Unidirectional Invisibility induced by PT-Symmetric Periodic Structures

Abstract

We show that parity-time (PT) symmetric Bragg periodic structures, near the spontaneous PT - symmetry breaking point, can act as unidirectional invisible media. In this regime, the re flection from one end is diminished while it is enhanced from the other. At the same time the transmission coefficient and phase, are indistinguishable from those expected in the absence of a grating. The phenomenon is robust even in the presence of Kerr non-linearities, and it can also effectively suppress optical bistabilities.

4 pages, 4 figures

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Cited by in corpus (703)

• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• The physics of exceptional points
• Symmetry and Topology in Non-Hermitian Physics
• Topological Origin of Non-Hermitian Skin Effects
• Topological Band Theory for Non-Hermitian Hamiltonians
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Non-Hermitian Chern bands
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Spawning rings of exceptional points out of Dirac cones
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Non-reciprocal phase transitions
• Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
• Anti-Parity-Time Symmetric Optics via Flying Atoms
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Coherent perfect absorbers: linear control of light with light
• Universal non-Hermitian skin effect in two and higher dimensions
• Topological Hybrid Silicon Microlasers
• Classification of Exceptional Points and Non-Hermitian Topological Semimetals
• Photonic Topological Insulator in Synthetic Dimensions
• The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization
• Nonlinear switching and solitons in PT-symmetric photonic systems
• $\mathcal{P}\mathcal{T}$-Symmetry-Breaking Chaos in Optomechanics
• Experimental realization of a Weyl exceptional ring
• Observation of PT phase transition in a simple mechanical system
• Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices
• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• Observation of Asymmetric Transport in Structures with Active Nonlinearities
• Topological Non-Hermitian skin effect
• Non-Hermitian Many-Body Localization
• PT-Symmetric Electronics
• Photonic Topological Insulating Phase Induced Solely by Gain and Loss
• Quantum Noise Theory of Exceptional Point Sensors
• Topological states of non-Hermitian systems
• Robust light transport in non-Hermitian photonic lattices
• PT-symmetry with a system of three-level atoms
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Sensing with exceptional surfaces: combining sensitivity with robustness
• Invisibility in PT-symmetric complex crystals
• Inverse design of third-order Dirac exceptional points in photonic crystals
• Nonreciprocity as a generic route to traveling states
• Observation of Defect States in PT-Symmetric Optical Lattices
• Simultaneous Observation of Topological Edge State and Exceptional Point in an Open and Non-Hermitian System
• Information Retrieval and Criticality in Parity-Time-Symmetric Systems
• Antisymmetric PT-photonic structures with balanced positive and negative index materials
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Non-Hermitian systems and topology: A transfer-matrix perspective
• PT Metamaterials via Complex-Coordinate Transformation Optics
• Perfectly absorbing exceptional points and chiral absorbers
• Nonreciprocal Phonon Laser
• Anomalous helical edge states in a non-Hermitian Chern insulator
• General Theory of Spontaneous Emission Near Exceptional Points
• Exceptional Surfaces in PT-Symmetric Photonic Systems
• Non-Reciprocal gain in non-Hermitian time-Floquet Systems
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• PT-Symmetric Talbot Effects
• Parity-time-symmetric topological superconductor
• Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions
• Synthetic parity-time symmetry breaking in a single microcavity
• Invisibility and PT-symmetry
• Realization of active metamaterials with odd micropolar elasticity
• Mechanical PT symmetry in coupled optomechanical systems
• Perspective on topological states of non-Hermitian lattices
• Sensitivity of parameter estimation near the exceptional point of a non-Hermitian system
• Continuous and discrete Schrodinger systems with PT-symmetric nonlinearities
• Local PT symmetry violates the no-signaling principle
• Twofold Transition in PT-Symmetric Coupled Oscillators
• Dynamically encircling an exceptional point in a real quantum system
• PT-symmetric scattering in flow duct acoustics
• PT-Symmetric Plasmonic Metamaterials
• Arbitrary order exceptional point induced by photonic spin-orbit interaction in coupled resonators
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• Experimental observation of the dual behavior of $\mathcal{P}\mathcal{T}$-symmetric scattering
• Optical Isolation based on Space-time Engineered Asymmetric Photonic Bandgaps
• Nonlinear reversal of PT symmetric phase transition in a system of coupled semiconductor micro-ring resonators
• Exceptional contours and band structure design in parity-time symmetric photonic crystals
• Roadmap on structured waves
• Observation of Bloch oscillations in complex PT-symmetric photonic lattices
• Effective spontaneous PT-symmetry breaking in hybridized metamaterials
• Giant nonlinearity via breaking parity-time symmetry: a route to low-threshold phonon diodes
• Optical non-reciprocity of cold atom Bragg mirrors in motion
• Optomechanically Induced Transparency at Exceptional Points
• Experimental demonstration of an anisotropic exceptional point
• Non-Hermitian Dirac Cones
• Anti-Parity-Time Symmetric Optical Four-Wave Mixing in Cold Atoms
• Tunable terahertz coherent perfect absorption in a monolayer graphene
• Nonunitary Scaling Theory of Non-Hermitian Localization
• Exceptional Points in Random-Defect Phonon Lasers
• Constant-intensity waves and their modulation instability in non-Hermitian potentials
• Incident Direction Independent Wave Propagation and Unidirectional Lasing
• Non-Hermitian Acoustic Metamaterials: the role of Exceptional Points in sound absorption
• Supersymmetry-generated complex optical potentials with real spectra
• Tunable mid-infrared coherent perfect absorption in a graphene meta-surface
• Non-Hermitian second-order skin and topological modes
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Bypassing the bandwidth theorem with PT symmetry
• Defect states emerging from a non-Hermitian flat band of photonic zero modes
• Optical mesh lattices with PT-symmetry
• Bragg solitons in nonlinear PT-symmetric periodic potentials
• Virtual Parity-Time Symmetry
• Theory of reflectionless scattering modes
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Rational Solitons in the Parity-Time-Symmetric Nonlocal Nonlinear Schrödinger Model
• Exceptional Point Dynamics in Photonic Honeycomb Lattices with PT Symmetry
• Dynamics and topology of non-Hermitian elastic lattices with non-local feedback control interactions
• PT-symmetric optical potentials in a coherent atomic medium
• Many-body approach to non-Hermitian physics in fermionic systems
• Parametric amplification and bidirectional invisibility in PT-symmetric time-Floquet systems
• Non-Hermitian dynamics without dissipation in quantum systems
• Encircling exceptional points in a Riemann sphere for efficient asymmetric polarization-locked devices
• Nonlinear localized modes in PT-symmetric Rosen-Morse potential well
• Nonlinear modal interactions in parity-time ($\mathcal{P}\mathcal{T}$) symmetric lasers
• $\mathcal{P}\mathcal{T}$-symmetry breaking in a necklace of coupled optical waveguides
• Unidirectional Localization of Photons
• Topological Modes in a Laser Cavity through Exceptional State Transfer
• Flat bands in lattices with non-Hermitian coupling
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Stability boundaries and collisions of two-dimensional solitons in PT-symmetric couplers with the cubic-quintic nonlinearity
• Controlling photonic spin Hall effect via exceptional points
• Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations
• Chiral state-conversion without encircling an exceptional point
• Nonreciprocal enhancement of remote entanglement between nonidentical mechanical oscillators
• Unidirectional zero sonic reflection in passive $\mathcal{P}\mathcal{T}$ symmetric Willis media
• Distinguishing photon blockade in a PT-symmetric optomechanical system
• Symmetry-protected zero-mode laser with a tunable spatial profile
• Topological classification of non-Hermitian bands
• Breaking of PT-symmetry in bounded and unbounded scattering systems
• Observation of momentum-space chiral edge currents in room-temperature atoms
• Bound states in the continuum in PT-symmetric optical lattices
• $\mathcal{P}\mathcal{T}$-symmetric microring laser-absorber
• Asymmetric frequency conversion with acoustic non-Hermitian space-time varying metamaterial
• Symmetry breaking of solitons in one-dimensional parity-time-symmetric optical potentials
• Critical fluctuations at a many-body exceptional point
• Explicit definition of $\mathcal{P}\mathcal{T}$ symmetry for non-unitary quantum walks with gain and loss
• PT-symmetric quantum Liouvillian dynamics
• Spectral and transport properties of time-periodic PT-symmetric tight-binding lattices
• Wave propagation through disordered media without backscattering and intensity variations
• Experimental realization of sensitivity enhancement and suppression with exceptional surfaces
• Partially-PT-symmetric optical potentials with all-real spectra and soliton families in multi-dimensions
• Permittivity-asymmetric quasi-bound states in the continuum
• $\mathcal{P}\mathcal{T}$-breaking threshold in spatially asymmetric Aubry-Andre Harper models: hidden symmetry and topological states
• Exceptional points and enhanced sensitivity in PT-symmetric continuous elastic media
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Causality and phase transitions in PT-symmetrical optical systems
• Quantum noise and mode nonorthogonality in nonhermitian PT-symmetric optical resonators
• Liouvillian exceptional points of any order in dissipative linear bosonic systems: Coherence functions and switching between $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$ symmetries
• Direct generation of tunable orbital angular momentum beams in microring lasers with broadband exceptional points
• Knot topology of exceptional point and non-Hermitian no-go theorem
• Parity-time symmetry in optical microcavity systems
• Quantum and semiclassical exceptional points of a linear system of coupled cavities with losses and gain within the Scully-Lamb laser theory
• Dynamical Phonon Laser in Coupled Active-Passive Microresonators
• Light transport in PT-invariant photonic structures with hidden symmetries
• Unambiguous scattering matrix for non-Hermitian systems
• Analytic Results for a PT-symmetric Optical Structure
• Scully-Lamb quantum laser model for parity-time-symmetric whispering-gallery microcavities: Gain saturation effects and non-reciprocity
• PT spectroscopy of the Rabi problem
• Non-Hermitian Topological Phases: Principles and Prospects
• Quantum correlations near the exceptional point
• Exceptional Non-Abelian Topology in Multiband Non-Hermitian Systems
• PT-symmetry breaking in multilayers with resonant loss and gain locks light propagation direction
• Nonlocal homogenization of PT-symmetric multilayered structures
• Transport and spectral features in non-Hermitian open systems
• PT Symmetry via Electromagnetically Induced Transparency
• Bound states, scattering states and resonant states in PT-symmetric open quantum systems
• Exceptional non-Hermitian topological edge mode and its application to active matter
• Non-Hermitian Photonic Lattices: tutorial
• Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems
• Actively coupled optical waveguides
• PT-symmetric quantum field theory in D dimensions
• Parity-time-symmetric optical lattice with alternating gain and loss atomic configurations
• Theory of Exceptional Points of Degeneracy in Uniform Coupled-Waveguides and Balance of Gain and Loss
• Effects of renormalization and non-Hermiticity on nonlinear responses in strongly-correlated electron systems
• Non-Dissipative Non-Hermitian Dynamics and Exceptional Points in Coupled Optical Parametric Oscillators
• Higher-order exceptional point in a pseudo-Hermitian cavity optomechanical system
• Vector exceptional points with strong superchiral fields
• Nonreciprocal Superradiant Phase Transitions and Multicriticality in a Cavity QED System
• High order exceptional points in ultracold Bose gases
• Experimental demonstration of asymmetric diffraction based on a passive parity-time-symmetric acoustic grating
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Regularization of the spectral singularity in $\mathcal{P}\mathcal{T}$-symmetric systems by all order nonlinearities: Nonreciprocity and optical isolation
• Tunable elastic Parity-Time symmetric structure based on the shunted piezoelectric materials
• $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian Dirac semimetals
• Chiral metamaterials with PT symmetry and beyond
• Quasinormal modes and Purcell factors of coupled loss-gain resonators and index-modulated ring resonators near exceptional points
• $PT$-symmetric invisible defects and confluent Darboux-Crum transformations
• Steering magnonic dynamics and permeability at exceptional points in a parity-time symmetric waveguide
• Exceptional points and spectral singularities in active epsilon-near-zero plasmonic waveguides
• Parity-time symmetry from stacking purely dielectric and magnetic slabs
• Parity-Time Symmetric Coupled Microresonators with a Dispersive Gain/Loss
• Dissipative Floquet Dynamical Quantum Phase Transition
• Coherent optical control of polarization with a critical metasurface
• Scale-free localization and PT symmetry breaking from local non-Hermiticity
• Wave reflection in dielectric media obeying spatial Kramers-Kronig relations
• Enhanced nonlinear frequency conversion and Purcell enhancement at exceptional points
• Anisotropic exceptional points of arbitrary order
• A solvable model for solitons pinned to a PT-symmetric dipole
• PT-restoration via increased loss-gain in PT-symmetric Aubry-Andre model
• Transfer Matrices as Non-Unitary S-Matrices, Multimode Unidirectional Invisibility, and Perturbative Inverse Scattering
• Half-spectral unidirectional invisibility in non-Hermitian periodic optical structures
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Linear and Nonlinear PT-symmetric Oligomers: A Dynamical Systems Analysis
• Asymmetric Wave Propagation Through Nonlinear PT-symmetric Oligomers
• Delayed sudden death of entanglement at exceptional points
• Nonreciprocal Transmission in Nonlinear PT-Symmetric Metamaterials Using Epsilon-near-Zero Media Doped with Defects
• Floquet exceptional points and chirality in non-Hermitian Hamiltonians
• Impact of Dispersive and Saturable Gain/Loss on Bistability of Nonlinear Parity-Time Bragg Gratings
• Disorder-induced exceptional points and nodal lines in Dirac superconductors
• Nonlinear PT-symmetric plaquettes
• Relation between exceptional points and the Kondo effect in $f$-electron materials
• Giant Non-reciprocity Near Exceptional Point Degeneracies
• Dimer with gain and loss: Integrability and $\mathcal{P}\mathcal{T}$-symmetry restoration
• Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations
• Observing exceptional point degeneracy of radiation with electrically pumped photonic crystal coupled-nanocavity lasers
• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• Environmentally-induced exceptional points in elastodynamics
• Unveiling the Enhancement of Spontaneous Emission at Exceptional Points
• Unidirectional reflectionlessness and invisibility in the TE and TM modes of a PT-symmetric slab system
• A Dynamical Formulation of One-Dimensional Scattering Theory and Its Applications in Optics
• Modulation instability in nonlinear complex parity-time (PT) symmetric periodic structures
• Supersymmetry generated one-way invisible PT-symmetric optical crystals
• Scattering by finite periodic $\mathcal{P}\mathcal{T}$-symmetric structures
• 2D Solitons in PT-symmetric photonic lattices
• Convective and absolute PT symmetry breaking in tight-binding lattices
• Scattering in $\mathcal{P}\mathcal{T}$ and $\mathcal{R}\mathcal{T}$ Symmetric Multimode Waveguides: Generalized Conservation Laws and Spontaneous Symmetry Breaking beyond One Dimension
• Reciprocal and unidirectional scattering of parity-time symmetric structures
• Solitons in $\mathcal{P}\mathcal{T}$-symmetric periodic systems with the quadratic nonlinearity
• Generating high-order quantum exceptional points in synthetic dimensions
• Direction-Dependent Parity-Time Phase Transition and Non-Reciprocal Directional Amplification with Dynamic Gain-Loss Modulation
• 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
• Wave scattering on a domain wall in a chain of PT-symmetric couplers
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Anyonic-parity-time symmetry in complex-coupled lasers
• Nonreciprocal Signal Routing in an Active Quantum Network
• PT-symmetry in optics beyond the paraxial approximation
• Contrasting Spectral Signatures and Sensitivities of CPA-Lasing in a $\mathcal{P}\mathcal{T}$-Symmetric Periodic Structure
• Experimental Simulation of Symmetry-Protected Higher-Order Exceptional Points with Single Photons
• Non-Hermitian scattering on a tight-binding lattice
• Topological origin of quantized transport in non-Hermitian Floquet chains
• From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
• Connections between the Open-boundary Spectrum and Generalized Brillouin Zone in Non-Hermitian Systems
• Using PT-symmetry for switching applications
• Wave propagation in complex coordinates
• Ordinary versus PT-symmetric ${\varphi }^3$ quantum field theory
• Non-Hermitian elastic waveguides with piezoelectric feedback actuation: non-reciprocal bands and skin modes
• Invisible defects in complex crystals
• Quantum Simulation of the Bosonic Kitaev Chain
• Exceptional points of degeneracy and $\mathcal{P}\mathcal{T}$-symmetry in photonic coupled chains of scatterers
• Gain/loss induced localization in one-dimensional PT-symmetric tight-binding models
• Kubo formula for non-Hermitian systems and tachyon optical conductivity
• Invisibility on demand based on a generalized Hilbert transform
• Chiral polarizer based on encircling EP
• Localization, quantum resonances and ratchet acceleration in a periodically-kicked $\mathcal{P}\mathcal{T}$-symmetric quantum rotator
• Stability Through Asymmetry: Modulationally Stable Nonlinear Supermodes of Asymmetric non-Hermitian Optical Couplers
• Bidirectional invisibility in Kramers-Kronig optical media
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Photon blockade in non-Hermitian optomechanical systems with nonreciprocal couplings
• Scattering properties of PT-symmetric layered periodic structures
• Nonlinear localized modes in PT-symmetric optical media with competing gain and loss
• Cyclic permutation-time symmetric structure with coupled gain-loss microcavities
• Type II Perfect Absorption and Amplification Modes with Controllable Bandwidth in PT-Symmetric/Traditional Bragg Grating Combined Structures
• Tailoring $\mathcal{P}\mathcal{T}$-symmetric soliton switch
• Generalized Unitarity and Reciprocity Relations for PT-symmetric Scattering Potentials
• Nonlinear dynamics of wave packets in PT-symmetric optical lattices near the phase transition point
• Exceptional points of PT-symmetric reflectionless states in complex scattering systems
• Statistical PT-symmetric lasing in an optical fiber network
• $\mathcal{P}\mathcal{T}$-symmetric mode-locking
• Comparative study of Hermitian and non-Hermitian topological dielectric photonic crystals
• Higher-order exceptional point and Landau-Zener Bloch oscillations in driven non-Hermitian photonic Lieb lattices
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Exceptional points in lossy media enable decay-free wave propagation
• Spontaneous $\mathcal{T}$-symmetry breaking and exceptional points in cavity quantum electrodynamics systems
• Asymmetric lasing at spectral singularities
• Parametric instability of non-Hermitian systems near the exceptional point
• Real spectra in non-Hermitian topological insulators
• Directionality Fields generated by a Local Hilbert Transform
• Reciprocity and unitarity in scattering from a non-Hermitian complex PT-symmetric potential
• General coupled mode theory in non-Hermitian waveguides
• Non-Hermitian skin effect edge
• Symmetry in optics and photonics: a group theory approach
• Optimized Steering: Quantum State Engineering and Exceptional Points
• Spatial Kramers-Kronig relation and controlled unidirectional reflection in cold atoms
• Interaction induced dynamical $\mathcal{P}\mathcal{T}$ symmetry breaking in dissipative Fermi-Hubbard models
• Revisiting the optical $PT$-symmetric dimer
• New classes of solutions in the Coupled PT Symmetric Nonlocal Nonlinear Schrodinger Equations with Four Wave Mixing
• Reflectionless excitation of arbitrary photonic structures: A general theory
• Imaginary couplings in non-Hermitian coupled-mode theory: Effects on exceptional points of optical resonators
• Observation of non-Hermitian antichiral edge currents
• PT Meets Supersymmetry and Nonlinearity: An Analytically Tractable Case Example
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Scattering Experiments with Microwave Billiards at an Exceptional Point under Broken Time Reversal Invariance
• Multiple quantum wells for PT-symmetric phononic crystals
• Generalized Berry phase for a bosonic Bogoliubov system with exceptional points
• Coherent perfect absorption and reflection in slow-light waveguides
• Exact analogue of the Hatano-Nelson model in 1D continuous nonreciprocal systems
• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• PT-symmetric chiral metamaterials: Asymmetric effects and PT-phase control
• Collisional Dynamics of Solitons in the Coupled PT symmetric Nonlocal nonlinear Schrodinger equations
• Solitons in PT-symmetric ladders of optical waveguides
• Transmission enhancement in loss-gain multilayers by resonant suppression of reflection
• Unidirectional Reflectionless Transmission for Two-Dimensional $\mathcal{P}\mathcal{T}$-symmetric Periodic Structures
• Perturbative Analysis of Spectral Singularities and Their Optical Realizations
• Confluent Crum-Darboux transformations in Dirac Hamiltonians with $PT$-symmetric Bragg gratings
• Non-Hermitian dynamics of slowly-varying Hamiltonians
• Generic examples of PT-symmetric qubit (spin 1/2) Liouvillians
• Acoustic Multifunctional Logic Gates and Amplifier based on Passive Parity-Time Symmetry
• Imaginary gauge transformation in momentum space and Dirac exceptional point
• Percolation-induced PT symmetry breaking
• A brief review of hybrid skin-topological effect
• Higher-order exceptional point in a blue-detuned non-Hermitian cavity optomechanical system
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Relativistic PT-symmetric fermionic theories in 1+1 and 3+1 dimensions
• Unidirectional Invisibility and PT-Symmetry with Graphene
• Multifaceted dynamics and gap solitons in $\mathcal{P}\mathcal{T}$-symmetric periodic structures
• Exceptional points and photonic catastrophe
• Interacting non-Hermitian ultracold atoms in a harmonic trap: Two-body exact solution and high-order exceptional point
• Defect solitons supported by nonlocal PT symmetric superlattices
• Quantum interference and exceptional points
• The Nielsen-Ninomiya theorem, PT-invariant non-Hermiticity and single 8-shaped Dirac cone
• Shape-preserving beam transmission through non-Hermitian disordered lattices
• Prethermalization and nonreciprocal phonon transport in a levitated optomechanical array
• Bulk-edge correspondence in nonunitary Floquet systems with chiral symmetry
• Scattering properties of PT-symmetric objects
• Remarkable optics of short-pitch deformed helix ferroelectric liquid crystals: symmetries, exceptional points and polarization-resolved angular patterns
• Indifferent electromagnetic modes: bound states and topology
• Scattering-free pulse propagation through invisible non-Hermitian disorder
• Unidirectional zero reflection as gauged parity-time symmetry
• Experimental Liouvillian exceptional points in a quantum system without Hamiltonian singularities
• Localized Single Frequency Lasing States in a Finite Parity-Time Symmetric Resonator Chain
• Exceptional points for resonant states on parallel circular dielectric cylinders
• Interaction effects on $\mathcal{P}\mathcal{T}$-symmetry breaking transition in atomic gases
• Coherent perfect absorber and laser in purely imaginary conjugate metamaterials
• Bragg-induced power oscillations in PT symmetric periodic photonic structures
• Resonant mode conversion in the waveguides with an unbroken and broken PT-symmetry
• Tailoring inhomogeneous $\mathcal{P}\mathcal{T}$-symmetric fiber Bragg grating spectra
• Emitter and absorber assembly for multiple self-dual operation and directional transparency
• Pseudo-Hermiticity protects the energy-difference conservation in the scattering
• Continuous-variable entanglement generated with a hybrid PT-symmetric system
• Interactions of bright and dark solitons with localized $\mathcal{P}\mathcal{T}$-symmetric potentials
• The infinity-loop microresonator: A new integrated photonic structure working on an exceptional surface
• Coherent Perfect Rotation
• Anomalous Parity-Time Symmetry Transition away from an Exceptional Point
• A class of invisible inhomogeneous media and the control of electromagnetic waves
• Asymmetric scattering by non-hermitian potentials
• Towards perturbative renormalization of ${\varphi }^2(i\varphi {)}^{\epsilon }$ quantum field theory
• Spinor solitons and their $\mathcal{P}\mathcal{T}$-symmetric offspring
• Talbot self-imaging in $\mathcal{P}\mathcal{T}$-symmetric complex crystals
• Long-range entangled zero-mode state in a non-Hermitian lattice
• Perfect Broadband Invisibility in Isotropic Media with Gain and Loss
• Spectral singularity and deep multiple minima in the reflectivity in non-Hermitian (complex) Ginocchio potential
• Behavior of eigenvalues in a region of broken-PT symmetry
• Anti-parity-time symmetry hidden in a damping linear resonator
• Piecewise Adiabatic Following in Non-Hermitian Cycling
• PT-symmetric lattices with spatially extended gain/loss are generically unstable
• $\mathcal{P}\mathcal{T}$ symmetric phase transition and single-photon transmission in an optical trimmer system
• Dispersive readout of a weakly coupled qubit via the parity-time-symmetric phase transition
• Broadband and Wide-Angle Nonreciprocity with a Nonhermitian Metamaterial
• CPA-laser effect and exceptional points in PT-symmetric multilayer structures
• Quantum-statistical approach to electromagnetic wave propagation and dissipation inside dielectric media and nanophotonic and plasmonic waveguides
• Localized states and skin effect around non-Hermitian impurities in tight-binding models
• Transforming space with non-Hermitian dielectrics
• Scattering of gap solitons by PT-symmetric defects
• Giant frequency-selective near-field energy transfer in active--passive structures
• Eigenvalue dynamics in the presence of non-uniform gain and loss
• Coupling-induced nonunitary and unitary scattering in anti-PT-symmetric non-Hermitian systems
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Non-Hermiticity-Induced Wave Confinement and Guiding in Loss-Gain-Loss Three-Layer Systems
• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
• Scattering properties of anti-parity-time symmetric non-Hermitian system
• Experimental Observation of Partial Parity-Time Symmetry and Its Phase Transition with a Laser-Driven Cesium Atomic Gas
• Reflectionless and invisible potentials in photonic lattices
• Exceptional Points of Resonant States on a Periodic Slab
• Breaking transmission symmetry without breaking reciprocity in linear all-dielectric polarization-preserving metagratings
• A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
• Enhanced response of non-Hermitian photonic systems near exceptional points
• Nonlinear Landauer formula: Nonlinear response theory of disordered and topological materials
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• PT-symmetric optical superlattices
• $\mathcal{P}\mathcal{T}$ symmetry breaking for the scattering problem in a one-dimensional non-Hermitian lattice model
• Nonlinear wave dynamics near phase transition in $\mathcal{P}\mathcal{T}$-symmetric localized potentials
• CP symmetry in optical systems
• Acceleration toward polarization singularity inspired by relativistic ExB drift
• Nonlinear nonuniform $\mathcal{P}\mathcal{T}$-symmetric Bragg grating structures
• Spectral Singularity in confined PT symmetric optical potential
• $\mathcal{P}\mathcal{T}$ symmetry of the Su-Schrieffer-Heeger model with imaginary boundary potentials and next-nearest-neighboring coupling
• Parity-time-symmetric closed form optical quadrimer waveguides
• Self-Shielded Topological Receiver Protectors
• Non-reciprocal mu-near-zero mode in PT-symmetric magnetic domains
• Perturbative Unidirectional Invisibility
• Low-power optical bistability in $\mathcal{P}\mathcal{T}$-symmetric chirped Bragg gratings with four-wave mixing
• Light propagation in periodically modulated complex waveguides
• Nonlinear Scattering and Its Transfer Matrix Formulation in One Dimension
• Chirality sensing employing PT-symmetric and other resonant gain-loss optical systems
• Hermitian Nonlinear Wave Mixing Controlled by a PT-Symmetric Phase Transition
• Non-Hermitian time-dependent perturbation theory: asymmetric transitions and transitionless interactions
• PT phase transition in multidimensional quantum systems
• 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
• High-order spectral singularity
• Quantum walks of correlated photons in non-Hermitian photonic lattices
• Novel Topology and Manipulation of Scattering Singularities in Complex non-Hermitian Systems
• Tweaking Spectral Topology and Exceptional Points by Nonlinearity in Non-Hermitian Polariton Systems
• A Tropical Geometric Approach To Exceptional Points
• Parity-dependent unidirectional and chiral photon transfer in reversed-dissipation cavity optomechanics
• Signature of exceptional point phase transition in Hermitian systems
• Characterizing and Tuning Exceptional Points Using Newton Polygons
• Non-Hermitian spectral changes in the scattering of partially coherent radiation by periodic structures
• 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
• Laser Mode Bifurcations Induced by $\mathcal{P}\mathcal{T}$-Breaking Exceptional Points
• Unidirectional Invisibility and Nonreciprocal Transmission in Two and Three Dimensions
• Analysis of unidirectional non-paraxial invisibility of purely reflective PT-symmetric volume gratings
• A unidirectional invisible PT-symmetric complex crystal with arbitrary thickness
• $\mathcal{P}\mathcal{T}$ symmetric evolution, coherence and violation of Leggett-Garg inequalities
• Accessible phases via wave impedance engineering with PT-symmetric metamaterials
• Restricted Hilbert transform for non-Hermitian management of fields
• Wide-range-tunable Dirac-cone band structure in a chiral-time-symmetric non-Hermitian system
• Enhanced Frequency Conversion in Parity-Time Symmetry Line
• Pseudomagnetic suppression of non-Hermitian skin effect
• Stable Bloch oscillations and Landau-Zener tunneling in a non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric flat band lattice
• PT-symmetry Management in Oligomer Systems
• Quasi-energies, parametric resonances, and stability limits in ac-driven $\mathcal{P}\mathcal{T}$-symmetric systems
• All-frequency reflectionlessness
• Real-Time Transport in Open Quantum Systems From $\mathcal{P}\mathcal{T}$-Symmetric Quantum Mechanics
• Pyramid diffraction in parity-time-symmetric optical lattices
• Quasi-Exactly Solvable Scattering Problems, Exactness of the Born Approximation, and Broadband Unidirectional Invisibility in Two Dimensions
• Creating and controlling exceptional points of non-Hermitian Hamiltonians via homodyne Lindbladian invariance
• Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{P}\mathcal{T}-$symmetric systems
• Optical Modes in PT-Symmetric Double-Channel Waveguides
• Non-Bloch PT symmetry breaking: Universal threshold and dimensional surprise
• Amplified and directional spontaneous emission from arbitrary composite bodies: self-consistent treatment of Purcell effect below threshold
• Giant Amplification of Small Perturbations in Frictional Amorphous Solid
• Generalized Dimers and their Stokes-variable Dynamics
• Generalized Parametric Space, Parity Symmetry of Reflection, and Systematic Design Approach for Parity-Time Symmetric Photonic Systems
• Detecting the effects of quantum gravity with exceptional points in optomechanical sensors
• Spectrum and normal modes of non-hermitian quadratic boson operators
• Phase shifted $\mathcal{P}\mathcal{T}$-symmetric periodic structures
• Temporal metamaterials with gain and loss
• Unitary Scattering Protected by Pseudo-Hermiticity
• Parity-time symmetry under magnetic flux
• Quantum decay and amplification in a non-Hermitian unstable continuum
• Parity-time symmetry and coherent perfect absorption in a cooperative atom response
• 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
• One-sided destructive quantum interference from an exceptional point-enabled metasurface
• Realization of $\mathcal{P}\mathcal{T}$-symmetric and $\mathcal{P}\mathcal{T}$-symmetry broken states in static optical lattice potentials
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• CPT-Frames for PT-symmetric Hamiltonians
• A Class of Exactly Solvable Scattering Potentials in Two Dimensions, Entangled State Pair Generation, and a Grazing Angle Resonance Effect
• Cavity controlled spectral singularity
• Direct observation of energy band attraction effect in non-Hermitian systems
• Gyrating solitons in a necklace of optical waveguides
• Non-reciprocal interactions spatially propagate fluctuations in a 2D Ising model
• Adiabatic Approximation, Semiclassical Scattering, and Unidirectional Invisibility
• Characterization of Parity-Time Symmetry in Photonic Lattices Using Heesh-Shubnikov Group Theory
• Winding in Non-Hermitian Systems
• Constructing the scattering matrix for optical microcavities as a nonlocal boundary value problem
• Absence of Floquet scattering in oscillating non-Hermitian potential wells
• Quantum tomography of a third-order exceptional point in a dissipative trapped ion
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Asymmetric light transmission through a photonic crystal with relaxing Kerr nonlinearity
• Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of $\mathcal{P}\mathcal{T}$ symmetry
• Random-matrix theory of amplifying and absorbing resonators with PT or PTT' symmetry
• Gap solitons with null-scattering
• Generalized gauge transformation with $PT$-symmetric non-unitary operator and classical correspondence of non-Hermitian Hamiltonian for a periodically driven system
• Anomalous spontaneous emission dynamics at chiral exceptional points
• Parity-Time Symmetry Breaking beyond One Dimension: The Role of Degeneracy
• Shortcuts to adiabatic state transfer in time-modulated two-level non-Hermitian systems
• Theory and Numerical Modelling of Parity-Time Symmetric Structures in Photonics: Introduction and Grating Structures in One Dimension
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Structure and Symmetry in Coherent Perfect Polarization Rotation
• Propagation of surface plasmons on plasmonic Bragg gratings
• Optical fluxes in coupled $\mathcal{P}\mathcal{T}$-symmetric photonic structures
• Rapidly-oscillating scatteringless non-Hermitian potentials and the absence of Kapitza stabilization
• Negative-energy PT-symmetric Hamiltonians
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• Non-Hermitian quantum rings
• $\mathcal{P}\mathcal{T}$ symmetry-protected exceptional cones and analogue Hawking radiation
• Spectral and transport properties of a $\mathcal{P}\mathcal{T}$-symmetric tight-binding chain with gain and loss
• Analysis of Dirac exceptional points and their isospectral Hermitian counterparts
• Universal quantum control by non-Hermitian Hamiltonian
• Nonlinear Parity-Time (PT) symmetric closed-form optical quadrimer waveguides: Attractor perspective
• Temporal correlation beyond quantum bounds in non-hermitian dynamics
• Study on Asymmetric Diffraction of Acoustic Parity-Time-Symmetric Gratings Using Rigorous Coupled-Wave Analysis
• Surface exceptional points in a topological Kondo insulator
• Modulational instability in $\mathcal{P}\mathcal{T}$-symmetric Bragg grating structures with saturable nonlinearity
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• Invisible non-Hermitian potentials in discrete-time photonic quantum walks
• A simple model of pointlike spacetime defects and implications for photon propagation
• Floquet topological phase in a generalized PT-symmetric lattice
• Comprehensive understanding of parity-time transitions in $\mathcal{P}\mathcal{T}$ symmetric photonic crystals with an antiunitary group theory
• Transport effects in non-Hermitian nonreciprocal systems: General approach
• Grating-based microcavity with independent control of resonance energy and linewidth for non-Hermitian polariton system
• Simulating non-Hermitian dynamics of a multi-spin quantum system and an emergent central spin model
• Scattering states of a particle, with position-dependent mass, in a $\mathcal{P}\mathcal{T}$ symmetric heterojunction
• Solitons in a chain of charge-parity-symmetric dimers
• Effects of non-uniform distributions of gain and loss in photonic crystals
• Asymmetric soliton mobility in competing linear-nonlinear PT-symmetric lattices
• Quantum Optics of Non-Hermitian Optical Systems: Propagation of Squeezed State of Light through Dispersive non-Hermitian Optical Bilayers
• The effect of polarization on the propagation distance of leaky guided modes
• Multitude of exceptional points in van der Waals magnets
• Broadband and Wide-Angle Invisibility with PT-Symmetric 2D-Weyl Semimetal
• Aberration-Free Imaging Based on Parity-Time Symmetric Nonlocal Metasurfaces
• Control of Power in Parity-Time -Symmetric Lattices
• Non-Hermitian invisibility in tight-binding lattices
• Surface plasmon-polaritons in graphene, embedded into medium with gain and losses
• Phase-controlled Optical PT symmetry and asymmetric light diffraction in one- and two-dimensional optical lattices
• Pseudo PT symmetric lattice
• Anomalous Hall effect from a non-Hermitian viewpoint
• Parity-Time Synthetic Laser
• Nonuniqueness of the C operator in PT-symmetric quantum mechanics
• Fast-response silicon photonic microheater induced by parity-time symmetry breaking
• Scattering properties of a PT dipole
• Non-hermitian model for resonant cavities coupled by a chiral mirror
• Electric polarization and its quantization in one-dimensional non-Hermitian chains
• Pseudo-conservative dynamics of coupled polariton condensates
• Emergence of Exceptional Points in Periodic Metastructures with Hidden PT-symmetric Defects
• Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Effects of the third-order dispersion on continuous waves in complex potentials
• Regularization of Vertical-Cavity Surface-Emitting Lasers emission by periodic non-Hermitian potentials
• The Design for a Nanoscale Single-Photon Spin Splitter
• Coherent single-spin electron resonance spectroscopy manifested at an exceptional-point singularity in a doped polyacetylene
• Overcoming the diffraction limit on the size of dielectric resonators using an amplifying medium
• Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque
• Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers
• Dynamical Theory of Scattering, Exact Unidirectional Invisibility, and Truncated $\mathfrak{z}{e}^{-2i{k}_{0}x}$ potential
• Coherent scattering from semi-infinite non-Hermitian potentials
• Excitation Transmission through a non-Hermitian traversable wormhole
• Low-frequency scattering defined by the Helmholtz equation in one dimension
• Self-acceleration in non-Hermitian Systems
• Unidirectional Reflection and Invisibility in Nonlinear Media with an Incoherent Nonlinearity
• Polar magneto-optic Kerr and Faraday effects in finite periodic \texorpdfstring{$\mathcal{P}\mathcal{T}$}{PT}-symmetric systems
• Interplay between nonclassicality and $\mathcal{P}\mathcal{T}$ symmetry in an effective two level system with open system effects
• Fragile aspects of topological transition in lossy and parity-time symmetric quantum walks
• Microwave Amplification in a PT -symmetric-like Cavity Magnomechanical System
• Two-way enhancement of sensitivity by tailoring higher-order exceptional points
• Universal spectral behavior of $x^2(ix{)}^{\epsilon }$ potentials
• Nonlinearity-induced Scattering Zero Degeneracies for Spectral Management of Coherent Perfect Absorption in Complex Systems
• Spacing gain and absorption in a simple $\mathcal{P}\mathcal{T}$-symmetric model: spectral singularities and ladders of eigenvalues and resonances
• Time invariant $\mathcal{P}\mathcal{T}$-product and phase locking in $\mathcal{P}\mathcal{T}$-symmetric lattice models
• Born-Padé approach to electromagnetic scattering in complex one-dimensional inhomogeneous slabs
• Generalized continuity equations from two-field Schrödinger Lagrangians
• Target decoupling in a coupled optical system resistant to random perturbation
• Eigenvalue Attraction
• Quantum-optical implementation of non-Hermitian potentials for asymmetric scattering
• Non-diffracting states at exceptional points
• Exceptional points in parity-time symmetric plasmonic Huygens metasurfaces
• Time-reversal invariant scaling of light propagation in one-dimensional non-Hermitian systems
• Highly Amplified Light Transmission in Parity-Time Symmetric Multilayered Structure
• Reversible optical isolators and quasi-circulators using a magneto-optical Fabry-Pérot cavity
• Non-Hermitian engineering for brighter broadband pseudothermal light
• Spectral Singularities with Directional Sensitivity
• An introductory review on resource theories of generalized nonclassical light
• Scattering Theory and $\mathcal{P}\mathcal{T}$-Symmetry
• Gain-compensated cavities for the dynamic control of light-matter interactions
• The Effect of non-Hermiticity on Adiabatic Elimination
• Correlations at higher-order exceptional points in non-Hermitian models
• Three perspectives on entropy dynamics in a non-Hermitian two-state system
• Effects of disorder on non-unitary $\mathcal{P}\mathcal{T}$ symmetric quantum walks
• Superuniversal Statistics of Complex Time-Delays in Non-Hermitian Scattering Systems
• PHOENIX -- Paderborn highly optimized and energy efficient solver for two-dimensional nonlinear Schrödinger equations with integrated extensions
• Generalized Surface Polaritons and their quantum spin Hall effect
• A controllable anti-P-pseudo-Hermitian mechanical system and its application
• Enhancement of signal-to-noise ratio at a high-order exceptional point of coherent perfect absorption
• Spin-dependent gain and loss in photonic quantum spin Hall systems
• Non-Hermitian Floquet-Free Analytically Solvable Time Dependant Systems
• Adiabatic Series Expansion and Higher-Order Semiclassical Approximations in Scattering Theory
• Parity-Time Symmetry and Exceptional points: A Tutorial
• 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
• Scattering of TE and TM waves and quantum dynamics generated by non-Hermitian Hamiltonians
• Topological eigenvalues braiding and quantum state transfer near a third-order exceptional point
• An attractor dynamics in a non-Hermitian two-level system
• Controlling wave-front shape and propagation time with tunable disordered non-Hermitian multilayers
• Scattering off PT-symmetric upside-down potentials
• Controlling of blow-up responses by a nonlinear $\mathcal{P}\mathcal{T}$ symmetric coupling
• Scattering of Spin-$\frac{1}{2}$ Particles from a $\mathcal{P}\mathcal{T}$-symmetric Complex Potential
• Non-Hermitian Multimode Interference
• Nonlinear quantum spectroscopy with Parity-Time symmetric integrated circuits
• Eigenpairs of Toeplitz and disordered Toeplitz matrices with a Fisher-Hartwig symbol
• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• Consequences of nonreciprocity in reflection from a truncated spatial Kramers-Kronig medium
• Lopsided optical diffraction in loop electromagnetically induced grating
• Electrical tunability due to coalescence of exceptional points in parity-time symmetric waveguides
• Double-sided unidirectional reflectivity
• Dual Symmetry Classification of Non-Hermitian Systems and ${\mathbb{Z}}_2$ Point-Gap Topology of a Non-Unitary Quantum Walk
• Theory for the spectral splitting exponent of exceptional points
• Scattering in a varying mass PT symmetric double heterojunction
• Composition of Transfer Matrices for Potentials with Overlapping Support
• Supersymmetrically bounding of asymmetric states and quantum phase transitions by anti-crossing of symmetric states
• PT-symmetric transport in non-PT-symmetric bi-layer optical arrays
• State conversions around exceptional points
• Unidirectional segregation of Bright-Bright soliton through a $\mathcal{P}\mathcal{T}$-symmetric potential
• Fixed points on band structures of non-Hermitian models: Extended states in the bandgap and ideal superluminal tunneling
• Controlling quasi-parametric amplifications: From multiple PT-symmetry phase transitions to non-Hermitian sensing
• $\mathcal{P}\mathcal{T}$-symmetry phase transition in a Bose-Hubbard model with localized gain and loss
• Hermitian and non-Hermitian topology in active matter
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• Quantumness and its hierarchies in PT-symmetric down-conversion models
• Stability of time-periodic $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonians with different periodicities
• Topological Dynamics and Correspondences in Composite Exceptional Rings
• Mirror optical activity: efficient chiral sensing from electromagnetic parity indefiniteness
• Broadband directional invisibility
• Semi-localization transition driven by a single asymmetrical tunneling
• PT-symmetry enabled spintronic thermal diode and logic gates
• Temporal Parity-Time Symmetry for Extreme Energy Transformations
• Electromagnetic Eigenvalue Problems and Nonhermitian Effects in Linear and Saturable Scattering
• Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model
• Non-Hermitian physics and engineering in silicon photonics
• Acoustic response in a a one-dimensional layered pseudo-Hermitian metamaterial containing defects
• Oblique scattering from non-Hermitian optical waveguides
• Non-Hermitian Photonics based on Charge-Parity Symmetry
• Classical Trajectories of the Continuum States of the $\mathcal{P}\mathcal{T}$ symmetric Scarf II potential
• PT-Symmetric Model of Immune Response
• Resonant scattering of two-dimensional honeycomb PT dipole structure
• PT-symmetric microring lasers: Self-adapting broadband mode-selective resonators
• Chiral-reversing vortex radiation from a single emitter by eigenstates phase locking
• Gap solitons and symmetry breaking in parity-time symmetric microring CROWs
• Chiral and non-chiral swift mode conversion near an exception point with dynamic adiabaticity engineering
• Apodized photonic crystals: A non-dissipative system hosting multiple exceptional points
• Sublattice signatures of transitions in a $\mathcal{P}\mathcal{T}$-symmetric dimer lattice
• Chiral state conversion in a levitated micromechanical oscillator with in situ control of parameter loops
• Non-adiabatic transitions in parabolic and super-parabolic $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian systems
• Engineering wavefront caustics trajectories in $\mathcal{P}\mathcal{T}$-symmetric lattices
• Exceptional Non-Hermitian Topology Associated with Non-Toroidal Brillouin Zones
• Coherent control of nonreciprocal optical properties of the defect modes in 1D defective photonic crystals with atomic doping
• Lüders bounds of Leggett-Garg inequalities, $\mathcal{P}\mathcal{T}$- symmetric evolution and arrow-of-time
• Absorption to Fluctuating Bunching States in Non-Unitary Boson Dynamics
• Unidirectional exceptional point of reflectionless states in a magnonic mirror array
• Diffusive Topological Transport in Spatiotemporal Thermal Lattices
• Scattering symmetry of diffusive systems
• Unidirectional focusing of light using structured diffractive surfaces
• Coherent confinement and unidirectional dynamics of a wave packet induced by a non-Hermitian Su-Schrieffer-Heeger segment
• Thermodynamic properties of non-Hermitian Nambu--Jona-Lasinio models
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• Beam Dynamics in a Double-Channel Waveguide with Gain and Loss
• An interferometric method to estimate the eigenvalues of a Non-Hermitian two-level optical system
• Third-order exceptional surface in a pseudo-Hermitian superconducting circuit
• Photonic Crystals Engineering For Light Manipulation: Low Symmetry, Graded Index and Parity Time Symmetry
• Arbitrary-Order Scattering Exceptional Points in Configurable Non-Hermitian Zero-Index Materials
• Origin of Robust ${\mathbb{Z}}_2$ Topological Phases in Stacked Hermitian Systems: Non-Hermitian Level Repulsion
• Time evolution and adiabatic approximation in $PT$-symmetric quantum mechanics
• Computing Riemann zeros with light scattering
• Single-photon scattering controlled by an imperfect cavity
• Superuniversal Statistics with Topological Origins for non-Hermitian Scattering Singularities
• Vortex Laser at Exceptional Point
• Mini-review: Spatial solitons supported by localized gain
• Beyond the Petermann limit: can exceptional points increase sensor precision?
• $\mathcal{P}\mathcal{T}$-symmetry in compact phase space for a linear Hamiltonian
• Non-hermitian off-diagonal magnetic response of Dirac fermions
• A variational approach to Schroedinger equation with parity-time symmetry Gaussian complex potential
• Synchronization in PT-symmetric optomechanical resonators
• In-Plane Linear Stress Waves in Layered Media: I. Non-Hermitian Degeneracies and Modal Chirality
• Exceptional spectrum and dynamic magnetization
• Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry
• Hybrid Breathers in Nonlinear $\mathcal{P}\mathcal{T}$-Symmetric Metamaterials
• Solitons and their ghosts in PT-symmetric systems with defocusing nonlinearities
• A tale of two kinds of exceptional point in a hydrogen molecule
• Winding around Non-Hermitian Singularities: General Theory and Topological Features
• Low-Frequency Scattering of TE and TM Waves by an Inhomogeneous Medium with Planar Symmetry
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Extraction of power transmission parameters from PT-symmetric waveguides
• Scattering Dynamics and Boundary States of a Non-Hermitian Dirac Equation
• Beyond characteristic equations: A unified one-dimensional non-Bloch band theory via wavefunction data
• Exceptional rings in nonlinear non-Hermitian planar optical microcavities: implementation, signal enhancement, and topology
• Resonant Combinatorial Frequency Generation Induced by a PT-symmetric Periodic Layered Stack
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• Supercharging exceptional points: Full-spectrum pairwise coalescence in non-Hermitian systems
• Compound symmetries and double antisymmetry groups in linear time-invariant photonic systems
• Unique multistable states in periodic structures with saturable nonlinearity
• The $\mathcal{P}\mathcal{T}$-symmetry-breaking transition in a chain of trapped interacting ions
• Nonreciprocal Scattering by PT-symmetric stack of the layers
• FDTD simulation algorithm of magnetized plasma media
• Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: II. Nonconventional PT-symmetric dynamics and unidirectional coupling
• Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with PT-symmetry
• Non-Hermitian Lindhard function and Friedel oscillations
• Non-Hermitian arrangement for stable semiconductor laser arrays
• Optical symmetric pushing, uni-/bi-directional null, and pulling-pushing flipped forces in one dimensional PT-symmetric photonics
• Nonreciprocal Coupling Induced Non-Hermitian Entanglement in Optomechanical Systems
• $N$-channel comb filtering and lasing in $\mathcal{P}\mathcal{T}$-symmetric superstructures
• Extra Loss-free Non-Hermitian Engineered Single Mode Laser Systems
• Equations of motion governing the dynamics of the exceptional points of parameterically dependent nonhermitian Hamiltonians
• Refractive index profiles for a $\mathcal{P}\mathcal{T}$-symmetric optical structure
• Genetic optimization Invents non-Hermitian potentials for Asymmetric Reflectivity
• Non-linear and weak-coupling expansion in Quantum Field Theory
• Nonclassical light at exceptional points of a quantum PT-symmetric two-mode system
• Generalized Parity-Time Symmetry Condition for Enhanced Sensor Telemetry
• $\mathcal{P}\mathcal{T}$-symmetric tight-binding model with asymmetric couplings
• Negative refraction based on purely imaginary conjugate metamaterials
• Accelerated Non-Reciprocal Transfer of Energy Around an Exceptional Point
• High-speed and single-mode FP laser based on parity-time symmetry
• Stability band structure for periodic states in periodic potentials
• Unidirectional weak visibility in band gap and singular scattering in conduction band of one-dimensional parity-time symmetric photonic crystal
• Singular Mapping for a $PT$-Symmetric Sinusoidal Optical Lattice at the Symmetry-Breaking Threshold
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Local perfect chirality at reflection-zeros away from exceptional points in optical whispering gallery microcavity
• The Control of the Oscillation Threshold with Asymmetric Gain in Operational Amplifiers