PT-symmetry breaking and laser-absorber modes in optical scattering systems

Abstract

Using a scattering matrix formalism, we derive the general scattering properties of optical structures that are symmetric under a combination of parity and time-reversal (PT). We demonstrate the existence of a transition beween PT-symmetric scattering eigenstates, which are norm-preserving, and symmetry-broken pairs of eigenstates exhibiting net amplification and loss. The system proposed by Longhi, which can act simultaneously as a laser and coherent perfect absorber, occurs at discrete points in the broken symmetry phase, when a pole and zero of the S-matrix coincide.

4 pages, 4 figures

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• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Complex Extension of Quantum Mechanics
• Coherent Perfect Absorbers: Time-reversed Lasers
• PT-symmetric laser-absorber
• Quantum noise and self-sustained radiation of PT-symmetric systems
• Resonance Phenomenon Related to Spectral Singularities, Complex Barrier Potential, and Resonating Waveguides

Cited by in corpus (384)

• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Non-Hermitian Physics
• The physics of exceptional points
• Symmetry and Topology in Non-Hermitian Physics
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Spawning rings of exceptional points out of Dirac cones
• Light fields in complex media: mesoscopic scattering meets wave control
• Non-Hermitian Topology and Exceptional-Point Geometries
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Pump-induced Exceptional Points in Lasers
• Second-Order Topological Phases in Non-Hermitian Systems
• Anti-Parity-Time Symmetric Optics via Flying Atoms
• 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
• Topologically protected midgap states in complex photonic lattices
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization
• Observation of coherent perfect absorption at an exceptional point
• Nonlinear switching and solitons in PT-symmetric photonic systems
• $\mathcal{P}\mathcal{T}$-Symmetry-Breaking Chaos in Optomechanics
• New topological invariants in non-Hermitian systems
• Optical Resonator Analog of a Two-Dimensional Topological Insulator
• PT symmetry and spontaneous symmetry breaking in a microwave billiard
• Observation of Asymmetric Transport in Structures with Active Nonlinearities
• Nonlinear and Quantum Optics with Whispering Gallery Resonators
• PT-Symmetric Electronics
• Invisibility in PT-symmetric complex crystals
• Observation of Defect States in PT-Symmetric Optical Lattices
• Antisymmetric PT-photonic structures with balanced positive and negative index materials
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• PT Metamaterials via Complex-Coordinate Transformation Optics
• Perfectly absorbing exceptional points and chiral absorbers
• Observation of critical phenomena in parity-time-symmetric quantum dynamics
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Mixed-state evolution in the presence of gain and loss
• Non-Reciprocal gain in non-Hermitian time-Floquet Systems
• PT-Symmetric Talbot Effects
• Invisibility and PT-symmetry
• Synthetic parity-time symmetry breaking in a single microcavity
• Mechanical PT symmetry in coupled optomechanical systems
• Coalescence of spectral singularities and phase diagrams for one-dimensional PT symmetric photonic crystals
• Continuous and discrete Schrodinger systems with PT-symmetric nonlinearities
• PT-Symmetric Plasmonic Metamaterials
• PT-symmetric scattering in flow duct acoustics
• Arbitrary order exceptional point induced by photonic spin-orbit interaction in coupled resonators
• Experimental observation of the dual behavior of $\mathcal{P}\mathcal{T}$-symmetric scattering
• 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
• Observation of Bloch oscillations in complex PT-symmetric photonic lattices
• Effective spontaneous PT-symmetry breaking in hybridized metamaterials
• Experimental demonstration of an anisotropic exceptional point
• Non-Hermitian disorder in two-dimensional optical lattices
• Anti-Parity-Time Symmetric Optical Four-Wave Mixing in Cold Atoms
• Experimental realization of Floquet PT-symmetric systems
• 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
• Bypassing the bandwidth theorem with PT symmetry
• Unconventional modes in lasers with spatially varying gain and loss
• Defect states emerging from a non-Hermitian flat band of photonic zero modes
• Bragg solitons in nonlinear PT-symmetric periodic potentials
• Optical mesh lattices with PT-symmetry
• Virtual Parity-Time Symmetry
• Exceptional Points in a Non-Hermitian Topological Pump
• Theory of reflectionless scattering modes
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Exceptional Point Dynamics in Photonic Honeycomb Lattices with PT Symmetry
• PT-symmetric optical potentials in a coherent atomic medium
• Parametric amplification and bidirectional invisibility in PT-symmetric time-Floquet systems
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Nonlinear modal interactions in parity-time ($\mathcal{P}\mathcal{T}$) symmetric lasers
• Exceptional points and lasing self-termination in photonic molecules
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• Tunneling of Obliquely-Incident Waves through PT-Symmetric Epsilon-Near-Zero Bi-Layers
• Fluctuating volume-current formulation of electromagnetic fluctuations in inhomogeneous media: incandecence and luminescence in arbitrary geometries
• Coherent perfect absorption in a homogeneously-broadened two-level medium
• Controlling photonic spin Hall effect via exceptional points
• Symmetry-protected zero-mode laser with a tunable spatial profile
• Breaking of PT-symmetry in bounded and unbounded scattering systems
• $\mathcal{P}\mathcal{T}$-symmetric microring laser-absorber
• Spectral and transport properties of time-periodic PT-symmetric tight-binding lattices
• Wave propagation through disordered media without backscattering and intensity variations
• $\mathcal{P}\mathcal{T}$-Symmetry-Induced Wave Confinement and Guiding in Epsilon-Near-Zero Metamaterials
• Hermitian four-well potential as a realization of a PT-symmetric system
• Consistency of PT-symmetric quantum mechanics
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Topological band theory for non-Hermitian systems from the Dirac equation
• Causality and phase transitions in PT-symmetrical optical systems
• Quantum noise and mode nonorthogonality in nonhermitian PT-symmetric optical resonators
• Classical Simulation of Relativistic Quantum Mechanics in Periodic Optical Structures
• Parity-time symmetry in a flat band system
• Parity-time symmetry in optical microcavity systems
• Dynamical Phonon Laser in Coupled Active-Passive Microresonators
• Unambiguous scattering matrix for non-Hermitian systems
• Supersymetric laser arrays
• Realizing PT-symmetric non-Hermiticity with ultra-cold atoms and Hermitian multi-well potentials
• Quasi-bound states in the continuum induced by $\mathcal{P}\mathcal{T}$-symmetry breaking
• Transport and spectral features in non-Hermitian open systems
• Simultaneous Realization of Coherent Perfect Absorber and Laser by Zero-Index Media with both Gain and Loss
• Quantum master equation with balanced gain and loss
• Achieving arbitrary polarization control using complex birefringent meta-materials
• $\mathcal{P}\mathcal{T}$-symmetric wave guide system with evidence of a third-order exceptional point
• PT Symmetry Breaking and Nonlinear Optical Isolation in Coupled Microcavities
• Vector exceptional points with strong superchiral fields
• Self-dual Spectral Singularities and Coherent Perfect Absorbing Lasers without PT-symmetry
• Coherently Enhanced Wireless Power Transfer
• Tunable elastic Parity-Time symmetric structure based on the shunted piezoelectric materials
• Time-reversed optical parametric oscillation
• Regularization of the spectral singularity in $\mathcal{P}\mathcal{T}$-symmetric systems by all order nonlinearities: Nonreciprocity and optical isolation
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Experimental demonstration of asymmetric diffraction based on a passive parity-time-symmetric acoustic grating
• Chiral metamaterials with PT symmetry and beyond
• Relativistic Non-Hermitian Quantum Mechanics
• Quasinormal modes and Purcell factors of coupled loss-gain resonators and index-modulated ring resonators near exceptional points
• Transfer matrix study of the Anderson transition in non-Hermitian systems
• Parity-time symmetry from stacking purely dielectric and magnetic slabs
• Exceptional points and spectral singularities in active epsilon-near-zero plasmonic waveguides
• Parity-Time Symmetric Coupled Microresonators with a Dispersive Gain/Loss
• Tunable nonlinear coherent perfect absorption with epsilon-near-zero plasmonic waveguides
• Anisotropic exceptional points of arbitrary order
• Coherent optical control of polarization with a critical metasurface
• Spectral Singularities of a Complex Spherical Barrier Potential and Their Optical Realization
• Transfer Matrices as Non-Unitary S-Matrices, Multimode Unidirectional Invisibility, and Perturbative Inverse Scattering
• Half-spectral unidirectional invisibility in non-Hermitian periodic optical structures
• $\mathcal{P}\mathcal{T}$-Symmetric Topological Edge-Gain Effect
• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• 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
• Mitigation of dynamical instabilities in laser arrays via non-Hermitian coupling
• Optical Spectral Singularities and Coherent Perfect Absorption in a Two-Layer Spherical Medium
• Direction-Dependent Parity-Time Phase Transition and Non-Reciprocal Directional Amplification with Dynamic Gain-Loss Modulation
• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• Nonlinear mode competition and symmetry-protected power oscillations in topological lasers
• Anyonic-parity-time symmetry in complex-coupled lasers
• Contrasting Spectral Signatures and Sensitivities of CPA-Lasing in a $\mathcal{P}\mathcal{T}$-Symmetric Periodic Structure
• From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
• 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
• Perturbation Theory in the Complex Plane: Exceptional Points and Where to Find Them
• Spectral Singularities and Whispering Gallery Modes of a Cylindrical Gain Medium
• Ordinary versus PT-symmetric ${\varphi }^3$ quantum field theory
• Quantum Simulation of the Bosonic Kitaev Chain
• Transmission zeros and ultrasensitive detection in complex systems
• Gain/loss induced localization in one-dimensional PT-symmetric tight-binding models
• Invisible defects in complex crystals
• Non-Hermitian Stark Many-Body Localization
• Stability Through Asymmetry: Modulationally Stable Nonlinear Supermodes of Asymmetric non-Hermitian Optical Couplers
• PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability
• Non-adiabatic Modal Dynamics around Exceptional Points in an All-Lossy Dual-Mode Optical Waveguide: Towards Chirality Driven Asymmetric Mode-Conversion
• Entanglement enhanced and one-way steering in PT -symmetric cavity magnomechanics
• Unified theory of resonances and bound states in the continuum in Hermitian tight-binding models
• Tilted optical lattices with defects as realizations of PT symmetry in Bose-Einstein condensates
• Statistical PT-symmetric lasing in an optical fiber network
• Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system
• Type II Perfect Absorption and Amplification Modes with Controllable Bandwidth in PT-Symmetric/Traditional Bragg Grating Combined Structures
• Angle-Resolved Thermal Emission Spectroscopy Characterization of Non-Hermitian Meta-Crystals
• Spontaneous $\mathcal{T}$-symmetry breaking and exceptional points in cavity quantum electrodynamics systems
• Quantum Zeno effect and nonclassicality in a PT symmetric system of coupled cavities
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Experimental demonstration of coherence flow in $\mathcal{P}\mathcal{T}$- and anti-$\mathcal{P}\mathcal{T}$-symmetric systems
• Parametric instability of non-Hermitian systems near the exceptional point
• Asymmetric lasing at spectral singularities
• Quantum catastrophes: a case study
• Coherent perfect absorption in a weakly coupled atom-cavity system
• Acoustic amplifying diode using non-reciprocal Willis coupling
• Symmetry in optics and photonics: a group theory approach
• CPA-Lasing in Thin-Elastic Plates via Exceptional Points
• Directionality Fields generated by a Local Hilbert Transform
• Symmetry recovery of exceptional points and their dynamical encircling in a two-state system
• $\mathcal{P}\mathcal{T}$ phase control in circular multicore fibers
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Generalized Berry phase for a bosonic Bogoliubov system with exceptional points
• Non-Hermitian interferometer: Unidirectional amplification without distortion
• Multiple quantum wells for PT-symmetric phononic crystals
• Angular-asymmetric transmitting metasurface and splitter for acoustic wave: a combining of the Coherent Perfect Absorber and Laser
• Scattering Experiments with Microwave Billiards at an Exceptional Point under Broken Time Reversal Invariance
• Exact analogue of the Hatano-Nelson model in 1D continuous nonreciprocal systems
• Solitons in PT-symmetric ladders of optical waveguides
• PT-symmetric chiral metamaterials: Asymmetric effects and PT-phase control
• Toward Heisenberg Scaling in Non-Hermitian Metrology at the Quantum Regime
• Collisional Dynamics of Solitons in the Coupled PT symmetric Nonlocal nonlinear Schrodinger equations
• Wavepacket Self-imaging and Giant Recombinations via Stable Bloch-Zener Oscillations in Photonic Lattices with Local $\mathcal{P}\mathcal{T}$-Symmetry
• Perturbative Analysis of Spectral Singularities and Their Optical Realizations
• Unidirectional Reflectionless Transmission for Two-Dimensional $\mathcal{P}\mathcal{T}$-symmetric Periodic Structures
• Kelvin-Helmholtz instability is the result of parity-time symmetry breaking
• Exceptional points as lasing pre-thresholds in open-cavity lasers
• Optical Reciprocity Induced Symmetry of the Scattering Eigenstates in Non-$\mathcal{P}\mathcal{T}$-Symmetric Heterostructures
• Nonreciprocal transmission of electromagnetic waves with nonlinear active plasmonic metasurfaces
• Non-Hermitian dynamics of slowly-varying Hamiltonians
• Acoustic Multifunctional Logic Gates and Amplifier based on Passive Parity-Time Symmetry
• Relativistic PT-symmetric fermionic theories in 1+1 and 3+1 dimensions
• $\mathcal{P}\mathcal{T}$ symmetry breaking in waveguide arrays with competing loss/gain pairs
• Topological cascade laser for frequency comb generation in $\mathcal{P}\mathcal{T}$-symmetric structures
• Invariant currents and scattering off locally symmetric potential landscapes
• Topological Microlaser with A non-Hermitian Topological Bulk
• Scattering properties of PT-symmetric objects
• PT-Symmetric Representations of Fermionic Algebras
• Scattering invisibility with free-space field enhancement of all-dielectric nanoparticles
• Pseudo-chirality: a manifestation of Noether's theorem in non-Hermitian systems
• Various Scattering Properties of a New PT-symmetric non-Hermitian potential
• Shape-preserving beam transmission through non-Hermitian disordered lattices
• Anomalous-order exceptional point and non-Markovian Purcell effect at threshold in one-dimensional continuum systems
• Scattering-free pulse propagation through invisible non-Hermitian disorder
• Coherent perfect absorber and laser in purely imaginary conjugate metamaterials
• Unidirectional zero reflection as gauged parity-time symmetry
• Localized Single Frequency Lasing States in a Finite Parity-Time Symmetric Resonator Chain
• Coherent virtual absorption for discretized light
• Pseudo-Hermiticity protects the energy-difference conservation in the scattering
• Realizing PT-symmetric BEC subsystems in closed hermitian systems
• PT-symmetric spectral singularity and negative frequency resonance
• Continuous-variable entanglement generated with a hybrid PT-symmetric system
• Emitter and absorber assembly for multiple self-dual operation and directional transparency
• Magnified imaging based on non-Hermitian nonlocal cylindrical metasurfaces
• Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems
• Coherent Perfect Rotation
• Information and thermodynamic properties of a non-Hermitian particle ensemble
• Designing lasing and perfectly absorbing potentials
• Anomalous Parity-Time Symmetry Transition away from an Exceptional Point
• Spectral singularities of odd-$PT$-symmetric potential
• Piecewise Adiabatic Following in Non-Hermitian Cycling
• CPA-laser effect and exceptional points in PT-symmetric multilayer structures
• Non-Hermiticity-Induced Wave Confinement and Guiding in Loss-Gain-Loss Three-Layer Systems
• Eigenvalue dynamics in the presence of non-uniform gain and loss
• Quantum-statistical approach to electromagnetic wave propagation and dissipation inside dielectric media and nanophotonic and plasmonic waveguides
• Ultrasensitive Higher-Order Exceptional Points via Non-Hermitian Zero-Index Materials
• Scattering of partially coherent radiation by non-Hermitian localized structures having Parity-Time symmetry
• Nonlocal discrete continuity and invariant currents in locally symmetric effective Schrödinger arrays
• Nonlinear Landauer formula: Nonlinear response theory of disordered and topological materials
• Systematic pathway to $\mathcal{P}\mathcal{T}$ symmetry breaking in scattering systems
• PT-symmetric optical superlattices
• Symmetry-protected localized states at defects in non-Hermitian systems
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Coherent perfect absorber and laser for nonlinear waves in optical waveguide arrays
• Exotic entanglement for non-Hermitian Jaynes-Cummings Hamiltonians
• Experimental Observation of Partial Parity-Time Symmetry and Its Phase Transition with a Laser-Driven Cesium Atomic Gas
• Peregrine rogue waves in the nonlocal nonlinear Schrödinger equation with parity-time symmetric self-induced potential
• 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
• $\mathcal{P}\mathcal{T}$ symmetry breaking for the scattering problem in a one-dimensional non-Hermitian lattice model
• Bifurcations and exceptional points in a PT-symmetric dipolar Bose-Einstein condensate
• Chirality sensing employing PT-symmetric and other resonant gain-loss optical systems
• Parity-time-symmetric closed form optical quadrimer waveguides
• Quantum state discrimination in a PT-symmetric system
• Point Interactions, Metamaterials, and PT-Symmetry
• PT phase transition in multidimensional quantum systems
• Gain-Loss Coupled Systems
• Nonlinear currents in a ring-shaped waveguide with balanced gain and dissipation
• Coherent perfect absorption and laser modes in a cylindrical structure of conjugate metamaterials
• Shock-induced $\mathcal{P}\mathcal{T}$-symmetric potentials in gas-filled photonic crystal fibers
• Laser Mode Bifurcations Induced by $\mathcal{P}\mathcal{T}$-Breaking Exceptional Points
• High-order spectral singularity
• Stable Bloch oscillations and Landau-Zener tunneling in a non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric flat band lattice
• Accessible phases via wave impedance engineering with PT-symmetric metamaterials
• Restricted Hilbert transform for non-Hermitian management of fields
• PT-symmetry breaking in resonant tunneling heterostructures
• Coherent perfect absorption with and without lasing in complex potentials
• Quantum transport in non-Hermitian impurity array
• Amplified and directional spontaneous emission from arbitrary composite bodies: self-consistent treatment of Purcell effect below threshold
• Nonhermitian defect states from lifetime differences
• Physics of PT-Symmetric Quantum Systems at Finite Temperature
• Accidental crossings of eigenvalues in one-dimensional complex PT-symmetric Scarf-II potential
• A new solvable complex PT-symmetric potential
• Integrable nonlinear parity-time symmetric optical oscillator
• Generalized Parametric Space, Parity Symmetry of Reflection, and Systematic Design Approach for Parity-Time Symmetric Photonic Systems
• Quantum deleting and cloning in a pseudo-unitary system
• 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
• The particle in a box in PT quantum mechanics and an electromagnetic analog
• CPT-Frames for PT-symmetric Hamiltonians
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Adiabatic Approximation, Semiclassical Scattering, and Unidirectional Invisibility
• The combination of directional outputs and single-mode operation in circular microdisk with broken PT symmetry
• Realization of $\mathcal{P}\mathcal{T}$-symmetric and $\mathcal{P}\mathcal{T}$-symmetry broken states in static optical lattice potentials
• Parity-Time Symmetry Breaking beyond One Dimension: The Role of Degeneracy
• A possible method for non-Hermitian and non-$PT$-symmetric Hamiltonian systems
• Theory and Numerical Modelling of Parity-Time Symmetric Structures in Photonics: Introduction and Grating Structures in One Dimension
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Constructing the scattering matrix for optical microcavities as a nonlocal boundary value problem
• Random-matrix theory of amplifying and absorbing resonators with PT or PTT' symmetry
• Structure and Symmetry in Coherent Perfect Polarization Rotation
• Tachyonic Dispersion in Coherent Networks
• Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system
• Optical fluxes in coupled $\mathcal{P}\mathcal{T}$-symmetric photonic structures
• Nonlinear Parity-Time (PT) symmetric closed-form optical quadrimer waveguides: Attractor perspective
• Study on Asymmetric Diffraction of Acoustic Parity-Time-Symmetric Gratings Using Rigorous Coupled-Wave Analysis
• Analysis of Dirac exceptional points and their isospectral Hermitian counterparts
• Negative-energy PT-symmetric Hamiltonians
• Two-dimensional phase-space picture of the photonic crystal Fano laser
• Effects of non-uniform distributions of gain and loss in photonic crystals
• $\mathcal{P}\mathcal{T}$-Symmetry in Hartree-Fock Theory
• Surface plasmon-polaritons in graphene, embedded into medium with gain and losses
• Parity and Time Reversal Symmetry in Hanbury Brown-Twiss Effect
• Coherent scattering from semi-infinite non-Hermitian potentials
• Robust incoherent perfect absorption
• Low-frequency scattering defined by the Helmholtz equation in one dimension
• Parity-time-symmetric coupled microring lasers operating around an exceptional point
• Overcoming the diffraction limit on the size of dielectric resonators using an amplifying medium
• Parity-Time Synthetic Laser
• Spacing gain and absorption in a simple $\mathcal{P}\mathcal{T}$-symmetric model: spectral singularities and ladders of eigenvalues and resonances
• Generalized continuity equations from two-field Schrödinger Lagrangians
• Exceptional points in parity-time symmetric plasmonic Huygens metasurfaces
• Stabilization of self-steepening optical solitons in a periodic PT-symmetric potential
• Topological Singularities in Metasurface Scattering Matrices: From Nodal Lines to Exceptional Lines
• Born-Padé approach to electromagnetic scattering in complex one-dimensional inhomogeneous slabs
• Time-reversal invariant scaling of light propagation in one-dimensional non-Hermitian systems
• Universal spectral behavior of $x^2(ix{)}^{\epsilon }$ potentials
• Parity-Time Symmetry and Exceptional points: A Tutorial
• Balanced gain and loss in spatially extended non-$\mathcal{P}\mathcal{T}$-symmetric multi-well potentials
• Scattering Theory and $\mathcal{P}\mathcal{T}$-Symmetry
• Exceptional points in cylindrical elastic media with radiation loss
• Enhancement of signal-to-noise ratio at a high-order exceptional point of coherent perfect absorption
• The Effect of non-Hermiticity on Adiabatic Elimination
• Generalized Surface Polaritons and their quantum spin Hall effect
• PT symmetry as a necessary and sufficient condition for unitary time evolution
• Imaginary spin-orbital coupling in parity-time symmetric systems with momentum-dependent gain and loss
• Superoscillatory PT-symmetric potentials
• Controlling wave-front shape and propagation time with tunable disordered non-Hermitian multilayers
• Electrically Tunable and Reconfigurable Topological Edge State Lasers
• Electrical tunability due to coalescence of exceptional points in parity-time symmetric waveguides
• Double-sided unidirectional reflectivity
• A universal form of arrays with spectral singularities
• Acoustic response in a a one-dimensional layered pseudo-Hermitian metamaterial containing defects
• Non-Hermitian tearing by dissipation
• Temporal Parity-Time Symmetry for Extreme Energy Transformations
• Analytic approximation for eigenvalues of a class of $\mathcal{P}\mathcal{T}$ symmetric Hamiltonians
• Resonant scattering of two-dimensional honeycomb PT dipole structure
• Oblique scattering from non-Hermitian optical waveguides
• PT-symmetric transport in non-PT-symmetric bi-layer optical arrays
• Chiral-reversing vortex radiation from a single emitter by eigenstates phase locking
• Scattering in a varying mass PT symmetric double heterojunction
• High-Order Perfect Absorption in the Absence of Exceptional Point
• Electromagnetic Eigenvalue Problems and Nonhermitian Effects in Linear and Saturable Scattering
• Non-Hermitian physics and engineering in silicon photonics
• Effective size of a parity-time symmetric dimer
• Apodized photonic crystals: A non-dissipative system hosting multiple exceptional points
• Engineering wavefront caustics trajectories in $\mathcal{P}\mathcal{T}$-symmetric lattices
• Scattering symmetry of diffusive systems
• S and Q Matrices Reloaded: applications to open, inhomogeneous, and complex cavities
• Spectral singularity in composite systems and simulation of a resonant lasing cavity
• Singularities of Floquet Scattering and Tunneling
• Contact interactions and Kronig-Penney Models in Hermitian and PT-symmetric Quantum Mechanics
• Non-adiabatic transitions in parabolic and super-parabolic $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian systems
• Interaction induced non-reciprocal three-level quantum transport
• Epsilon-near-zero plasmonic waveguides to enhance nonlinear coherent light-matter interactions
• Time evolution and adiabatic approximation in $PT$-symmetric quantum mechanics
• A Hermitian bypass to the non-Hermitian quantum theory
• Scattering by a collection of $\delta$-function point and parallel line defects in two dimensions
• Loss-driven gain enhancements driven by topological singularities in non-Hermitian photonic crystals defects
• Time-reversed wave mixing in nonlinear optics
• Protecting coherence in the non-Hermitian two-level system
• Computation and Verification of Spectra for Non-Hermitian Systems
• Exploring Metamaterial Lasers through Non-Hermitian Scattering Formalism
• An update on coherent scattering from complex non-PT-symmetric Scarf II potential with new analytic forms
• A non-trivial PT-symmetric continuum Hamiltonian and its Eigenstates and Eigenvalues
• Scattering Dynamics and Boundary States of a Non-Hermitian Dirac Equation
• Superdirective Leaky Radiation from a PT-Synthetic Metachannel
• Characteristic determinant approach to the spectrum of one-dimensional $\mathcal{P}\mathcal{T}$-symmetric systems
• Solitonic dynamics and excitations of the nonlinear Schrodinger equation with third-order dispersion in non-Hermitian PT-symmetric potentials
• The Control of the Oscillation Threshold with Asymmetric Gain in Operational Amplifiers
• Robust photon transmission in nonlinear parity-time-symmetric cavities
• Balancing gain and loss in symmetrised multi-well potentials
• High-speed and single-mode FP laser based on parity-time symmetry
• Parity-Time Symmetry Breaking in Coupled Nanobeam Cavities
• Invisibility and PT Symmetry: A Simple Geometrical Viewpoint
• Genetic optimization Invents non-Hermitian potentials for Asymmetric Reflectivity
• Analytical construction of soliton families in one- and two-dimensional nonlinear Schrödinger equations with non-parity-time-symmetric complex potentials
• Beyond characteristic equations: A unified one-dimensional non-Bloch band theory via wavefunction data
• Quantization of pseudo-hermitian systems
• Generalized Parity-Time Symmetry Condition for Enhanced Sensor Telemetry
• Optical symmetric pushing, uni-/bi-directional null, and pulling-pushing flipped forces in one dimensional PT-symmetric photonics
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• The dynamical problem for a non self-adjoint Hamiltonian
• Non-Hermitian Gravitational Wave Scattering
• Unidirectional weak visibility in band gap and singular scattering in conduction band of one-dimensional parity-time symmetric photonic crystal