Biorthogonal Quantum Mechanics

Abstract

The Hermiticity condition in quantum mechanics required for the characterisation of (a) physical observables and (b) generators of unitary motions can be relaxed into a wider class of operators whose eigenvalues are real and whose eigenstates are complete. In this case, the orthogonality of eigenstates is replaced by the notion of biorthogonality that defines the relation between the Hilbert space of states and its dual space. The resulting quantum theory, which might appropriately be called 'biorthogonal quantum mechanics', is developed here in some detail in the case for which the Hilbert space dimensionality is finite. Specifically, characterisations of probability assignment rules, observable properties, pure and mixed states, spin particles, measurements, combined systems and entanglements, perturbations, and dynamical aspects of the theory are developed. The paper concludes with a brief discussion on infinite-dimensional systems.

26 pages, final version to appear in J. Phys. A

References in corpus (9)

• Making Sense of Non-Hermitian Hamiltonians
• The physics of exceptional points
• Visualization of Branch Points in PT-Symmetric Waveguides
• A non-Hermitian $PT-$symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
• Mixed-state evolution in the presence of gain and loss
• Three-Hilbert-Space Formulation of Quantum Mechanics
• Geometric Phase for Non-Hermitian Hamiltonians and Its Holonomy Interpretation
• Information Geometry of Complex Hamiltonians and Exceptional Points
• Equivalence between focussed paraxial beams and the quantum harmonic oscillator

Cited by in corpus (338)

• Exceptional Topology of Non-Hermitian Systems
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Quantum magnonics: when magnon spintronics meets quantum information science
• Non-Hermitian Topology and Exceptional-Point Geometries
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Topological acoustics
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Non-Hermitian Many-Body Localization
• Symmetry-protected nodal phases in non-Hermitian systems
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Information Retrieval and Criticality in Parity-Time-Symmetric Systems
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Non-Hermitian systems and topology: A transfer-matrix perspective
• Knots and Non-Hermitian Bloch Bands
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Parity-time-symmetric topological superconductor
• Observation of PT-symmetric quantum interference
• Entanglement spectrum and entropy in topological non-Hermitian systems and non-unitary conformal field theories
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• Coherent control of a symmetry-engineered multi-qubit dark state in waveguide quantum electrodynamics
• Geometry and response of Lindbladians
• Generalized bulk-edge correspondence for non-hermitian topological systems
• Non-Hermitian Hamiltonians and no-go theorems in quantum information
• Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
• Dissipative spin chain as a non-Hermitian Kitaev ladder
• Hamiltonian for the zeros of the Riemann zeta function
• Non-Hermitian exceptional Landau quantization in electric circuits
• Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models
• Observation of emergent momentum-time skyrmions in parity-time-symmetric non-unitary quench dynamics
• Quantum Dynamics in Krylov Space: Methods and Applications
• Observation of topological transport quantization by dissipation in fast Thouless pumps
• Quasinormal-mode expansion of the scattering matrix
• Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
• Chirality as Generalized Spin-Orbit Interaction in Spintronics
• Many-body approach to non-Hermitian physics in fermionic systems
• Exceptional points in topological edge spectrum of PT symmetric domain walls
• Electromagnetic helicity in complex media
• Exceptional magnetic sensitivity of PT-symmetric cavity magnon polaritons
• Topological invariants in dissipative extensions of the Su-Schrieffer-Heeger model
• Non-hermitian quantum thermodynamics
• Explicit definition of $\mathcal{P}\mathcal{T}$ symmetry for non-unitary quantum walks with gain and loss
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Liouvillian Skin Effect in an Exactly Solvable Model
• Exceptional Bound States and negative Entanglement Entropy
• Non-Hermitian physics and master equations
• Consistency of PT-symmetric quantum mechanics
• Non-Bloch band theory in bosonic Bogoliubov-de Gennes systems
• Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
• Topological theory of non-Hermitian photonic systems
• Parity-time symmetry in optical microcavity systems
• Berry Curvature and Quantum Metric in $N$-band systems -- an Eigenprojector Approach
• Exceptional Non-Abelian Topology in Multiband Non-Hermitian Systems
• Non-Hermitian Topological Phases: Principles and Prospects
• Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality
• Fundamentals of Quantum Mechanics in Liouville Space
• $\mathcal{P}\mathcal{T}$-symmetric wave guide system with evidence of a third-order exceptional point
• Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension
• Non-Hermitian Photonic Lattices: tutorial
• Hunting for the non-Hermitian exceptional points with fidelity susceptibility
• Hermitian zero modes protected by nonnormality: Application of pseudospectra
• Topology-Enhanced Nonreciprocal Scattering and Photon Absorption in a Waveguide
• Dynamical signatures of topological order in the driven-dissipative Kitaev chain
• Non-Hermitian skin effect as an impurity problem
• Topological Phase Transition Independent of System Non-Hermiticity
• Dual topological characterization of non-Hermitian Floquet phases
• Non-Hermitian Floquet Topological Matter -- A Review
• Rényi entropies and negative central charges in non-Hermitian quantum systems
• Non-Hermitian Floquet second order topological insulators in periodically quenched lattices
• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Curving the space by non-Hermiticity
• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
• Flattening the Curve with Einstein's Quantum Elevator: Hermitization of Non-Hermitian Hamiltonians via a Generalized Vielbein Formalism
• Real space topological invariant and higher-order topological Anderson insulator in two-dimensional non-Hermitian systems
• Dynamic winding number for exploring band topology
• Phase Transitions and Generalized Biorthogonal Polarization in Non-Hermitian Systems
• Biorthogonal quantum criticality in non-Hermitian many-body systems
• Sensitivity of non-Hermitian systems
• Non-Hermitian Hamiltonian Deformations in Quantum Mechanics
• Symmetry-resolved entanglement in critical non-Hermitian systems
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• New supersymmetry-generated complex potentials with real spectra
• Non-Hermitian skin effect in magnetic systems
• Fixed points and emergent topological phenomena in a parity-time-symmetric quantum quench
• Symmetry and topological classification of Floquet non-Hermitian systems
• Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems
• Bi-Orthogonal Approach to Non-Hermitian Hamiltonians with the Oscillator Spectrum: Generalized Coherent States for Nonlinear Algebras
• Quantum Entanglement of Non-Hermitian Quasicrystals
• Theoretical Prediction of Non-Hermitian Skin Effect in Ultracold Atom Systems
• Single photon scattering from a chain of giant atoms coupled to a one-dimensional waveguide
• Diagnosing non-Hermitian Many-Body Localization and Quantum Chaos via Singular Value Decomposition
• $\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
• Kubo formula for non-Hermitian systems and tachyon optical conductivity
• Non-Hermitian topology in monitored quantum circuits
• Self-hybridization within non-Hermitian plasmonic systems
• Entanglement Entropy of Non-Hermitian Free Fermions
• Irreversibility of the renormalization group flow in non-unitary quantum field theory
• Entanglement Entropy of Non-Hermitian Eigenstates and the Ginibre Ensemble
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Non-Bloch quench dynamics
• Non-Hermitian quantum impurity systems in and out of equilibrium: noninteracting case
• Always-Real-Eigenvalued Non-Hermitian Topological Systems
• Real spectra in non-Hermitian topological insulators
• Charge-Transfer Chemical Reactions in Nanofluidic Fabry-P{é}rot Cavities
• Classical and quantum dynamics in the (non-Hermitian) Swanson oscillator
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Dissipative Floquet Majorana modes in proximity-induced topological superconductors
• Experimental observation of exceptional bound states in a classical circuit network
• Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect
• Entanglement dynamics in the many-body Hatano-Nelson model
• Positive- and negative-frequency noise from an ensemble of two-level fluctuators
• Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
• Non-Hermitian BCS-BEC evolution with a complex scattering length
• Dissipation-induced topological transitions in continuous Weyl materials
• Adiabatic Decoherence-Free Subspaces and its Shortcuts
• Solving the quantum master equation of coupled harmonic oscillators with Lie algebra methods
• Effect of quantum jumps on non-Hermitian system
• Bulk-edge correspondence in nonunitary Floquet systems with chiral symmetry
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics
• Dissipative Boundary State Preparation
• Driving quantum systems with repeated conditional measurements
• Complex fixed points of the non-Hermitian Kondo model in a Luttinger liquid
• Pseudo-Hermiticity protects the energy-difference conservation in the scattering
• Unitarity breaking in self-averaging spectral form factors
• Kinked linear response from non-Hermitian cold-atom pumping
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Weak Ergodicity Breaking in Non-Hermitian Many-body Systems
• Complex Berry phase instability in PT-symmetric coupled waveguides
• Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians
• Non-Hermitian flatband generator in one dimension
• Topological characterization of non-Hermitian multiband systems using Majorana's Stellar Representation
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Non-Hermitian Chiral Magnetic Effect in Equilibrium
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Quantum Liouvillian exceptional and diabolical points for bosonic fields with quadratic Hamiltonians: The Heisenberg-Langevin equation approach
• Symmetry protected exceptional points of interacting fermions
• Statistical properties of eigenvalues of the non-Hermitian Su-Schrieffer-Heeger model with random hopping terms
• Repeatability of measurements: Equivalence of hermitian and non-hermitian observables
• Maxwell meets Reeh-Schlieder: the quantum mechanics of neutral bosons
• Dynamics of finite dimensional non-hermitian systems with indefinite metric
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
• Extension of Noether's theorem in PT-symmetric systems and its experimental demonstration in an optical setup
• Entanglement Hamiltonian in the non-Hermitian SSH model
• Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Universal Hall conductance scaling in non-Hermitian Chern insulators
• Probing two-body exceptional points in open dissipative systems
• Collective bosonic effects in an array of transmon devices
• Scrambling and operator entanglement in local non-Hermitian quantum systems
• Non-Hermitian noncommutative quantum mechanics
• Local photons
• Engineering Yang-Lee anyons via Majorana bound states
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Driven-dissipative topological phases in parametric resonator arrays
• Many-body phase transitions in a non-Hermitian Ising chain
• Quantum-jump vs stochastic Schrödinger dynamics for Gaussian states with quadratic Hamiltonians and linear Lindbladians
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Correlations and Krylov spread for a non-Hermitian Hamiltonian: Ising chain with a complex-valued transverse magnetic field
• Alice string in Non-Hermitian Systems
• Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
• Holonomic Gates in Pseudo-Hermitian Quantum Systems
• Nontrivial worldline winding in non-Hermitian quantum systems
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Real-space topological localizer index to fully characterize the dislocation skin effect
• Spectrum and normal modes of non-hermitian quadratic boson operators
• Unitary Scattering Protected by Pseudo-Hermiticity
• Observables in non-Hermitian systems: A methodological comparison
• Detecting exceptional points through dynamics in non-Hermitian systems
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields
• Unified entropies and quantum speed limits for nonunitary dynamics
• Composite quantum Coriolis forces
• Quantum Models of Consciousness from a Quantum Information Science Perspective
• Shortcuts to adiabatic state transfer in time-modulated two-level non-Hermitian systems
• Exceptional points and exponential sensitivity for periodically driven Lindblad equations
• Exceptional Points and Stability in Nonlinear Models of Population Dynamics having $\mathcal{P}\mathcal{T}$ symmetry
• Matrix product state fixed points of non-Hermitian transfer matrices
• Semiclassical Husimi distributions for non-Hermitian quantum systems
• Bosonic pair creation and the Schiff-Snyder-Weinberg effect
• $\mathcal{P}\mathcal{T}$ symmetry-protected exceptional cones and analogue Hawking radiation
• Universal quantum control by non-Hermitian Hamiltonian
• Anderson localization induced by complex potential
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism
• Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders
• Tunable photon scattering by an atom dimer coupled to a band edge of a photonic crystal waveguide
• Quantum Squeezing of Slow-Light Dark Solitons via Electromagnetically Induced Transparency
• Effective impurity behavior emergent from non-Hermitian proximity effect
• Perturbation theory of optical resonances of deformed dielectric spheres
• Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems
• Comparing Hermitian and Non-Hermitian Quantum Electrodynamics
• Compactification of Determinant Expansions via Transcorrelation
• Mixed states driven by Non-Hermitian Hamiltonians of a nuclear spin ensemble
• Towards the theory of types III and IV non-Hermitian Weyl fermions
• Probing few-excitation eigenstates of interacting atoms on a lattice by observing their collective light emission in the far field
• Anomalous Hall effect from a non-Hermitian viewpoint
• Topological invariants of complex energy plane in non-Hermitian systems
• Simulating and probing many-body quantum states in waveguide-QED systems with giant atoms
• Exceptional magic angles in non-Hermitian twisted bilayer graphene
• Entangelment Entropy on Generalized Brillouin Zone
• Operator size growth in Lindbladian SYK
• Exceptional points and quantum phase transition in a fermionic extension of the Swanson oscillator
• Quasi-Hermitian formulation of quantum mechanics using two conjugate Schrödinger equations
• Electric conductivity in non-Hermitian holography
• Fractal Nodal Band Structures
• Unitarity of Symplectic Fermion in $\alpha$-vacua with Negative Central Charge
• Work statistics in slow thermodynamic processes
• Electric polarization and its quantization in one-dimensional non-Hermitian chains
• Floquet engineering of optical lattices with spatial features and periodicity below the diffraction limit
• Nonequilibrium Work Relation from Schroedinger's Unrecognized Probability Theory
• Non-Hermitian entanglement dip from scaling-induced exceptional criticality
• Non-Hermitian tuned topological band gap
• Localization transition in non-Hermitian systems depending on reciprocity and hopping asymmetry
• Nonlinear Hall effects with an exceptional ring
• On Rotations as Spin Matrix Polynomials
• Complex entanglement entropy for complex conformal field theory
• Non-Hermitian Generalization of Rayleigh-Schrödinger Perturbation Theory
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Non-Hermiticity and conservation of orthogonal relation in dielectric microcavity
• Engineering photonic band gaps with a waveguide-QED structure containing an atom-polymer array
• Abnormal Frequency Response Determined by Saddle Points in Non-Hermitian Crystal Systems
• Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian
• Non-Hermitian Numerical Renormalization Group: Solution of the non-Hermitian Kondo model
• Enhanced frequency and temperature estimation by a $\mathcal{P}\mathcal{T}$-symmetric quantum oscillator
• $\mathcal{P}\mathcal{T}$-symmetric quantum Rabi model: Solutions and exceptional points
• Formal Green's function theory in non-Hermitian lattice systems
• Extended unitarity and absence of skin effect in periodically driven systems
• Impurity-induced counter skin-effect and linear modes in non-Hermitian systems
• Validation of classical modeling of single-photon pulse propagation
• Néel vector controlled exceptional contours in $p$-wave magnet-ferromagnet junctions
• Nonadiabatic transitions in non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric two-level systems
• An introductory review on resource theories of generalized nonclassical light
• Non-stationary non-Hermitian "wrong-sign'' quantum oscillators and their meaningful physical interpretation
• Heisenberg and Heisenberg-Like Representations via Hilbert Space Bundle Geometry in the Non-Hermitian Regime
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Topologically compatible non-Hermitian skin effect
• Three perspectives on entropy dynamics in a non-Hermitian two-state system
• Entanglement entropy distinguishes PT-symmetry and topological phases in a class of non-unitary quantum walks
• Quantum thermodynamics aspects with a thermal reservoir based on $\mathcal{P}\mathcal{T}$-symmetric Hamiltonians
• Vacuum Rabi Splitting and Quantum Fisher Information of a Non-Hermitian Qubit in a Single-Mode Cavity
• Universal long-wavelength nonlinear optical response of noble gases
• Composite Quantum Phases in Non-Hermitian Systems
• Phase transitions induced by standard and predetermined measurements in transmon arrays
• Quantum mechanics of composite fermions
• Relative Entropy as a Measure of Difference Between Hermitian and Non-Hermitian Systems
• Recognizing critical lines via entanglement in non-Hermitian systems
• 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
• Mixedness timescale in non-Hermitian quantum systems
• Effective Hamiltonian approach to the quantum phase transitions in the extended Jaynes-Cummings model
• Local preservation of no-signaling in multiparty PT-symmetric evolutions
• Topologically protected negative entanglement
• Quantum singularities in a solvable toy model
• Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models
• Slow approach to adiabaticity in many-body non-Hermitian systems: the Hatano-Nelson Model
• Characterizing topological pumping of charges in exactly solvable Rice-Mele chains of the non-Hermitian variety
• Robustness of entanglement in a non-Hermitian cavity-optomechanical system even away from exceptional points
• Non-Hermitian catalysis of spontaneous symmetry breaking on Euclidean and hyperbolic lattices
• Emerging (2+1)D electrodynamics and topological instanton in pseudo-Hermitian two-level systems
• Spin-charge bound states and emerging fermions in a quantum spin liquid
• Non-Hermitian skin effect and electronic nonlocal transport
• Influence of Impurity on the Rate of Single Photon Superradiance in Disordered N Qubit Chain
• Quantum geometrical effects in non-Hermitian systems
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• More on Rotations as Spin Matrix Polynomials
• Convergence and completeness for square-well Stark resonant state expansions
• 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
• Biorthogonal systems on unit interval and zeta dilation operators
• Perturbative expansion of irreversible works in symmetric and asymmetric processes
• An effective curved space-time geometric theory of generic twist angle graphene with application to a rotating bilayer configuration
• Intrinsic exceptional point -- a challenge in quantum theory
• The extended star graph as a light-harvesting-complex prototype: excitonic absorption speedup by peripheral energy defect tuning
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Quantum implementation of non-unitary operations with biorthogonal representations
• Direct measurement of the quantum geometric tensor in pseudo-Hermitian systems
• Collectively enhanced ground-state cooling in subwavelength atomic arrays
• Natural polynomials for Kerr quasi-normal modes
• Non-Hermitian Parent Hamiltonian from Generalized Quantum Covariance Matrix
• Uncovering Exceptional Contours in non-Hermitian Hyperbolic Matter
• Features, paradoxes and amendments of perturbative non-Hermitian quantum mechanics
• Hard edge asymptotics of correlation functions between singular values and eigenvalues
• Three alternative model-building strategies using quasi-Hermitian time-dependent observables
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Oscillators with imaginary coupling: spectral functions in quantum mechanics and quantum field theory
• Geometric phase for Dirac Hamiltonian under gravitational fields in the non-relativistic regime
• Robustness of tripartite entangled states in passive PT-symmetric qubits
• Non-Hermitian wave-packet dynamics and its realization within a non-Hermitian chiral cavity
• On the analytical continuation of lattice Liouville theory
• Entanglement properties of bound and resonant few-body states
• Many-Body Neural Network Wavefunction for a Non-Hermitian Ising Chain
• $\mathcal{P}\mathcal{T}$-symmetric two-photon quantum Rabi models
• Zero modes and index theorems for non-Hermitian Dirac fermions
• Universal quantum control over non-Hermitian continuous-variable systems
• Parameter estimation with the steady states of non-Hermitian spin chains
• Position measurement and the Huygens-Fresnel principle: A quantum model of Fraunhofer diffraction for polarized pure states
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Stronger sum uncertainty relations for non-Hermitian operators
• Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: I. Inherited and genuine singularities
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Noisy Stark probes as quantum-enhanced sensors
• Geometric criterion of topological phase transition for non-Hermitian systems
• Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
• Effective Hamiltonian approach to the exact dynamics of open system by complex discretization approximation for environment
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• $\mathcal{P}\mathcal{T}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics
• Bound states and decay dynamics in $N$-level Friedrichs model with factorizable interactions
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• Covariant formulation of the Berry connection in non-Hermitian systems
• Hexagonal Warping Control of Exceptional Points in Topological Insulator--Ferromagnetic Heterojunctions
• Electron dynamics induced by quantum cat-state light
• Landau-Zener transitions through a pair of higher order exceptional points
• Spontaneous decay of artificial atoms in a three-qubit system
• Dissipation-induced bound states as a two-level system
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing
• Adiabatic Quantum Zeno Dynamics of Bosonic Atom Pairs with Large Inelastic Losses
• Passive leakage removal unit based on a disordered transmon array
• Balancing gain and loss in symmetrised multi-well potentials
• Functional renormalization group for non-Hermitian and $\mathcal{P}\mathcal{T}$-symmetric systems
• Non-Hermiticity induced thermal entanglement phase transition
• Physical constraints on effective non-Hermitian systems
• Emergence and localization of exceptional points in an exactly solvable toy model
• Quantum phase transitions and entanglement entropy in a non-Hermitian Jaynes-Cummings model
• Asymptotically exact solution of the non-Hermitian disordered interacting Hatano-Nelson chain
• Spontaneous decay of artificial atoms in a multi-qubit system
• Pseudo-Jahn-Teller interaction among electronic resonant states of H3
• Twin Hamiltonians, three types of the Dyson maps, and the probabilistic interpretation problem in quasi-Hermitian quantum mechanics
• Survival of Hermitian Criticality in the Non-Hermitian Framework
• Illuminating the bulk-boundary correspondence of a non-Hermitian stub lattice with Majorana stars