
• Formulation of Complex Action Theory
• Entanglement in Non-Hermitian Quantum Theory
• Thermodynamics of Pseudo-Hermitian Systems in Equilibrium
• Detecting Broken PT-Symmetry
• Tunneling decay in a magnetic field
• Ordinary Differential Equations and Integrable Models
• Optomechanically induced transparency and directional amplification in a non-Hermitian optomechanical lattice
• Bi-squeezed states arising from pseudo-bosons
• Dynamical evolutions in non-Hermitian triple-well system with complex potential
• Accessible phases via wave impedance engineering with PT-symmetric metamaterials
• Optical Modes in PT-Symmetric Double-Channel Waveguides
• Self-stabilization of light sails by damped internal degrees of freedom
• General theory of regular biorthogonal pairs and its physical applications
• The MHD alpha^2-dynamo, Z_2-graded pseudo-Hermiticity, level crossings and exceptional points of branching type
• Unitary evolution for a two-level quantum system in fractional-time scenario
• Solving the One-Dimensional Time-Independent Schrödinger Equation with High Accuracy: The LagrangeMesh Mathematica Package
• Approximate Dirac solutions of complex -symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries
• Generalized Heisenberg algebra and (non linear) pseudo-bosons
• Coherent perfect absorption with and without lasing in complex potentials
• Universal conductance of a PT-symmetric Luttinger liquid after a quantum quench
• PT-symmetry Management in Oligomer Systems
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Quantum phase transitions in non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric transverse-field Ising spin chains
• Many-body phase transitions in a non-Hermitian Ising chain
• Coherent states of non-Hermitian quantum systems
• PT Symmetric, Hermitian and P-Self-Adjoint Operators Related to Potentials in PT Quantum Mechanics
• Field patterns without blow up
• PT-symmetry breaking with divergent potentials: lattice and continuum cases
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Complex oscillator and Painlevé IV equation
• Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
• Spontaneous and explicit parity-time-symmetry breaking in drift wave instabilities
• Resonant generation of $p$-wave Cooper pair in non-Hermitian Kitaev chain at exceptional point
• PT-symmetry breaking in resonant tunneling heterostructures
• PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation
• Finite-temperature quantum criticality in a complex-parameter plane
• $\mathcal{P}\mathcal{T}$ symmetric evolution, coherence and violation of Leggett-Garg inequalities
• Pyramid diffraction in parity-time-symmetric optical lattices
• Quantum transport in non-Hermitian impurity array
• Cryptoreality of nonanticommutative Hamiltonians
• Chaotic diffusion of complex trajectory and its quantum signature
• Exact WKB analysis for $\mathcal{P}\mathcal{T}$ symmetric quantum mechanics: Study of the Ai-Bender-Sarkar conjecture
• Exact Solutions for Non-Hermitian Dirac-Pauli Equation in an intensive magnetic field
• Balanced gain and loss in Bose-Einstein condensates without PT symmetry
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Quantum toboggans with two branch points
• On the construction of pseudo-hermitian quantum system with a pre-determined metric in the Hilbert space
• Veiled symmetry of disordered Parity-Time lattices: protected PT-threshold and the fate of localization
• Two-dimensional solitons in conservative and parity-time-symmetric triple-core waveguides with cubic-quintic nonlinearity
• Open quantum systems with loss and gain
• Embedding quantum systems with a non-conserved probability in classical environments
• $\ell$-oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras
• Generalized Ellis-Bronnikov graphene wormhole
• Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
• Unbounded C-symmetries and their nonuniqueness
• Stability and collisions of quantum droplets in PT -symmetric dual-core couplers
• Determination of the domain of the admissible matrix elements in the four-dimensional PT-symmetric anharmonic model
• Harnessing Spectral Singularities in Non-Hermitian Cylindrical Structures
• Strengthened PT-symmetry with P $\ne$ P${}^{†}$
• Algebraic maximum violation of the Leggett-Garg inequality in a two-level system under PT symmetric dynamics
• Universal properties of conformal quantum many-body systems
• Cross-symmetric dipolar-matter-wave solitons in double-well chains
• Topology of multiple cross-linked Su-Schrieffer-Heeger chains
• Discrete spacetime symmetries, second quantization, and inner products in a non-Hermitian Dirac fermionic field theory
• Real-Time Transport in Open Quantum Systems From $\mathcal{P}\mathcal{T}$-Symmetric Quantum Mechanics
• Investigation of PT-symmetric Hamiltonian systems from an alternative point of view
• A pedestrian introduction to coherent and squeezed states
• Creating and controlling exceptional points of non-Hermitian Hamiltonians via homodyne Lindbladian invariance
• Supersymmetric model of a Bose-Einstein condensate in a $\mathcal{P}\mathcal{T}$-symmetric double-delta trap
• Periodic square-well potential and spontaneous breakdown of PT-symmetry
• Pseudomagnetic suppression of non-Hermitian skin effect
• Holonomic Gates in Pseudo-Hermitian Quantum Systems
• Nonlinear Zel'dovich effect: Parametric amplification from medium rotation
• Transport and localization of waves in ladder-shaped lattices with locally $\mathcal{P}\mathcal{T}$-symmetric potentials
• $PT$-symmetric graphene under a magnetic field
• Observing a Changing Hilbert-Space Inner Product
• Nonlinear eigenvalue problems for generalized Painlevé equations
• Universal Route for the Emergence of Exceptional Points in PT-Symmetric Metamaterials with Unfolding Spectral Symmetries
• Coordinate representation for non Hermitian position and momentum operators
• Ternary generalization of Pauli's principle and the Z6-graded algebras
• Spectrum and normal modes of non-hermitian quadratic boson operators
• On (non-Hermitian) Lagrangeans in (particle) physics and their dynamical generation
• Time-dependent metric for the two dimensional, non-Hermitian coupled oscillator
• Parity-time symmetry under magnetic flux
• Ultrarelativistic Decoupling Transformation for Generalized Dirac Equations
• Milne quantization for non-Hermitian systems
• Exactly solvable $\mathcal{P}\mathcal{T}$-symmetric models in two dimensions
• Observables in non-Hermitian systems: A methodological comparison
• Spontaneous PT-symmetry breaking for systems of noncommutative Euclidean Lie algebraic type
• Multimode parity-time and loss-compensation symmetries in coupled waveguides with loss and gain
• The effect of thermal photons on exceptional points in coupled resonators
• A black potential for spin less particles
• Complete particle-pair annihilation as a dynamical signature of the spectral singularity
• Existence of Different Intermediate Hamiltonians in Type A N-fold Supersymmetry
• Gauging non-Hermitian Hamiltonians
• A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems
• Excepional Points from Hamiltonians of hybrid physical systems: Squeezing and anti-Squeezing
• Pseudo Hermitian formulation of Black-Scholes equation
• Asymptotically vanishing PT-symmetric potentials and negative-mass Schroedinger equations
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Quantum deleting and cloning in a pseudo-unitary system
• Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration
• Unitary Scattering Protected by Pseudo-Hermiticity
• Modeling the unphysical pseudomode model with physical ensembles: simulation, mitigation, and restructuring of non-Markovian quantum noise
• Connecting active and passive $\mathcal{P}\mathcal{T}$-symmetric Floquet modulation models
• Confluences of exceptional points and a systematic classification of quantum catastrophes
• Conserved Correlation in PT -symmetric Systems: Scattering and Bound States
• Non-Hermitian multi-particle systems from complex root spaces
• IR/UV mixing from local similarity maps of scalar non-Hermitian field theories
• Quantum Big Bang without fine-tuning in a toy-model
• Linear representation of energy-dependent Hamiltonians
• Structure results for higher order symmetry algebras of 2D classical superintegrable systems
• Physics of PT-Symmetric Quantum Systems at Finite Temperature
• Integrable nonlinear parity-time symmetric optical oscillator
• Generalized Grassmannian Coherent States For Pseudo-Hermitian $n$ Level Systems
• Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices
• Non-Bloch PT symmetry breaking: Universal threshold and dimensional surprise
• Two patterns of PT-symmetry breakdown in a non-numerical six-state simulation
• The Quantum Effective Mass Hamilton-Jacobi Problem
• Phase shifted $\mathcal{P}\mathcal{T}$-symmetric periodic structures
• Harnessing $\mathcal{P}\mathcal{T}$-symmetry in non-Hermitian stiffness-modulated waveguides
• A new solvable complex PT-symmetric potential
• Synthesis of lossless electric circuits based on prescribed Jordan forms
• Perturbation theory near degenerate exceptional points
• Accidental crossings of eigenvalues in one-dimensional complex PT-symmetric Scarf-II potential
• On Domains of PT Symmetric Operators Related to -y''(x) + (-1)^n x^{2n}y(x)
• PT-symmetric regularizations in supersymmetric quantum mechanics
• Spin-chain-star systems: entangling multiple chains of spin qubits
• Detecting exceptional points through dynamics in non-Hermitian systems
• Phase space representation of non-Hermitian system with $\mathcal{P}\mathcal{T}$-symmetry
• Position-dependent mass effects on a bilayer graphene catenoid bridge
• Extension of a Spectral Bounding Method to Complex Rotated Hamiltonians, with Application to $p^2-i{x}^3$
• Phantom without phantom or how the PT symmetry saves us from the Big Rip
• Supercritical blowup in coupled parity-time-symmetric nonlinear Schrödinger equations
• Entangled Quantum State Discrimination using Pseudo-Hermitian System
• Lie transformation method on quantum state evolution of a general time-dependent driven and damped parametric oscillator
• Parity-time symmetry and coherent perfect absorption in a cooperative atom response
• Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
• Gyrating solitons in a necklace of optical waveguides
• On the K-theoretic classification of dynamically stable systems
• Realization of $\mathcal{P}\mathcal{T}$-symmetric and $\mathcal{P}\mathcal{T}$-symmetry broken states in static optical lattice potentials
• Asymptotic freedom in a strongly interacting scalar quantum field theory in four Euclidean dimensions
• Transmission phase lapse in the non-Hermitian Aharonov-Bohm interferometer near the spectral singularity
• Bistable soliton switching dynamics in a $\mathcal{P}\mathcal{T}$-symmetric coupler with saturable nonlinearity
• Theory of response to perturbations in non-Hermitian systems using five-Hilbert-space reformulation of unitary quantum mechanics
• Pseudo-reality and pseudo-adjointness of Hamiltonians
• How to Synthesize Exceptional Points with Three Resonators
• Holomorphic Density Functional Theory
• Quantum-Classical Correspondence of Non-Hermitian Symmetry Breaking
• Subthreshold phonon generation in an optomechanical system with an exceptional point
• Direct observation of energy band attraction effect in non-Hermitian systems
• Enhancing the sensitivity of nonlinearity sensors through homodyne detection in dissipatively coupled systems
• Controlling lasing around Exceptional Points in Coupled Nanolasers
• Quantum Graphs: $\mathcal{P}\mathcal{T}$-symmetry and reflection symmetry of the spectrum
• Unified entropies and quantum speed limits for nonunitary dynamics
• Exceptional Point of Degeneracy in Linear-Beam Tubes for High Power Backward-Wave Oscillators
• One-Way Optical Transition based on Causality in Momentum Space
• Resonant interaction of ${\varphi }^4$ kink with spatially periodic $\mathcal{P}\mathcal{T}$-symmetric perturbation
• Composite quantum Coriolis forces
• Cosmological perturbations in conformal gravity II
• The particle in a box in PT quantum mechanics and an electromagnetic analog
• Poeschl-Teller paradoxes
• The combination of directional outputs and single-mode operation in circular microdisk with broken PT symmetry
• Life at the Landau pole
• Static synthetic gauge field control of double optomechanically induced transparency in a closed-contour interaction scheme
• Stability of topologically protected edge states in nonlinear quantum walks: Additional bifurcations unique to Floquet systems
• Analytic structure of eigenvalues of coupled quantum systems
• Hybrid form of quantum theory with non-Hermitian Hamiltonians
• Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information
• Quasi-Hermitian supersymmetric extensions of a non-Hermitian oscillator Hamiltonian and of its generalizations
• Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry
• Imaginary Potential Induced Quantum Coherence for Bose-Einstein Condensates
• Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling
• Non-Hermitian systems of Euclidean Lie algebraic type with real eigenvalue spectra
• Characterization of Parity-Time Symmetry in Photonic Lattices Using Heesh-Shubnikov Group Theory
• Quantum fluctuations on top of a $\mathcal{P}\mathcal{T}$-symmetric Bose-Einstein Condensate
• Stationary states in the many-particle description of Bose-Einstein condensates with balanced gain and loss
• Quadratic pseudosupersymmetry in two-level systems
• CPT-Frames for PT-symmetric Hamiltonians
• mKdV equation approach to zero energy states of graphene
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Are observables necessarily Hermitian?
• Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field
• Hidden self-duality and exact mobility edges in quasiperiodic network models
• On nonlocal reductions of the multi-component nonlinear Schrodinger equation on symmetric spaces
• Extending PT symmetry from Heisenberg algebra to E2 algebra
• Boundary Effects of Weak Nonlocality in Multilayered Dielectric Metamaterials
• Pseudo-invariant approach for a particle in a complex time-dependent linear potential
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Delocalization of non-Hermitian Quantum Walk on Random Media in One Dimension
• Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer
• Experimental demonstration of enhanced violations of Leggett-Garg inequalities in a $\mathcal{P}\mathcal{T}$-symmetric trapped-ion qubit
• PT-symmetric sine-Gordon breathers
• No-signaling principle and Bell inequality in PT-symmetric quantum mechanics
• Broadband mixing of $\mathcal{P}\mathcal{T}$-symmetric and $\mathcal{P}\mathcal{T}$-broken phases in photonic heterostructures with a one-dimensional loss/gain bilayer
• Principle of minimal singularity for Green's functions
• Exceptional points and scattering of discrete mechanical metamaterials
• Gravitational Effects in g Factor Measurements and High-Precision Spectroscopy: Limits of Einstein's Equivalence Principle
• Bicoherent-State Path Integral Quantization of a non-Hermitian Hamiltonian
• One-sided destructive quantum interference from an exceptional point-enabled metasurface
• Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation
• Parity-Time Symmetry Breaking beyond One Dimension: The Role of Degeneracy
• Solvable dilation model of $\mathcal{P}\mathcal{T}$-symmetric systems
• Hilbert space inner products for PT-symmetric Su-Schrieffer-Heeger models
• Quantum tomography of a third-order exceptional point in a dissipative trapped ion
• Non-Hermitian Hamiltonians and similarity transformations
• Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of $\mathcal{P}\mathcal{T}$ symmetry
• Tachyonic Dispersion in Coherent Networks
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Exceptional points and domains of unitarity for a class of strongly non-Hermitian real-matrix Hamiltonians
• The phase diagram and vortex properties of PT-symmetric non-Hermitian two-component superfluid
• A chain of solvable non-Hermitian Hamiltonians constructed by a series of metric operators
• Exactly solvable three-body Calogero-type model with translucent two-body barriers
• Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models
• Integrable models from PT-symmetric deformations
• Detection of unbroken phase of non-Hermitian system via Hermitian factorization surface
• Electron and Spin Transport in the Presence of Complex Absorbing Potential
• Exact Solutions of the Schrödinger Equation with position-dependent effective mass via general point canonical transformation
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Fate of Topological Edge States in Disordered Periodically-driven Nonlinear Systems
• Self-Organized Criticality as Witten-type Topological Field Theory with Spontaneously Broken Becchi-Rouet-Stora-Tyutin Symmetry
• Random-matrix theory of amplifying and absorbing resonators with PT or PTT' symmetry
• Classification of multiple arbitrary-order non-Hermitian singularities
• Quantum Systems and Alternative Unitary Descriptions
• New Exactly Solvable Isospectral Partners for PT Symmetric Potentials
• On regular and chaotic dynamics of a non-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonian system of a coupled Duffing oscillator with balanced loss and gain
• $\mathcal{P}\mathcal{T}$-symmetric quantum field theory on the noncommutative spacetime
• Anomalous spontaneous emission dynamics at chiral exceptional points
• Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system
• Oscillation death in coupled counter-rotating identical nonlinear oscillators
• Extended Jaynes-Cummings models and (quasi)-exact solvability
• Observation of SQUID-like behavior in fiber laser with intra-cavity epsilon-near-zero effect
• Waveguides with Absorbing Boundaries: Nonlinearity Controlled by an Exceptional Point and Solitons
• Optical fluxes in coupled $\mathcal{P}\mathcal{T}$-symmetric photonic structures
• Semiclassical Husimi distributions for non-Hermitian quantum systems
• Exact Solution of a Electron System Combining Two Different t-J Models
• Dynamical control of solitons in a parity-time-symmetric coupler by periodic management
• Formation of Exceptional Points in pseudo-Hermitian Systems
• Active energy transport and the role of symmetry breaking in microscopic power grid
• Piecewise Adiabatic Following: General Analysis and Exactly Solvable Models
• A complex periodic QES potential and exceptional points
• Poincaré symmetries and representations in pseudo-Hermitian quantum field theory
• Light scattering from stationary $\mathcal{P}\mathcal{T}$-symmetric collections of particles
• Constructing Exactly Solvable Pseudo-hermitian Many-particle Quantum Systems by Isospectral Deformation
• Theory and Numerical Modelling of Parity-Time Symmetric Structures in Photonics: Introduction and Grating Structures in One Dimension
• A possible method for non-Hermitian and non-$PT$-symmetric Hamiltonian systems
• Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement
• Stokes Multipliers, Spectral Determinants and T-Q relations
• Constructing the scattering matrix for optical microcavities as a nonlocal boundary value problem
• Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics
• N-site-lattice analogues of $V(x)=i{x}^3$
• Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics
• Hamiltonian formulation of systems with balanced loss-gain and exactly solvable models
• Controllable distant interactions at bound state in the continuum
• Interplay of nonreciprocity and nonlinearity on mean-field energy and dynamics of a Bose-Einstein condensate in a double-well potential
• Generalized gauge transformation with $PT$-symmetric non-unitary operator and classical correspondence of non-Hermitian Hamiltonian for a periodically driven system
• Winding in Non-Hermitian Systems
• $CPT$-symmetric coupler with intermodal dispersion
• Spacetime Emergence and General Covariance Transmutation
• Identification of observables in quantum toboggans
• Work distribution in a photonic system
• Exceptional Points and Stability in Nonlinear Models of Population Dynamics having $\mathcal{P}\mathcal{T}$ symmetry
• Effective non-Hermitian physics for degenerate ground states of a nonHermitian Ising model with $\mathcal{R}\mathcal{T}$ symmetry
• Integrable coupled Li$\acute{e}$nard-type systems with balanced loss and gain
• Negative-energy PT-symmetric Hamiltonians
• WKB Analysis of PT-Symmetric Sturm-Liouville problems. II
• Complex BPS Skyrmions with real energy
• Hybridization of topological surface states with a flat band
• $\mathcal{P}\mathcal{T}$ symmetry-protected exceptional cones and analogue Hawking radiation
• Bifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations
• On elements of the Lax-Phillips scattering scheme for PT-symmetric operators
• A simple model of pointlike spacetime defects and implications for photon propagation
• $\mathcal{P}\mathcal{T}$ symmetric models with nonlinear pseudo supersymmetry
• Light transfer transitions beyond higher-order exceptional points in parity-time and anti-parity-time symmetric waveguide arrays
• Study on Asymmetric Diffraction of Acoustic Parity-Time-Symmetric Gratings Using Rigorous Coupled-Wave Analysis
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Small-$\epsilon$ behavior of the Non-Hermitian PT-Symmetric Hamiltonian $H=p^2+x^2(ix{)}^{\epsilon }$
• Resonances and PT symmetry in quantum curves
• Nonlinear Parity-Time (PT) symmetric closed-form optical quadrimer waveguides: Attractor perspective
• Field patterns: a new type of wave with infinitely degenerate band structure
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems
• Deconstructing non-Dirac-hermitian supersymmetric quantum systems
• Non-Hermitian quantum rings
• On Existence of a Biorthonormal Basis Composed of Eigenvectors of Non-Hermitian Operators
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• Effective Field calculations of the Energy Spectrum of the $\mathcal{P}\mathcal{T}$-Symmetric ($-x^4$) Potential
• Metastable two-component solitons near an exceptional point
• PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework
• Emergent Phenomena with Broken Parity-Time Symmetry: Odd-order vs. Even-order Effects
• Nonlinear Schrödinger equations and generalized Heisenberg uncertainty principle violating the principle of estimation independence
• Pseudo-Hermitian coherent states under the generalized quantum condition with position-dependent mass
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
• Non-Hermitian dynamics of a two-spin system with PT symmetry
• Time-dependent C-operators as Lewis-Riesenfeld invariants in non-Hermitian theories
• Non-Hermitian $\mathcal{P}\mathcal{T}$-Symmetric Dirac-Pauli Hamiltonians with Real Energy Eigenvalues in the Magnetic Field
• Simulating non-Hermitian dynamics of a multi-spin quantum system and an emergent central spin model
• Electronic states in a quantum Beltrami surface
• Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation
• Schwinger-Dyson equations and mass generation for an axion theory with a PT symmetric Yukawa fermion interaction
• A Brief History of Free Parafermions
• Temporal correlation beyond quantum bounds in non-hermitian dynamics
• Anomalous mechanisms of the loss of observability in non-Hermitian quantum models
• Bounded dynamics of finite PT-symmetric magnetoinductive arrays
• Replica Symmetry Breaking for the Integrable Two-Site Sachdev-Ye-Kitaev Model
• No-signaling principle and quantum brachistochrone problem in $PT$-symmetric fermionic two- and four-dimensional models
• Lorentz Symmetric Quantum Field Theory for Symplectic Fermions
• Engineering imaginary stark ladder in a dissipative lattice: passive $\mathcal{P}\mathcal{T}$ symmetry, K symmetry and localized damping
• Gain assisted controllable fast light generation in cavity magnomechanics
• Observing Parity Time Symmetry Breaking in a Josephson Parametric Amplifier
• Analysis of Dirac exceptional points and their isospectral Hermitian counterparts
• Jordan blocks and the Bethe ansatz I: The eclectic spin chain as a limit
• Singular perturbation of polynomial potentials in the complex domain with applications to PT-symmetric families
• Comprehensive understanding of parity-time transitions in $\mathcal{P}\mathcal{T}$ symmetric photonic crystals with an antiunitary group theory
• Non-Hermitian Yukawa interactions of fermions with axions: potential microscopic origin and dynamical mass generation
• $\mathcal{P}\mathcal{T}$ deformation of angular Calogero models
• Modal Purcell factor in $\mathcal{P}\mathcal{T}$-symmetric waveguides
• Probing de Sitter Space Using CFT States
• Quantum mold casting for topological insulating and edge states
• Modulational instability in $\mathcal{P}\mathcal{T}$-symmetric Bragg grating structures with saturable nonlinearity
• Discriminant indicators with generalized inversion symmetry
• Equivalence and superposition of real and imaginary quasiperiodicities
• Generation and controlling of ultrashort self-similar solitons and rogue waves in inhomogeneous optical waveguide
• Resolvent estimates for one-dimensional Schrödinger operators with complex potentials
• Bistability and nonequilibrium condensation in a driven-dissipative Josephson array: a c-field model
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• $\mathcal{P}\mathcal{T}$ Symmetric Hamiltonian Model and Dirac Equation in 1+1 dimensions
• Exceptional point in a coupled Swanson system
• Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
• PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues
• Spectral and transport properties of a $\mathcal{P}\mathcal{T}$-symmetric tight-binding chain with gain and loss
• PT-Symmetric Quantum Electrodynamics and Unitarity
• Liouvillian and Hamiltonian exceptional points of atomic vapors: The spectral signatures of quantum jumps
• Non-adiabatic transitions in a non-symmetric optical lattice
• Tachyonic Field Theory and Neutrino Mass Running
• Scattering states of a particle, with position-dependent mass, in a $\mathcal{P}\mathcal{T}$ symmetric heterojunction
• Entangled states in the role of witnesses
• Phase-controlled Optical PT symmetry and asymmetric light diffraction in one- and two-dimensional optical lattices
• Surface plasmon-polaritons in graphene, embedded into medium with gain and losses
• A General Approach of Quasi-Exactly Solvable Schroedinger Equations with Three Known Eigenstates
• Quantum graphs: self-adjoint, and yet exhibiting a nontrivial $\mathcal{P}\mathcal{T}$-symmetry
• Semiclassical analysis of a complex quartic Hamiltonian
• Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty
• The effect of polarization on the propagation distance of leaky guided modes
• Constraining work fluctuations of non-Hermitian dynamics across the exceptional point of a superconducting qubit
• Operator description for thermal quantum field theories on an arbitrary path in the real time formalism
• Realization of balanced gain and loss in a time-dependent four-mode Bose-Hubbard model
• Parity-time symmetric systems with memory
• Spin Josephson effects of spin-orbit-coupled Bose-Einstein condensates in a non-Hermitian double well
• The cryptohermitian smeared-coordinate representation of wave functions
• Edge states in a non-Hermitian topological crystalline insulator
• Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
• Quantum Optics of Non-Hermitian Optical Systems: Propagation of Squeezed State of Light through Dispersive non-Hermitian Optical Bilayers
• Restrain the losses of the entanglement and the non-local advantage of quantum coherence for accelerated quantum systems
• Metric operators for non-Hermitian quadratic su(2) Hamiltonians
• Exact quantization conditions and full transseries structures for $\mathcal{P}\mathcal{T}$ symmetric anharmonic oscillators
• Magnetic Bloch oscillations in a non-Hermitian quantum Ising chain
• Asymmetric soliton mobility in competing linear-nonlinear PT-symmetric lattices
• Neutrino Helicity Reversal and Fundamental Symmetries
• The hierarchies of "witnesses" and the properties and characterization of entangled states as super entanglement witnesses
• Variational approximations of soliton dynamics in the Ablowitz-Musslimani nonlinear Schrödinger equation
• Effective impurity behavior emergent from non-Hermitian proximity effect
• Renormalisation group flows connecting a $4-\epsilon$ dimensional Hermitian field theory to a $\mathcal{P}\mathcal{T}$-symmetric theory for a fermion coupled to an axion
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Complex magnetic fields: An improved Hardy-Laptev-Weidl inequality and quasi-self-adjointness
• Non-perturbative calculations for the effective potential of the $PT$ symmetric and non-Hermitian $(-g{\varphi }^4)$ field theoretic model
• Energetic cost for speedy synchronization in non-Hermitian quantum dynamics
• Necklaces of $\mathcal{P}\mathcal{T}$-symmetric dimers
• PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians
• A Novel SUSY Energy Bound States Treatment of the Klein-Gordon Equation with PT-Supersymmetric and q-Deformed Hulthen Potential
• Balanced Gain-and-Loss Optical Waveguides: Exact Solutions for Guided Modes in Susy-QM
• Pseudo-Hermitian Random Matrix Models: General Formalism
• PT-symmetrically deformed shock waves
• Real energies and Berry phases in all PT-regimes in time-dependent non-Hermitian theories
• Conjecture on the analyticity of PT-symmetric potentials and the reality of their spectra
• Broadband and Wide-Angle Invisibility with PT-Symmetric 2D-Weyl Semimetal
• PT-symmetric quantum systems with positive P
• Aberration-Free Imaging Based on Parity-Time Symmetric Nonlocal Metasurfaces
• Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders
• On Wigner Degeneracy in Elko theory: Hermiticity and Dark Matter
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• Symmetry properties of non-Hermitian PT-symmetric quantum field theories
• Quantum Mpemba effect in parity-time symmetric systems
• Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders
• Wireless energy transfer in non-Hermitian quantum battery
• High Power Backward Wave Oscillator using Folded Waveguide with Distributed Power Extraction Operating at an Exceptional Point
• Non-Floquet engineering in periodically driven non-Hermitian systems
• Perturbative approach for strong and weakly coupled time-dependent non-Hermitian quantum systems
• Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions
• Extreme Synchronization Transitions
• Anomalous Giant Superradiance in Molecular Aggregates Coupled to Polaritons
• Mixed states driven by Non-Hermitian Hamiltonians of a nuclear spin ensemble
• Controllable high-speed polariton waves in a PT-symmetric lattice
• Non-Markovian anti-parity-time symmetric systems: theory and experiment
• A Tractable Example of Perturbation Theory with a Field Cutoff: the Anharmonic Oscillator
• Origin of branch points in the spectrum of PT-symmetric periodic potentials
• $\mathcal{P}\mathcal{T}$-Symmetry in Hartree-Fock Theory
• Comparing Hermitian and Non-Hermitian Quantum Electrodynamics
• Exact Fisher zeros and thermofield dynamics across a quantum critical point
• Non-Hermitian semi-Dirac semi-metals
• Non-isospectrality of the generalized Swanson Hamiltonian and harmonic oscillator
• Control of Power in Parity-Time -Symmetric Lattices
• Systems that become $\mathcal{P}\mathcal{T}$ symmetric through interaction
• A spin chain with non-Hermitian $\mathcal{PT}-$symmetric boundary couplings: exact solution, dissipative Kondo effect, and phase transitions on the edge
• Finite-dimensional pseudo-bosons: a non-Hermitian version of the truncated harmonic oscillator
• Parity and Time Reversal Symmetry in Hanbury Brown-Twiss Effect
• Pseudo PT symmetric lattice
• Simple models of three coupled $\mathcal{P}\mathcal{T}$-symmetric wave guides allowing for third-order exceptional points
• Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
• The coupled-cluster approach to quantum many-body problem in a three-Hilbert-space reinterpretation
• Coherent single-spin electron resonance spectroscopy manifested at an exceptional-point singularity in a doped polyacetylene
• Geometric contribution to adiabatic amplification in non-Hermitian systems
• Non-Hermitian description of the dynamics of inter-chain pair tunnelling
• Quantum correlations in dissipative gain-loss systems across exceptional points
• Exceptional Points of Degeneracy with Indirect Bandgap Induced By Mixing Forward and Backward Propagating Waves
• PT-Symmetry Breaking Transitions in Polymeric Systems
• Non-Hermitian Model for Asymmetrical Tunneling
• Systematics of quasi-Hermitian representations of non-Hermitian quantum models
• Recursive Calculation of Effective Potential and Variational Resummation
• Ultrathin acoustic parity-time symmetric metasurface cloak
• Nonequilibrium steady states of Bose-Einstein condensates with a local particle loss in double potential barriers
• Paths of unitary access to exceptional points
• Parity-Time Synthetic Laser
• Eigenfrequency splitting with EPs order tunability in a coupled triple cavity system
• Exotic Topology in Ordinary Soft Matter
• Complete absorption of topologically protected waves
• Effects of Kerr medium in coupled cavities on quantum state transfer
• Perturbation Theory for Metastable States of the Dirac Equation with Quadratic Vector Interaction
• Real spectra in one-dimensional single-band non-Hermitian Hamiltonians
• Formations and dynamics of two-dimensional spinning asymmetric quantum droplets controlled by a PT-symmetric potential
• Non-Hermitian Quantum Quenches in Holography
• Discrete Symmetries and Generalized Fields of Dyons
• Electric conductivity in non-Hermitian holography
• $\mathcal{P}\mathcal{T}$ symmetry of a square-wave modulated two-level system
• Accelerating multipartite entanglement generation in non-Hermitian superconducting qubits
• Three types of discrete energy eigenvalues in complex PT-symmetric scattering potentials
• Integrability and PT-symmetry of $N$-Body Systems with Spin-coupling $\delta$-Interactions
• Squeezed atom laser for Bose-Einstein condensate with minimal length
• Double-Scaling Limit of a Broken Symmetry Quantum Field Theory
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions
• Wannier-Stark localization in one-dimensional amplitude-chirped lattices
• Green Functions for the Wrong-Sign Quartic
• Quasi-Hermitian formulation of quantum mechanics using two conjugate Schrödinger equations
• Experimental demonstration of the dynamics of quantum coherence evolving under a PT-symmetric Hamiltonian on an NMR quantum processor
• Scattering of the asymmetric ${\varphi }^6$ kinks from a $\mathcal{P}\mathcal{T}$-symmetric perturbation: Creation of multiple pairs of kink-antikink from phonons
• Controlled self-similar matter waves in PT-symmetric waveguide
• Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque
• A new non-Hermitian E2-quasi-exactly solvable model
• Quantum simulation of dissipation for Maxwell equations in dispersive media
• Internal nonlocality in generally dilated Hermiticity
• Parametric amplification of topological interface states in synthetic Andreev bands
• General PT-Symmetric Matrices
• Cryptohermitian Picture of Scattering Using Quasilocal Metric Operators
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems
• Unveiling Eigenstate Thermalization for Non-Hermitian systems
• Pseudomodes for non-self-adjoint Dirac operators
• Non-Hermiticity in quantum nonlinear optics through symplectic transformations
• Emergent $\mathcal{P}\mathcal{T}$-symmetry breaking of collective modes with topological critical phenomena
• From Veneziano to Riemann: A String Theory Statement of the Riemann Hypothesis
• A Novel phase in the phase structure of the $(g{\varphi }^4+h{\varphi }^6{)}_{1+1}$ field theoretic model
• Feasibility and method of multi-step Hermitization of crypto-Hermitian quantum Hamiltonians
• PT-symmetric gain and loss in a rotating Bose-Einstein condensate
• 2d QCD and Integrability, Part I: 't Hooft model
• A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons
• Universal hard-edge statistics of non-Hermitian random matrices
• Exceptional points and quantum phase transition in a fermionic extension of the Swanson oscillator
• Particle injection into a chain: decoherence versus relaxation for Hermitian and non-Hermitian dynamics
• Spontaneous non-Hermiticity in the (2+1)-dimensional Gross-Neveu model
• On some meaningful inner product for real Klein-Gordon fields with positive semi-definite norm
• Stability of Bose-Einstein condensates in a $\mathcal{P}\mathcal{T}$ symmetric double-$\delta$ potential close to branch points
• Effects of the third-order dispersion on continuous waves in complex potentials
• ${\varphi }^n$ trajectory bootstrap
• Amplitude control of a quantum state in a non-Hermitian Rice-Mele model driven by an external field
• Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices
• Lower bound of minimal time evolution in quantum mechanics
• Operator size growth in Lindbladian SYK
• Excitation Transmission through a non-Hermitian traversable wormhole
• Dynamics of Disordered Mechanical Systems with Large Connectivity, Free Probability Theory, and Quasi-Hermitian Random Matrices
• Emergence of Exceptional Points in Periodic Metastructures with Hidden PT-symmetric Defects
• Quantum toboggans: models exhibiting a multisheeted PT symmetry
• Generation of families of spectra in PT-symmetric quantum mechanics and scalar bosonic field theory
• Pseudo-conservative dynamics of coupled polariton condensates
• Equidistance of the Complex 2-Dim Anharmonic Oscillator Spectrum: Exact Solution
• PT Symmetry and QCD: Finite Temperature and Density
• Generating high-order exceptional points in coupled electronic oscillators using complex synthetic gauge fields
• Anomalous Hall effect from a non-Hermitian viewpoint
• Parity-time-symmetric coupled microring lasers operating around an exceptional point
• Non-hermitian model for resonant cavities coupled by a chiral mirror
• Unbalanced gain and loss in a quantum photonic system
• Eigenstates and instabilities of chains with embedded defects
• Equivalent Hamiltonian for Lee Model
• Level Crossings in a PT-symmetric Double Well
• Solitons in a Hamiltonian $PT$-symmetric coupler
• Scattering properties of a PT dipole
• Anyonic $\mathcal{P}\mathcal{T}$ symmetry, drifting potentials and non-Hermitian delocalization
• Solitons and nonlinear dynamics in dual-core optical fibers
• Regularization of Vertical-Cavity Surface-Emitting Lasers emission by periodic non-Hermitian potentials
• Aspects of the ODE/IM correspondence
• Entropy and entanglement in a bipartite quasi-Hermitian system and its Hermitian counterparts
• Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
• Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schroedinger equation
• Non-Hermiticity and conservation of orthogonal relation in dielectric microcavity
• Impact of non-Hermitian Mode interaction on Inter-cavity Light transfer
• Fragile aspects of topological transition in lossy and parity-time symmetric quantum walks
• Observation of non-Hermitian many-body skin effects in Hilbert space
• Dynamical evolution of an effective two-level system with PT symmetry
• Adiabatic-impulse approximation in non-Hermitian Landau-Zener Model
• Two- and four-dimensional representations of the PT- and CPT-symmetric fermionic algebras
• Which Metrics Are Consistent with a Given Pseudo-Hermitian Matrix?
• Theory Including Future Not Excluded -- Formulation of Complex Action Theory II --
• Universal spectral behavior of $x^2(ix{)}^{\epsilon }$ potentials
• Exact solutions for time-dependent complex symmetric potential well
• Fermion and meson mass generation in non-Hermitian Nambu--Jona-Lasinio models
• Defocusing nonlocal nonlinear Schrödinger equation with step-like boundary conditions: long-time behavior for shifted initial data
• An Algebraic PT-Symmetric Quantum Theory with a Maximal Mass
• Linear Response for pseudo-Hermitian Hamiltonian Systems: Application to PT-Symmetric Qubits
• Towards non-Hermitian quantum statistical thermodynamics
• Broken Hermiticity phase transition in Bose-Hubbard model
• Time invariant $\mathcal{P}\mathcal{T}$-product and phase locking in $\mathcal{P}\mathcal{T}$-symmetric lattice models
• Non-Hermitian fermions with effective mass
• On Supergroups with Odd Clifford Parameters and Supersymmetry with Modified Leibniz Rule
• Quantum mechanical settings inspired by RLC circuits
• $\mathcal{P}\mathcal{T}$-symmetric currents of a Bose-Einstein condensate in a triple well
• Two-way enhancement of sensitivity by tailoring higher-order exceptional points
• Coexistence of directed momentum current and ballistic energy diffusion in coupled non-Hermitian kicked rotors
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Controlling properties of a hybrid Cooper pair box interacting with a nanomechanical resonator in the presence of Kerr nonlinearities and losses
• Complex entanglement entropy for complex conformal field theory
• Non-Hermitian Quantum Fermi Accelerator
• Retardaion-induced exceptional point
• Emergent localized states at the interface of a twofold $\mathcal{P}\mathcal{T}$-symmetric lattice
• Dissipative two-dimensional Raman lattice
• Dirac equation with complex potentials
• Statistical properties of eigenvalues of an ensemble of pseudo-Hermitian Gaussian matrices
• Analogue Hawking radiation as a tunneling in a two-level $\mathcal{P}\mathcal{T}$-symmetric system
• Particles versus fields in PT-symmetrically deformed integrable systems
• Enhanced frequency and temperature estimation by a $\mathcal{P}\mathcal{T}$-symmetric quantum oscillator
• Level Crossings in Complex Two-Dimensional Potentials
• Exceptional points and quantum correlations in precise measurements
• Generalized Bogoliubov transformations versus $\mathcal{D}$% -pseudo-bosons
• Non-Hermitian Numerical Renormalization Group: Solution of the non-Hermitian Kondo model
• Pseudo-Hermitian continuous-time quantum walks
• Quantum Langevin theory for two coupled phase-conjugated electromagnetic waves
• Stabilization of self-steepening optical solitons in a periodic PT-symmetric potential
• Schrödinger operators with complex-valued potentials and no resonances
• Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
• Rigged Hilbert Space Approach for Non-Hermite Systems with Positive Definite Metric
• Reconfiguration of quantum states in $\mathcal{P}T$-symmetric quasi-one dimensional lattices
• Quantum-optical implementation of non-Hermitian potentials for asymmetric scattering
• Topological phase in Kitaev chain with spatially separated pairing processes
• $\mathcal{P}\mathcal{T}$-symmetric quantum Rabi model: Solutions and exceptional points
• Microwave Amplification in a PT -symmetric-like Cavity Magnomechanical System
• Two-level systems: exact solutions and underlying pseudo-supersymmetry
• Non-Bloch Theory for Spatiotemporal Photonic Crystals Assisted by Continuum Effective Medium
• PT Symmetry and Hermithean Hamiltonian in the Local Supercritical Pomeron Model
• Non-Hermitian Hamiltonian versus E=0 localized states
• An Algorithmic Test for Diagonalizability of Finite-Dimensional PT-Invariant Systems
• Eigenvalue problems for the complex PT-symmetric potential V(x)= igx
• Graphene Dirac fermions in symmetric electric and magnetic fields: the case of an electric square well
• Highly Amplified Light Transmission in Parity-Time Symmetric Multilayered Structure
• Supersymmetric Analysis of the Dirac-Weyl Operator within PT Symmetry
• Dilepton production from moaton quasiparticles
• Pseudo-Hermitian Levin-Wen models from non-semisimple TQFTs
• PT-symmetric dynamical confinement: Fermi acceleration, quantum force and Berry phase
• Spontaneous non-Hermiticity in the (2+1)-dimensional Thirring model
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation
• Born-Padé approach to electromagnetic scattering in complex one-dimensional inhomogeneous slabs
• Topological Classificaton of Non-Hermitian Gapless Phases: Exceptional Points and Bulk Fermi Arcs
• Non-Hermitian Generalization of Rayleigh-Schrödinger Perturbation Theory
• Interplay between nonclassicality and $\mathcal{P}\mathcal{T}$ symmetry in an effective two level system with open system effects
• Pseudo-hermitian random matrix theory: a review
• Guiding structures with multiply connected cross-sections: evolution of propagation in external fields at complex Robin parameters
• PT symmetric lattices with a local degree of freedom
• Comment on `Supersymmetry, PT-symmetry and spectral bifurcation'
• Reality and hermiticity from maximizing overlap in the future-included complex action theory
• On Integrability and Pseudo-Hermitian Systems with Spin-Coupling Point Interactions
• Loss compensation symmetry in dimers made of gain and lossy nanoparticles
• Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum
• Correlations at higher-order exceptional points in non-Hermitian models
• Single-Cavity Bi-Color Laser Enabled by Optical Anti-Parity-Time Symmetry
• An introductory review on resource theories of generalized nonclassical light
• Non-hermitian time evolution: from static to parametric instability
• Non-Hermitian quantum walks and non-Markovianity: the coin-position interaction
• Universal Large-order asymptotic behavior of the Strong-coupling and High-Temperature series expansions
• Exceptional points and pseudo-Hermiticity in real potential scattering
• Non-Hermiticity: a new paradigm for model building in particle physics
• Non-Hermitian $C_{NH}=2$ Chern insulator protected by generalized rotational symmetry
• Universal scaling at a pre-thermal dark state
• New families of non-parity-time-symmetric complex potentials with all-real spectra
• Hilbert space partitioning for non-Hermitian Hamiltonians: From off-resonance to Zeno subspaces
• Warped Kaluza-Klein Towers Revisited
• Linear level repulsions near exceptional points of non-Hermitian systems
• Jordan blocks and the Bethe ansatz II: The eclectic spin chain beyond $K=1$
• Integral Transforms and $\mathcal{P}\mathcal{T}$-symmetric Hamiltonians
• Propagation of Partially Coherent Light in non-Hermitian Lattices
• Gain-compensated cavities for the dynamic control of light-matter interactions
• Wilsonian approach to the interaction ${\varphi }^2(i\varphi {)}^{\epsilon }$
• On the effects of suitably designed space microstructures in the propagation of waves in time modulated composites
• Non self-adjoint operators with real spectra and extensions of quantum mechanics
• Graph theory approach to exceptional points in wave scattering
• Analytic eigenvalue structure of a coupled oscillator system beyond the ground state
• Nonadiabatic transitions in non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric two-level systems
• Quantum dynamics of PT-symmetrically kicked particle confined in a 1D box
• Operator correlations in a quenched non-Hermitian Luttinger liquid
• Non-stationary non-Hermitian "wrong-sign'' quantum oscillators and their meaningful physical interpretation
• Classical analogs of generalized purities, entropies, and logarithmic negativity
• Hermitian--to--quasi-Hermitian quantum phase transitions
• Unusual isospectral factorizations of shape invariant Hamiltonians with Scarf II potential
• Loss revives bistable state near the exceptional point in a non-Hermitian microwave photonic meta-molecule
• Harmonic oscillators from displacement operators and thermodynamics
• Symmetry breaking bifurcations and excitations of solitons in linearly coupled NLS equations with PT-symmetric potentials
• Physics of crypto-Hermitian and/or cryptosupersymmetric field theories
• Scattering Theory and $\mathcal{P}\mathcal{T}$-Symmetry
• Hermitian - non-Hermitian interfaces in quantum theory
• Dynamics of non-Hermitian Floquet Wannier-Stark system
• The Effect of non-Hermiticity on Adiabatic Elimination
• Exponential quantum advantages for practical non-Hermitian eigenproblems
• Essential implications of similarities in non-Hermitian systems
• Three perspectives on entropy dynamics in a non-Hermitian two-state system
• Extended unitarity and absence of skin effect in periodically driven systems
• Locality, Correlations, Information, and non-Hermitian Quantum Systems
• Effects of disorder on non-unitary $\mathcal{P}\mathcal{T}$ symmetric quantum walks
• Unitarity through PT symmetry in Quantum Quadratic Gravity
• Symmetry-driven Phononic Metamaterials
• Global solution of the cubic oscillator
• A PT-symmetric dual-core system with the sine-Gordon nonlinearity and derivative coupling
• Quantization of Big Bang in crypto-Hermitian Heisenberg picture
• Passive $\mathcal{P}\mathcal{T}$-symmetric couplers without complex optical potentials
• Demonstration of a Tunable Non-Hermitian Nonlinear Microwave Dimer
• Enhanced quantum sensing in time-modulated non-Hermitian systems
• Heisenberg and Heisenberg-Like Representations via Hilbert Space Bundle Geometry in the Non-Hermitian Regime
• Small-amplitude nonlinear modes under the combined effect of the parabolic potential, nonlocality and $\mathcal{P}\mathcal{T}$ symmetry
• Invariant PDEs of Conformal Galilei Algebra as deformations: cryptohermiticity and contractions
• Quantum knots
• Instantaneous modulations in time-varying complex optical potentials
• PT symmetry and large-N models
• A controllable anti-P-pseudo-Hermitian mechanical system and its application
• Quantum-Ordering Ambiguities in Weak Chern-Simons 4D Gravity and Metastability of the Condensate-Induced Inflation
• Liénard Type Nonlinear Oscillators and Quantum Solvability
• Unconventional quantum criticality in a non-Hermitian extended Kitaev chain
• Spin-dependent gain and loss in photonic quantum spin Hall systems
• Integrability and trajectory confinement in $\mathcal{P}\mathcal{T}$-symmetric waveguide arrays
• Phase transitions as a manifestation of spontaneous unitarity violation
• PT-Symmetric potential impact on the scattering of a Bose-Einstein condensate from a Gaussian Obstacle
• Fractionality and $\mathcal{P}\mathcal{T}$- symmetry in a square lattice
• Bose-Einstein condensation processes with nontrivial geometric multiplicites realized via $\mathcal{P}\mathcal{T}-$symmetric and exactly solvable linear-Bose-Hubbard building blocks
• Non-local PT-symmetric potentials in the one-dimensional Dirac equation
• Parity-Time Symmetry and Exceptional points: A Tutorial
• Origin of robust exceptional points: a restricted bulk zero mode
• Balanced gain and loss in spatially extended non-$\mathcal{P}\mathcal{T}$-symmetric multi-well potentials
• Supersymmetric approach to exact solutions of $(1+1)$-dimensional time-independent Klein-Gordon equation : Application to a position-dependent mass and a $\mathcal{P}\mathcal{T}$-symmetric vector potential
• New Ansatz for Metric Operator Calculation in Pseudo-Hermitian Field Theory
• Scattering in pseudo-Hermitian quantum field theory and causality violation
• AdS/CFT Duality for Non-Anticommutative Supersymmetric Gauge Theory
• Sums over geometries and improvements on the mean field approximation
• Time reversal of a discrete system coupled to a continuum based on non-Hermitian flip
• $\eta$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians
• Temperature-reflection I: field theory, ensembles, and interactions
• Gibbs states defined by biorthogonal sequences
• Metric-scalar gravity with torsion and the measurability of the non-minimal coupling
• Topological dynamics in an optomechanical system with highly non-degenerate modes
• Dynamics of mode entanglement in a system of cavities coupled with a chiral mirror
• The Minimal Modal Interpretation of Quantum Theory
• PT-symmetric model with an interplay between kinematical and dynamical non-localities
• Topological field theory of dynamical systems
• Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials
• Supersymmetric Extension of Non-Hermitian su(2) Hamiltonian and Supercoherent States
• PT invariant complex E(8) root spaces
• On J-Self-Adjoint Operators with Stable C-Symmetry
• An ansatz for the eigenstates in PT-symmetric quantum mechanics
• Schrödinger type eigenvalue problems with polynomial potentials: Asymptotics of eigenvalues
• Emergence of exceptional points and their spectroscopic signature in Dirac semimetal-dirty Superconductor heterojunction
• Complex Langevin Dynamics and Supersymmetric Quantum Mechanics
• Implications of exceptional points for few-photon transport in waveguide quantum electrodynamics
• Lewis-Riesenfeld invariants for PT-symmetrically coupled oscillators from two dimensional point transformations and Lie algebraic expansions
• Electrical tunability due to coalescence of exceptional points in parity-time symmetric waveguides
• Fractal thermodynamics and ninionic statistics of coherent rotational states: realization via imaginary angular rotation in imaginary time formalism
• Three-Dimensional Solutions of Supersymmetrical Intertwining Relations and Pairs of Isospectral Hamiltonians
• Dirac Hamiltonian with Imaginary Mass and Induced Helicity-Dependence by Indefinite Metric
• Heat transport through an open coupled scalar field theory hosting stability-to-instability transition
• Controllable non-Hermitian qubit-qubit Coupling in Superconducting quantum Circuit
• Topological Operations Around Exceptional Points via Shortcuts to Adiabaticity
• Recognizing critical lines via entanglement in non-Hermitian systems
• Double-sided unidirectional reflectivity
• Entanglement Efficiencies in PT-Symmetric Quantum Mechanics
• Nonlinear skin breathing modes in one-dimensional nonreciprocal mechanical lattices
• Long time asymptotic behavior for the nonlocal mKdV equation in space-time solitonic regions-II
• A generalized Swanson Hamiltonian in a second-derivative pseudo-supersymmetric framework
• Non-Hermitian theory of valley excitons in two-dimensional semiconductors
• Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulthén Potential
• PT-symmetry breaking and maximal chirality in a nonuniform PT-symmetric ring
• Frozen Mode Regime in an Optical Waveguide With Distributed Bragg Reflector
• One-transmitter Multiple-receiver Wireless Power Transfer System Using an Exceptional Point of Degeneracy
• New solutions to the $s{\ell }_q(2)$-invariant Yang-Baxter equations at roots of unity
• Ring-Frustrated Non-Hermitian $XY$ Model
• Excitation-Transfer Plasmonic Nanosensors based on Dynamical Phase Transitions
• Three-dimensional-subwavelength field localization, time reversal of sources, and infinite-asymptotic degeneracy in spherical structures
• On the Spectrum of a Discrete Non-Hermitian Quantum System
• Non-Local Elastic Lattices with $\mathcal{P}\mathcal{T}$-Symmetry and Time Modulation: From Perfect Trapping to the Wave Boomerang Effect
• Calculation of low-lying energy levels in quantum mechanics
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• PT Symmetry and the Sign Problem
• Generalized Riesz systems and orthonormal sequences in Krein spaces
• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Scattering off PT-symmetric upside-down potentials
• Fock Space Representations for Non-Hermitian Hamiltonians
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Manifestation of Superposition and Coherence in $\mathcal{P}\mathcal{T}$-symmetry through the $\eta$-inner Product
• CPT-conserved effective mass Hamiltonians through first and higher order charge operator C in a supersymmetric framework
• $\mathcal{P}\mathcal{T}$-symmetric photonic lattices with type-II Dirac cones
• A 'Dysonization' Scheme for Identifying Particles and Quasi-Particles Using Non-Hermitian Quantum Mechanics
• PT-symmetry in quasi-integrable models
• Quantum thermodynamics aspects with a thermal reservoir based on $\mathcal{P}\mathcal{T}$-symmetric Hamiltonians
• Solitonic fixed point attractors in the complex Ginzburg-Landau equation for associative memories
• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
• Multicomplex solitons
• Wheeler-DeWitt equation and the late gravitational collapse: effects of factor ordering and the tunneling scenario
• Analytical Study of the Non-Hermitian Semiclassical Rabi Model
• Pseudo-Hermitian extensions of the harmonic and isotonic oscillators
• Non-Hermitian CP-Symmetric Dirac Hamiltonians with Real Energy Eigenvalues
• Mass deformed ABJM and $\mathcal{P}\mathcal{T}$ symmetry
• Third Order Modal Exceptional Degeneracy in Waveguides with Glide-Time Symmetry
• Infinite-dimensional representations of the rotation group and Dirac's monopole problem
• Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry
• The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries
• Low coherence-induced resonance in double-layer structures having parity-time symmetry
• Cumulants of time-integrated observables of closed quantum systems and PT-symmetry, with an application to the quantum Ising chain
• Discrete spectrum of thin PT-symmetric waveguide
• Optical solitons in periodically managed PT-symmetric media
• Demonstration of a two-dimensional PT-symmetric crystal: Bulk dynamics, topology, and edge states
• Vacuum Rabi Splitting and Quantum Fisher Information of a Non-Hermitian Qubit in a Single-Mode Cavity
• The Generalized PT-Symmetric Sinh-Gordon Potential Solvable within Quantum Hamilton-Jacobi Formalism
• Stability boundaries of a Mathieu equation having PT symmetry
• Spectral singularity enhances transverse spin
• Pseudo Hermitian interactions in the Dirac Equation
• Entanglement entropy distinguishes PT-symmetry and topological phases in a class of non-unitary quantum walks
• Imaginary spin-orbital coupling in parity-time symmetric systems with momentum-dependent gain and loss
• Conformal bridge in a cosmic string background
• Scattering of Spin-$\frac{1}{2}$ Particles from a $\mathcal{P}\mathcal{T}$-symmetric Complex Potential
• An attractor dynamics in a non-Hermitian two-level system
• Radiation families emitted by a discrete soliton in parity-time-symmetric waveguide arrays
• Discriminant indicator with generalized rotational symmetry
• Two-State Quantum Systems Revisited: a Geometric Algebra Approach
• Numerical study of the transverse localization of waves in one-dimensional lattices with randomly distributed gain and loss: Effect of disorder correlations
• Modes and exceptional points in waveguides with impedance boundary conditions
• On-chip optical isolator and nonreciprocal parity-time symmetry induced by stimulated Brillouin scattering
• Counterdiabatic driving for pseudo- and antipseudo- Hermitian systems
• Tunable tachyon mass in the PT-broken massive Thirring model
• Superoscillatory PT-symmetric potentials
• Conformal anomaly in non-hermitian quantum mechanics
• PT symmetry as a necessary and sufficient condition for unitary time evolution
• Pseudo-symmetric random matrices: semi-Poisson and sub-Wigner statistics
• Classical-quantum correspondence for two-level pseudo-Hermitian systems
• Correlated Nonreciprocity around Conjugate Exceptional Points
• Spontaneous symmetry breaking in non-steady modes of open quantum many-body systems
• Crypto-Harmonic Oscillator in Higher Dimensions: Classical and Quantum Aspects
• How do CPT-like symmetries shape the stability of geophysical flows?
• Topology and its detection in a dissipative Aharonov-Bohm chain
• Galilei invariant theories. II. Wave equations for massive fields
• Elko and Mass Dimension One Fermions: Editorial
• Crypto-Hermitian Approach to the Klein-Gordon Equation
• Entanglement between uncoupled modes with time-dependent complex frequencies
• Fractionality and PT-symmetry in an electrical transmission line
• A new method for driven-dissipative problems: Keldysh-Heisenberg equations
• A Bound on the Pseudospectrum of the Harmonic Oscillator with Imaginary Cubic Potential
• Resonant scattering of two-dimensional honeycomb PT dipole structure
• Kosterlitz-Thouless phase and $Z_d$ topological quantum phase
• Artificial Hawking radiation, weak pseudo-Hermiticity and Weyl semimetal blackhole analogy
• Some spectral equivalences between Schrodinger operators
• Neutrino mass observables and non-Hermitian version of Type-I seesaw model
• Robustness of entanglement in a non-Hermitian cavity-optomechanical system even away from exceptional points
• Nonparaxial electromagnetic Bragg scattering in periodic media with PT symmetry
• $\mathcal{P}\mathcal{T}$-Symmetry breaking in quantum spin chains with exceptional non-Hermiticities
• Fixed points on band structures of non-Hermitian models: Extended states in the bandgap and ideal superluminal tunneling
• Manipulating Quantum Spins by a Spin-Polarized Current: An Approach Based Upon PT-Symmetric Quantum Mechanics
• Treating Ostrogradski instability for Gallilean invariant Chern Simon's model via \mathcal{PT} symmetry
• Analytic approximation for eigenvalues of a class of $\mathcal{P}\mathcal{T}$ symmetric Hamiltonians
• Spherical-separablility of non-Hermitian Hamiltonians and pseudo-PT-symmetry
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Spherical-separablility of non-Hermitian Dirac Hamiltonians and pseudo-PT-symmetry
• Comment on ``New ansatz for metric operator calculation in pseudo-Hermitian field theory''
• Order-invariant two-photon quantum correlations in PT-symmetric interferometers
• Stability of time-periodic $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonians with different periodicities
• Robust PT symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity
• Oblique scattering from non-Hermitian optical waveguides
• Heisenberg dynamics for non self-adjoint Hamiltonians: symmetries and derivations
• Unidirectional segregation of Bright-Bright soliton through a $\mathcal{P}\mathcal{T}$-symmetric potential
• Non-Hermitian Photonics based on Charge-Parity Symmetry
• Representation Dependence of Superficial Degree of Divergences in Quantum Field Theory
• $\mathcal{P}\mathcal{T}$-symmetry phase transition in a Bose-Hubbard model with localized gain and loss
• Supersymmetry of $\mathcal{P}\mathcal{T}$- symmetric tridiagonal Hamiltonians
• Simultaneous Ordinary and Type A N-fold Supersymmetries in Schroedinger, Pauli, and Dirac Equations
• Lefschetz Thimbles and Quantum Phases in Zero-Dimensional Bosonic Models
• Exceptional Points in Gyrator-Based Circuit and Nonlinear High-Sensitivity Oscillator
• Supersymmetric solutions of PT-/non-PT-symmetric and non-Hermitian Screened Coulomb potential via Hamiltonian hierarchy inspired variational method
• Transfer operators and topological field theory
• Recent advances in the combination of nonlinearity and exceptional points
• Local preservation of no-signaling in multiparty PT-symmetric evolutions
• Quantum phases transition revealed by the exceptional point in Hopfield-Bogoliubov matrix
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• CPT-symmetric discrete square well
• Exceptional deficiency of non-Hermitian systems
• PT-symmetric transport in non-PT-symmetric bi-layer optical arrays
• Vector Models in PT Quantum Mechanics
• Hidden Gauge Symmetry in Holomorphic Models
• Soft quantum vibrations of PT-symmetric nonlinear ion chain
• Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space
• The stabilizer group of honeycomb lattices and its application to deformed monolayers
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• A pseudoclassical theory for the wavepacket dynamics of the kicked rotor model
• Quantized Area of the Schwarzschild Black Hole: A non-Hermitian Perspective
• Fragmented exceptional points and their bulk and edge realizations in lattice models
• Asymmetric optical amplifier based on parity-time symmetry
• Isomorphic Hilbert spaces associated with different Complex Contours of the $\mathcal{P}\mathcal{T}$-Symmetric $(-x^4)$ Theory
• Nonlinear behaviors of parity-time-symmetric lasers
• Topological Dynamics and Correspondences in Composite Exceptional Rings
• Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation
• Classical Trajectories of the Continuum States of the $\mathcal{P}\mathcal{T}$ symmetric Scarf II potential
• Double complex SUSY-transformations: deformations of real potentials and their spectral characteristics
• Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
• Strong coupling diagnostics for multi-mode open systems
• Topological parafermion corner states in clock-symmetric non-Hermitian second-order topological insulator
• Enhanced response at exceptional points in multi-qubit systems for sensing
• Non-linear Schr$\ddot{o}$dinger equation with time-dependent balanced loss-gain and space-time modulated non-linear interaction
• Coupling renormalization flow in the strongly interacting regime of an asymptotically free quantum field theory in four dimensions
• Factorized Hilbert-space metrics and non-commutative quasi-Hermitian observables
• Quantumness and its hierarchies in PT-symmetric down-conversion models
• Gain engineering and atom lasing in a topological edge state in synthetic dimensions
• Removal of instabilities of the higher derivative theories in the light of antilinearity
• Extended Wannier-Stark ladder and particle-pair Bloch oscillations in dimerized non-Hermitian systems
• Pseudo-Hermitian and PT -symmetric quantum systems with energy-dependent potentials: Bound-state solutions and energy spectra
• Transport and integrability-breaking in non-Hermitian many-body quantum systems
• PT-Symmetric Quantum Field Theory
• Complex WKB Analysis of a PT Symmetric Eigenvalue Problem
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Disorder effects in tunable waveguide arrays with parity-symmetric tunneling
• Adjusting exceptional points using saturable nonlinearities
• A real expectation value of the time-dependent non-Hermitian Hamiltonians
• Chiral-reversing vortex radiation from a single emitter by eigenstates phase locking
• Quantum control and the challenge of non-Hermitian model-building
• Conserved quantities in non-Hermitian systems via vectorization method
• Yang-Baxter Integrable Dimers on a Strip
• A New Boson realization of Fusion Polynomial Algebras in Non-Hermitian Quantum Mechanics : $\gamma$-deformed $su(2)$ generators, Partial $\mathcal{P}\mathcal{T}$-symmetry and Higgs algebra
• Polarization dynamics of trapped polariton condensates with $\mathcal{P}\mathcal{T}$-symmetry
• Metric Operator For The Non-Hermitian Hamiltonian Model and Pseudo-Supersymmetry
• Gap solitons and symmetry breaking in parity-time symmetric microring CROWs
• Quantization of Second Order Fermions
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models
• PT-symmetric eigenvalues for homogeneous potentials
• Bound states of PT-symmetric separable potentials
• Gaussian-random Ensembles of Pseudo-Hermitian Matrices
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Schrieffer-Wolff transformation for non-Hermitian systems: application for $\mathcal{P}\mathcal{T}$-symmetric circuit QED
• Jordan blocks and the Bethe ansatz III: Class 5 model and its symmetries
• Exceptional points in perturbed dielectric spheres: A resonant-state expansion study
• Making the PT symmetry unbreakable
• Non-Hermitian physics and engineering in silicon photonics
• Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with anti-$\mathcal{P}\mathcal{T}$ symmetry
• Pseudo-Hermitian systems with PT-symmetry: Degeneracy and Krein space
• Instabilities, nonhermiticity and exceptional points in the cranking model
• Singular spinors as expansion coefficients of local spin-half fermionic and bosonic fields: On the two-fold Wigner degeneracy
• Electromagnetic Eigenvalue Problems and Nonhermitian Effects in Linear and Saturable Scattering
• Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
• Raising the $\mathcal{P}\mathcal{T}$ transition threshold by strong coupling to neutral chains
• Comparison of Thermodynamic Characteristics in Ordinary Quantum and Classical Approaches and Game Theory
• Non-Hermitian coherent states for finite-dimensional systems
• Bender-Wu singularities
• Non-Hermitian tearing by dissipation
• Chiral state conversion in a levitated micromechanical oscillator with in situ control of parameter loops
• Dynamic transition of the density-matrix topology under parity-time symmetry
• Inverse scattering transform and multiple high-order pole solutions for the nonlocal focusing and defocusing modified Korteweg-de Vries equation with the nonzero boundary conditions
• Manipulating spectral transitions and photonic transmission in a non-Hermitian optical system through nanoparticle perturbations
• Fall-to-the-centre as a $\mathcal{P}\mathcal{T}$ symmetry breaking transition
• Simulation of exceptional-point systems on quantum computers for quantum sensing
• Real eigenvalues of a non-self-adjoint perturbation of the self-adjoint Zakharov-Shabat operator
• Coupled Susy, pseudo-bosons and a deformed $\mathfrak{su}(1,1)$ Lie algebra
• Geometry of PT-symmetric quantum mechanics
• Non-hermiticity in a kicked model: Decoherence and the semiclassical limit
• Surprising spectra of PT-symmetric point interactions
• Nonlinear Schrödinger equations with amplitude-dependent Wadati potentials
• Thermalization of isolated Bose-Einstein condensate under a PT-symmetric environment
• Reciprocity in parity violating non-Hermitian systems
• Intrinsic exceptional point -- a challenge in quantum theory
• Parallel dynamics between non-Hermitian and Hermitian systems
• Zig-zag-matrix algebras and solvable quasi-Hermitian quantum models
• Faster than Hermitian Time Evolution
• How to (Un-) Quantum Mechanics
• Interplay of fractionality and $\mathcal{P}\mathcal{T}$- symmetry on a 1D lattice
• Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model
• Generalized Aubry-André-Harper model with power-law quasiperiodic potentials
• Understanding Partial PT symmetry as weighted composition conjugation in Reproducing Kernel Hilbert Space :An application to non-hermitian Bose-Hubbard type Hamiltonian in Fock space
• Linked $\mathcal{P}\mathcal{T}$-symmetry to Supersymmetry in a class of non-Hermitian Hamiltonians
• Tunable Dirac points and zero-energy modes in periodic curved graphene superlattices
• Exact Christoffel-Darboux Expansions: A New, Multidimensional, Algebraic, Eigenenergy Bounding Method
• Quantum Measurement Encoding for Quantum Metrology
• Topologically protected two-fluid edge states
• Lüders bounds of Leggett-Garg inequalities, $\mathcal{P}\mathcal{T}$- symmetric evolution and arrow-of-time
• Fundamental issues with light propagation through $\mathcal{P}\mathcal{T}$-symmetric systems
• On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system
• Thermodynamic properties of non-Hermitian Nambu--Jona-Lasinio models
• Negative Gilbert damping in cavity optomagnonics
• Invariant Eigen-Structure in Complex-Valued Quantum Mechanics
• Observation of Perfect Absorption in Hyperfine Levels of Molecular Spins with Hermitian Subspaces
• Remarks on the preservation of no-signaling principle in parity-time-symmetric quantum mechanics
• Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. II. Three-Dimensional Model
• Ghosts in higher derivative Maxwell-Chern-Simon's theory and $\mathcal{P}\mathcal{T}-$symmetry
• $T\bar{T}$ deformation on non-Hermitian two coupled SYK model
• Kaluza-Klein towers in warped spaces with metric singularities
• PT-/non-PT-Symmetric and non-Hermitian Hellmann Potential: Approximate Bound and Scattering States with Any $\ell$-Values
• Reality from maximizing overlap in the periodic complex action theory
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• A Passive $\mathcal{P}\mathcal{T}$-Symmetric Floquet-Coupler
• Phase transitions and thermodynamic cycles in the broken PT-regime
• Contact interactions and Kronig-Penney Models in Hermitian and PT-symmetric Quantum Mechanics
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• Demonstration of imaginary-mass particles by optical simulation in non-Hermitian systems
• Extracting the internal nonlocality from the dilated Hermiticity
• Additional restrictions on quasi-exactly solvable systems
• Dynamical symmetry algebra of two superintegrable two-dimensional systems
• Non-Hermitian Parent Hamiltonian from Generalized Quantum Covariance Matrix
• Topological and fractal defect states in non-Hermitian lattices
• Experimentally Probing Non-Hermitian Spectral Transition and Eigenstate Skewness
• Gaussian-process-regression-based method for the localization of exceptional points in complex resonance spectra
• Effective size of a parity-time symmetric dimer
• Dirichlet spectrum of the paradigm model of complex PT-symmetric potential: $V(x)=-(ix{)}^N$
• Anomalous dimensions from conformal field theory: Generalized ${\varphi }^{2n+1}$ theories
• Exceptional points in SSH-like models with hopping amplitude gradient
• A systematic construction of parity-time ($\mathcal{P}\mathcal{T}$)-symmetric and non-$\mathcal{P}\mathcal{T}$-symmetric complex potentials from the solutions of various real nonlinear evolution equations
• Interference of non-Hermiticity with Hermiticity at exceptional points
• Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
• Ad hoc physical Hilbert spaces in Quantum Mechanics
• Two dimensional non-Hermitian harmonic oscillator: coherent states
• Atom-driven multistability in an optomechanical cavity under broken PT-symmetry
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Quantum counterpart of spontaneously broken classical PT symmetry
• Fermionic duality: General symmetry of open systems with strong dissipation and memory
• Vacuum Stability of the $\mathcal{P}\mathcal{T}$-Symmetric $\left(-{\varphi }^4\right)$ Scalar Field Theory
• Asymptotic Exceptional Steady States in Dissipative Dynamics
• Dissipation-driven topological phase transitions in open quantum systems independent of system Hamiltonian
• Few-grid-point simulations of Big Bang singularity in quantum cosmology
• A symmetry perspective of the Riemann zeros
• Wave Topology in Hall MHD
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• Eigenvalues of non-hermitian matrices: a dynamical and an iterative approach. Application to a truncated Swanson model
• Multitype entanglement dynamics induced by exceptional points
• Sublattice signatures of transitions in a $\mathcal{P}\mathcal{T}$-symmetric dimer lattice
• Statistical properties of London modified coherent states
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Short-time behavior of a system ruled by non-Hermitian time-dependent Hamiltonians
• Quantum Instability
• Closed timelike curves in PT-symmetric wormholes
• Laser induced $\mathcal{P}\mathcal{T}$-symmetry breaking in the fluctuations of electronic fluids
• Dual opposing quadrature-PT symmetry
• Uncovering Exceptional Contours in non-Hermitian Hyperbolic Matter
• Complex energy structures of exceptional point pairs in two level systems
• Features, paradoxes and amendments of perturbative non-Hermitian quantum mechanics
• Real discrete spectrum of complex PT-symmetric scattering potentials
• Monopoles in non-Hermitian systems
• Eigenvalues collision for PT-symmetric waveguide
• Moduli spaces for PT-regularized solitons
• Exact solution for the time dependent non-Hermitian generalized Swanson oscillator
• Planck's Constant as a Dynamical Field & Path Integral
• Topological Phases in a PT-Symmetric Dissipative Kitaev Chain
• Bifurcation of nonlinear eigenvalues in problems with antilinear symmetry
• Characterizing the Yang-Lee zeros of the classical Ising model through dynamic quantum phase transitions
• Improved coherence time of a non-Hermitian qubit in a $\mathcal{P}\mathcal{T}$-symmetric Environment
• PT-symmetric and antisymmetric nonlinear states in a split potential box
• Long-time asymptotic behavior of the nonlocal nonlinear Schrödinger equation with initial potential in weighted sobolev space
• Non-adiabatic transitions in parabolic and super-parabolic $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian systems
• Witnessing criticality in non-Hermitian systems via entropic uncertainty relation
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Spectral singularity in composite systems and simulation of a resonant lasing cavity
• EP restoration and fast-light edge states in photonic crystal waveguide with glide and time reversal symmetry
• Lax-Phillips scattering theory for PT-symmetric ρ-perturbed operators
• Quantum phase transitions mediated by clustered non-Hermitian degeneracies
• Quantum implementation of non-unitary operations with biorthogonal representations
• Walking behavior induced by $\mathcal{P}\mathcal{T}$ symmetry breaking in a non-Hermitian $\mathrm{XY}$ model with clock anisotropy
• Building ground states of Hubbard model by time-ordered bound-pair injection
• Transport characteristics of a $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian system: Effect of environmental interaction
• Purity oscillations in coupled Bose-Einstein condensates
• Enhanced quantum phase estimation with $q$-deformed nonideal nonclassical light
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• Hopf-Induced Desynchronization
• Exceptional point rings and $PT$-symmetry in the non-Hermitian XY model
• Oscillators with imaginary coupling: spectral functions in quantum mechanics and quantum field theory
• Topological Amplification of the Bosonic Kitaev Chain with Non-Uniform Loss
• Thermodynamics of analogue black holes in a non-Hermitian tight-binding model
• Exact solution of Schrödinger equation for the complex Morse potential to investigate physical systems with position-dependent complex mass
• Noise-Canceling Quantum Feedback: non-Hermitian Dynamics with Applications to State Preparation and Magic State Distillation
• Construction of maximally non-Hermitian potentials under unbroken PT-symmetry constraint
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory
• $\mathcal{P}\mathcal{T}$-symmetric two-photon quantum Rabi models
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Loss-driven gain enhancements driven by topological singularities in non-Hermitian photonic crystals defects
• Entanglement manifestation of knot topology in a non-Hermitian lattice
• Photonic Crystals Engineering For Light Manipulation: Low Symmetry, Graded Index and Parity Time Symmetry
• Soliton dynamics and stability in the ABS spinor model with a PT-symmetric periodic potential
• Universal quantum control over non-Hermitian continuous-variable systems
• Exceptional points in open and PT symmetric systems
• Recent progress on disorder-induced topological phases
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Quantum jumps in open cavity optomechanics and Liouvillian versus Hamiltonian exceptional points
• Phase transitions in quasi-Hermitian quantum models at exceptional points of order four
• Exceptional Point Superradiant Lasing with Ultranarrow Linewidth
• Quantum-to-semiclassical Husimi dynamics of non-Hermitian localization transitions
• Can parity-time-symmetric potentials support continuous families of non-parity-time-symmetric solitons?
• Minimal Proper-time in Quantum Field Theory
• Computation and Verification of Spectra for Non-Hermitian Systems
• Entanglement generation across exceptional points in two-qubit open quantum system -- the role of initial states
• Exploring Metamaterial Lasers through Non-Hermitian Scattering Formalism
• Resonances and continued-fraction Green's functions in non-Hermitian Bose-Hubbard-like quantum models
• Complex extension of Wigner's theorem
• Enhancement of sensitivity near exceptional points in dissipative qubit-resonator systems
• Momentum relation and classical limit in the future-not-included complex action theory
• Power-law scaling of asymmetries in viscous flow with PT-symmetric inflow and outflow
• Scaling of pseudospectra in exponentially sensitive lattices
• Bosonic Holes in Quadratic Bosonic Systems
• Semiclassical analysis of spin dynamics in the non-Hermitian Hubbard model
• A(2|1) spectral equivalences and nonlocal integrals of motion
• Stronger sum uncertainty relations for non-Hermitian operators
• Continuous time crystals as a PT symmetric state and the emergence of critical exceptional points
• "Striped" Rectangular Rigid Box with Hermitian and non-Hermitian $\mathcal{P}\mathcal{T}$ Symmetric Potentials
• Propagation of light through amplifying honeycomb photonic lattice
• Three alternative model-building strategies using quasi-Hermitian time-dependent observables
• Comment on: `Numerical estimates of the spectrum for anharmonic PT symmetric potentials' [Phys. Scr. \textbf{85} (2012) 065005]
• Beam Dynamics in a Double-Channel Waveguide with Gain and Loss
• Robust preparation of ground state phases under noisy imaginary time evolution
• Comment on 'The operational foundations of PT-symmetric and quasi-Hermitian quantum theory'
• Solitons and their ghosts in PT-symmetric systems with defocusing nonlinearities
• Tunable Localisation in Parity-Time-Symmetric Resonator Arrays with Imaginary Gauge Potentials
• Topology and $\mathcal{P}\mathcal{T}$ Symmetry in a Non-Hermitian Su-Schrieffer-Heeger Chain with Periodic Hopping Modulation
• Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: I. Inherited and genuine singularities
• Field extension of real values of physical observables in classical theory can help attain quantum results
• Decomposition of a system in pseudo-Hermitian quantum mechanics
• Consistent treatment of quantum systems with a time-dependent Hilbert space
• Two-step Shape Invariance in the Framework of N-fold Supersymmetry
• Third-order exceptional surface in a pseudo-Hermitian superconducting circuit
• Pseudo-PT symmetric Dirac equation : effect of a new mean spin angular momentum operator on Gilbert damping
• Beyond the Petermann limit: can exceptional points increase sensor precision?
• Reality from maximizing overlap in the future-included real action theory
• Spectral zeta functions of a 1D Schrödinger problem
• Non-Hermitian gravitational effects on Bose-Einstein condensate
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• PT-symmetry enabled stable modes in multi-core fiber
• Up-And-Coming Physical Concepts of Wireless Power Transfer
• Evanescent Wave Approximation for Non-Hermitian Hamiltonians
• Using mixed many-body particle states to generate exact $\mathcal{P}\mathcal{T}$-symmetry in a time-dependent four-well system
• Some Remarks on Quantum Brachistochrone
• An exact solution to dispersion of a passive scalar by a periodic shear flow
• Exceptional Points of Degeneracy and Branch Points for Transmission-Line Problems - Linear Algebra and Bifurcation Theory Perspectives
• Construction of potentials with multiple spectral singularities
• Insight of the Green's function as a defect state in a boundary value problem
• Fixed lines in a non-Hermitian Kitaev chain with spatially balanced pairing processes
• Two-dimensional Systems that Arise from the Noether Classification of Lagrangians on the Line
• Anti-$\mathcal{P}\mathcal{T}$-symmetric Qubit: Decoherence and Entanglement Entropy
• Real and imaginary edge states in stacked Floquet honeycomb lattices
• Necessary condition for information transfer under simulated parity-time-symmetric evolution
• Complementarity versus coordinate transformations: mapping between pseudo-Hermiticity and weak pseudo-Hermiticity
• Enhanced sensing of non-Newtonian effects at ultrashort range with exceptional points in optomechanical systems
• Scattering Dynamics and Boundary States of a Non-Hermitian Dirac Equation
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• On the analytical continuation of lattice Liouville theory
• Bi-confluent Heun potentials for a stationary relativistic wave equation for a spinless particle
• Path-integral Bosonization of $d=2$ PT symmetric models
• Observation of parity-time symmetry in electrically pumped FP laser
• Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry
• Automatic hermiticity for mixed states
• $\mathcal{P}\mathcal{T}$-Symmetric Generalized Extended Momentum Operator
• Parameter estimation with the steady states of non-Hermitian spin chains
• Hybrid Breathers in Nonlinear $\mathcal{P}\mathcal{T}$-Symmetric Metamaterials
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems
• Entanglement of pseudo-Hermitian random states
• Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity
• Hofstadter's Cocoon
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Fermionic model with a non-Hermitian Hamiltonian
• Synchronization in PT-symmetric optomechanical resonators
• Dissipation-Induced Super Scattering and Lasing PT-Spaser
• Isospectral Hermitian counterpart of complex non Hermitian Hamiltonian $p^2-g{x}^4+a/x^2$
• Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrödinger equations
• Long time asymptotic behavior for the nonlocal nonlinear Schrödinger equation with weighted Sobolev initial data
• Time evolution and adiabatic approximation in $PT$-symmetric quantum mechanics
• $\mathcal{P}\mathcal{T}$-symmetry in compact phase space for a linear Hamiltonian
• An investigation of $\mathcal{P}\mathcal{T}$-symmetry breaking in tight-binding chains
• An update on coherent scattering from complex non-PT-symmetric Scarf II potential with new analytic forms
• Planarizable Supersymmetric Quantum Toboggans
• Fourth Painlevé Equation and $PT$-Symmetric Hamiltonians
• Non-orientability induced PT phase transition in Moebius ladder lattices
• A Note on Pseudo-Hermitian Systems with Point Interactions and Quantum Separability
• Localized vibrational modes in waveguide quantum optomechanics with spontaneously broken PT symmetry
• Nonlocality of Observables in Quasi-Hermitian Quantum Theory
• The Large-N Limit of PT-Symmetric O(N) Models
• PT -symmetry breaking and universal spectral statistics in quantum kicked rotors
• A tale of two kinds of exceptional point in a hydrogen molecule
• Projective Geometry and $\mathcal{P}\mathcal{T}$-Symmetric Dirac Hamiltonian
• Edge states and persistent current in a PT-symmetric extended Su-Schrieffer-Heeger model with generic boundary conditions
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Second-order pseudo-Hermitian spin-$1/2$ bosons
• Disorder-driven exceptional points and concurrent topological phase transitions in non-Hermitian systems
• Many-Body Neural Network Wavefunction for a Non-Hermitian Ising Chain
• Boundary anomalous dimensions from BCFT: O($N$)-symmetric ${\varphi }^{2n}$ theories with a boundary and higher-derivative generalizations
• Extremely broken generalized $\mathcal{P}\mathcal{T}$ symmetry
• Spectral branch points of the Bloch-Torrey operator
• Synthetic high-order PT symmetry in a single coil resonator
• Exceptional Points of Degeneracy Induced by Linear Time-Periodic Variation Hamidreza
• Identification of the metric for diagonalizable (anti-)pseudo-Hermitian Hamilton operators represented by two-dimensional matrices
• Analytical construction of soliton families in one- and two-dimensional nonlinear Schrödinger equations with non-parity-time-symmetric complex potentials
• Resilience of $\mathcal{P}\mathcal{T}$ symmetry against stochasticity in a gain-loss balanced oscillator
• Widely tunable optoelectronic oscillator based on selective parity-time-symmetry breaking
• Rabi oscillations at the exceptional point in anti-parity-time symmetric diffusive systems
• Peakompactons: Peaked compact nonlinear waves
• Physical constraints on effective non-Hermitian systems
• Vacuum Stability of the wrong sign $(-{\varphi }^6)$ Scalar Field Theory
• Stability via symmetry breaking in interacting driven systems
• Cryptohermitian Hamiltonians on graphs. II. Hermitizations
• Robust photon transmission in nonlinear parity-time-symmetric cavities
• The Hyperbolic Bloch Equations of General Relativity
• Quasi-Hermitian quantum mechanics and a new class of user-friendly matrix Hamiltonians
• Phase synchronization in dissipative non-Hermitian coupled quantum systems
• CPA-lasing associated with the quasibound states in the continuum in asymmetric non-Hermitian structures
• Quantum mechanics using two auxiliary inner products
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential
• The relation between Geometry and Matter in classical and quantum Gravity and Cosmology
• Enhanced Sensitivity of Degenerate System Made of Two Unstable Resonators Coupled by Gyrator Operating at an Exceptional Point
• Regularization of energy-dependent pointlike interactions in 1D quantum mechanics
• Spectral properties of complex Airy operator on the semi-axis
• Two-parametric PT-symmetric quartic family
• Bosonic Spin-1 SOPHY
• Eigenvalue and Eigenfunction for the $PT$-symmetric Potential $V=-(ix{)}^N$
• The dynamical problem for a non self-adjoint Hamiltonian
• Chiral behaviour for three wave guides at an exceptional point of third order
• Reduced dynamics in quasi-Hermitian systems
• Infinite series of time-dependent Dyson maps
• Characteristic influence of exceptional points in quantum dynamics
• Non-Hermitian physics and topological phenomena in convective thermal metamaterials
• The massless Dirac-Weyl equation with deformed extended complex potentials
• $\mathcal{P}\mathcal{T}$-Symmetry Enhanced Berezinskii-Kosterlitz-Thouless Superfluidity
• Non-Hermitian arrangement for stable semiconductor laser arrays
• Localization with non-Hermitian off-diagonal disorder
• Replica Symmetry Breaking in Random Non-Hermitian Systems
• To quantify the difference of $\eta$-inner products in $\mathcal{P}\mathcal{T}$-symmetric theory
• Electronic states in a bilayer graphene quantum ripple
• Invisibility and PT Symmetry: A Simple Geometrical Viewpoint
• PT symmetry and the evolution speed in open quantum systems
• A Swanson-like Hamiltonian and the inverted harmonic oscillator
• Computing eigenfunctions and eigenvalues of boundary value problems with the orthogonal spectral renormalization method
• Supercharging exceptional points: Full-spectrum pairwise coalescence in non-Hermitian systems
• Functional renormalization group for non-Hermitian and $\mathcal{P}\mathcal{T}$-symmetric systems
• Magnetic QED
• Effects of complex parameters on classical trajectories of Hamiltonian systems
• Emergence of Hermitian topology from non-Hermitian knots
• Floquet engineering with spatially non-uniform driving fields
• The operational foundations of PT-symmetric and quasi-Hermitian quantum theory
• Quantization of pseudo-hermitian systems
• A unifying E2-quasi-exactly solvable model
• Quantum Simulation of Two-Level $PT$-Symmetric Systems Using Hermitian Hamiltonians
• Singular Mapping for a $PT$-Symmetric Sinusoidal Optical Lattice at the Symmetry-Breaking Threshold
• Shannon Entropy and Diffusion Coeffcient in Parity-Time Symmetric Quantum Walks
• Resonant Combinatorial Frequency Generation Induced by a PT-symmetric Periodic Layered Stack
• Free Particle to Complex KdV breathers through Isospectral Deformation
• A new Berry phase term in parity-time symmetric non-Hermitian spin-1/2 quantum systems
• PT-symmetric quantum models living in an auxiliary Pontryagin space
• Interferometric Geometric Phases of $\mathcal{P}\mathcal{T}$-symmetric Quantum Mechanics
• From discrete nonlocal nonlinear Schrödinger equation to coupled discrete Heisenberg ferromagnet equation
• Solitonic dynamics and excitations of the nonlinear Schrodinger equation with third-order dispersion in non-Hermitian PT-symmetric potentials
• Hilbert space representation for quasi-Hermitian position-deformed Heisenberg algebra and Path integral formulation
• Pseudo-hermitian Chebyshev differential matrix and non-Hermitian Liouville quantum mechanics
• Conformal bridge transformation, $\mathcal{P}\mathcal{T}$- and super- symmetry
• Balancing gain and loss in symmetrised multi-well potentials
• Coulomb potential and the paradoxes of PT-symmetrization
• Recurrence method in Non-Hermitian Systems
• Dissipation-induced bound states as a two-level system
• Applied Supersymmetry
• Resolving Degeneracies in Complex $\mathbb{R}\times S^3$ and $\theta$-KSW
• Three-level Λ-type atomic systems with a Pseudo-Hermitian PT-symmetric Hamiltonian
• Unidirectional weak visibility in band gap and singular scattering in conduction band of one-dimensional parity-time symmetric photonic crystal
• Long time asymptotics for the nonlocal mKdV equation with finite density initial data
• Discrete solitons dynamics in $\mathcal{P}\mathcal{T}$-symmetric oligomers with complex-valued couplings
• Piecewise linear potentials for false vacuum decay and negative modes
• Algebraic construction of associated functions of nondiagonalizable models with anharmonic oscillator complex interaction
• A mathematical formalism of non-Hermitian quantum mechanics and observable-geometric phases
• The geometry properties of parity and time reversal operators in two dimensional spaces
• Quantifying non-Hermiticity using single- and many-particle quantum properties
• Electron dynamics induced by quantum cat-state light
• The Control of the Oscillation Threshold with Asymmetric Gain in Operational Amplifiers
• Comment on "Numerical estimates of the spectrum for anharmonic PT symmetric potentials" by Bowen et al
• Vortex ring beams in nonlinear $\mathcal{P}\mathcal{T}$-symmetric systems
• Anisotropy and asymptotic degeneracy of the physical-Hilbert-space inner-product metrics in an exactly solvable crypto-unitary quantum model
• Parafermionic representation of Potts-based cluster chain
• Investigation of the Effect of Quantum Measurement on Parity-Time Symmetry
• Nonreciprocal electrical transport in linear systems with balanced gain and loss in the bulk
• Anharmonic oscillators in the complex plane, $\mathcal{P}\mathcal{T}$-symmetry, and real eigenvalues
• Non-Hermitian Gravitational Wave Scattering
• On the simpleness of zeros of Stokes multipliers
• Parity-Time Symmetric Spin-1/2 Richardson-Gaudin Models
• Mutual compatibility/incompatibility of quasi-Hermitian quantum observables
• Theory of Symmetry-Protected Two-Photon Coherence
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• Uncertainty Relation for Pseudo-Hermitian Quantum Systems
• Fidelity and quantum geometry approach to Dirac exceptional points in diamond nitrogen-vacancy centers
• Non-Hermitian Hamiltonian Approach for Two-Dimensional Coherent Spectra of Driven Systems
• pyBoLaNO: A Python symbolic package for normal ordering involving bosonic ladder operators
• Probing Planck scale effects on absolute mass limit in neutrino flavor evolution
• Defect solitons in defective PT potentials with real part of dual-frequency lattices
• Quantum phase transitions and entanglement entropy in a non-Hermitian Jaynes-Cummings model
• Swanson Hamiltonian: non-PT-symmetry phase
• Asymptotic non-Hermitian degeneracy phenomenon and its exactly solvable simulation
• A weak pseudo-Hermitian two band model, artificial Hawking radiation and tunneling
• Compound symmetries and double antisymmetry groups in linear time-invariant photonic systems
• Triple exceptional point with unitary paths of unfolding in a three-site fermionic Swanson-like model
• Exploring Spectral Singularities in Dirac Semimetals: The Role of Non-Hermitian Physics and Dichroism
• Lattice and PT symmetries in tensor-network renormalization group: Case study of a hard-square lattice gas model
• The ODE/IM correspondence and PT-symmetric quantum mechanics
• Precision-Induced Irreversibility in non-Hermitian systems
• A detailed analysis of mathematics of entanglement in Non-Hermitian systems in real eigenvalue regime
• Complex Inflaton Potentials with Nonminimal Coupling: Robust Inflation and Geometric Reheating
• Sum rules and the domain after the last node of an eigenstate
• Parity-Time Symmetry Breaking in Coupled Nanobeam Cavities
• Limitations of SVD-Based Diagnostics for Non-Hermitian Many-Body Localization with Time-Reversal Symmetry
• Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal
• Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• A way to hypo-elastic artificial materials without a strain potential and displaying flutter instability
• Nonreciprocal Coupling Induced Non-Hermitian Entanglement in Optomechanical Systems
• First-order nonlinear eigenvalue problems involving functions of a general oscillatory behavior
• Observation of non-Hermitian point gap in photonic crystals
• $\mathcal{P}\mathcal{T}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics
• Computational Complexity and Simulability of Non-Hermitian Quantum Dynamics
• The Role of Exceptional Points and Transmission Peak Degeneracies in Non-Hermitian Sensing
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and $\mathcal{P}\mathcal{T}$ Symmetry Breaking
• The $\mathcal{P}\mathcal{T}$-symmetry-breaking transition in a chain of trapped interacting ions
• $\mathcal{P}\mathcal{T}$-like phase transitions from square roots of supersymmetric Hamiltonians
• Localization of states, Bloch wave and quantum phase transitions in SUSY deformed potentials in non-Hermitian optical systems
• Twin Hamiltonians, three types of the Dyson maps, and the probabilistic interpretation problem in quasi-Hermitian quantum mechanics
• $\mathcal{P}\mathcal{T}-$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets
• Real critical exponents from the $\epsilon$-expansion in an interacting $U(1)$ model with non-Hermitian $Z_4$ anisotropy
• Superradiant Quantum Phase Transition in Open Systems: System-Bath Interaction at the Critical Point
• Asymptotically exact solution of the non-Hermitian disordered interacting Hatano-Nelson chain
• Spectral analysis of a selected non self-adjoint Hamiltonian in an infinite dimensional Hilbert space
• State Diagram of the Non-Reciprocal Cahn-Hilliard Model and the Effects of Symmetry
• Complex Band Structure and Bound States in the Continuum: A Unified Theoretical Framework
• Topological states in partially-PT-symmetric azimuthal potentials
• Exponential asymptotics for the eigenvalues in the broken PT-symmetric region
• Topology with broken parity-time symmetry
• Characteristic determinant approach to the spectrum of one-dimensional $\mathcal{P}\mathcal{T}$-symmetric systems
• A unified inverse scattering transform and soliton solutions of the nonlocal modified KdV equation with non-zero boundary conditions
• Quantum speed limit time of a qubit system with non-Hermitian detuning
• Breakdown of the Meissner effect at the zero exceptional point in non-Hermitian two-band BCS model
• On pseudo-Hermitian operators with generalized $\mathcal{C}$-symmetries
• PT-symmetry a highly ordered quantum system
• PT-Symmetric magnetic Chaos in cavity magnomechanics
• Controlling complex dynamics with synthetic magnetism in optomechanical systems: A route to enhanced sensor performance
• $\mathcal{P}\mathcal{T}$-symmetric tight-binding model with asymmetric couplings
• Galilei-invariant equations for massive fields
• Harmonizing de Broglie-Bohm's Causal Interpretation with the Copenhagen Interpretation of Quantum Mechanics
• Broadband quasi-PT Symmetry Sustained by Inhomogeneous Broadening of the Spectral Line
• Operator based approach to PT-symmetric problems on a wedge-shaped contour
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Construction of non-PT-symmetric complex potentials with all-real spectra
• Nonsensitive nonlinear homotopy approach
• Generalized Parity-Time Symmetry Condition for Enhanced Sensor Telemetry
• Antiferromagnetism and spin excitations in a two-dimensional non-Hermitian Hatano-Nelson flux model
• Evolution operator for time-dependent non-Hermitian Hamiltonians
• Possible large-N fixed-points and naturalness for O(N) scalar fields
• CPT Symmetry in Projective de Sitter Universes
• High-sensitivity bio-sensor based on the real-splitting indirectly coupled Anti-Parity time symmetric WGMs
• Non-Hermiticities even in quantum systems that are closed
• Nonclassical light at exceptional points of a quantum PT-symmetric two-mode system
• Non-linear and weak-coupling expansion in Quantum Field Theory
• Development of an approximate method for quantum optical models and their pseudo-Hermicity
• Large Chern numbers in a dissipative dice model
• Exceptional point in self-consistent Markovian master equations
• On the $\mathcal{P}\mathcal{T}$-symmetric parametric amplifier
• Instantons and transseries of the Mathieu potential deformed by a $\mathcal{P}\mathcal{T}$-symmetry parameter
• The non-Hermitian landscape of autoionization
• Neutrino Pair Cerenkov Radiation for Tachyonic Neutrinos
• Rigorous Quantum Formulation of Parity-Time Symmetric Coupled Resonators
• Anisotropic oscillator with pseudo-hermiticity and its noncommutative extension
• Scattering by infinitely rising one-dimensional potentials