Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry

Abstract

We show that topologically protected defect states can exist in open (leaky or lossy) systems even when these systems are topologically trivial in the closed limit. The states appear from within the continuum, thus in absence of a band gap, and are generated via exceptional points (a spectral transition that occurs in open wave and quantum systems with a generalized time-reversal symmetry), or via a degeneracy induced by charge-conjugation-symmetry (which is related to the pole transition of Majorana zero modes). We demonstrate these findings for a leaking passive coupled-resonator optical waveguide with asymmmetric internal scattering, where the required symmetries (non-hermitian versions of time-reversal symmetry, chirality and charge-conjugation) emerge dynamically.

4++ pages

References in corpus (16)

• Topological Photonics
• Making Sense of Non-Hermitian Hamiltonians
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• The physics of exceptional points
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Analogs of quantum Hall effect edge states in photonic crystals
• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Topological Transition in a Non-Hermitian Quantum Walk
• Topologically Robust Transport of Photons in a Synthetic Gauge Field
• Asymmetric scattering and non-orthogonal mode patterns in optical micro-spirals
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• Nonhermitian transport effects in coupled-resonator optical waveguides
• Excess quantum noise due to mode nonorthogonality in dielectric microresonators
• PT-symmetry breaking and universal chirality in a PT-symmetric ring

Cited by in corpus (222)

• Topological Photonics
• Topological Photonics
• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological phases 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
• Anomalous edge state in a non-Hermitian lattice
• Non-Hermitian Chern bands
• Anatomy of skin modes and topology in non-Hermitian systems
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Non-reciprocal phase transitions
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Second-Order Topological Phases in Non-Hermitian Systems
• Non-Hermitian Topological Invariants in Real Space
• Topological Hybrid Silicon Microlasers
• Classification of Exceptional Points and Non-Hermitian Topological Semimetals
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
• Higher-order non-Hermitian skin effect
• New topological invariants in non-Hermitian systems
• Observation of higher-order non-Hermitian skin effect
• Topological Non-Hermitian skin effect
• Non-Hermitian Many-Body Localization
• Photonic Topological Insulating Phase Induced Solely by Gain and Loss
• Higher-order topological corner states induced by gain and loss
• Active topological photonics
• Topological states of non-Hermitian systems
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence
• Symmetry-protected nodal phases in non-Hermitian systems
• Topological photonic crystal nanocavity laser
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Non-Hermitian systems and topology: A transfer-matrix perspective
• Knots and Non-Hermitian Bloch Bands
• Topological Phases in Non-Hermitian Aubry-André-Harper Models
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Parity-time-symmetric topological superconductor
• Exceptional Links and Twisted Fermi Ribbons in non-Hermitian Systems
• Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
• Skin effect and winding number in disordered non-Hermitian systems
• Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges
• Topological phases and edge states in a non-Hermitian trimerized optical lattice
• Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
• The effects of retardation on the topological plasmonic chain: plasmonic edge states beyond the quasistatic limit
• Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
• Knotted Non-Hermitian Metals
• Non-Hermitian Topological Anderson Insulators
• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry
• Non-Hermitian gauged topological laser arrays
• Hall Conductance of a Non-Hermitian Chern Insulator
• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
• Non-Hermitian second-order skin and topological modes
• Many-body localization in a non-Hermitian quasi-periodic system
• Defect states emerging from a non-Hermitian flat band of photonic zero modes
• Localization and topological transitions in non-Hermitian quasiperiodic lattices
• Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
• Observation of topological transport quantization by dissipation in fast Thouless pumps
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• Anomalous single-mode lasing induced by nonlinearity and the non-Hermitian skin effect
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Many-body approach to non-Hermitian physics in fermionic systems
• Exceptional Topological Insulators
• Topological quantum phase transitions retrieved through unsupervised machine learning
• Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
• Symmetry-protected zero-mode laser with a tunable spatial profile
• Topological classification of non-Hermitian bands
• Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
• Electric circuits for non-Hermitian Chern insulators
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Knot topology of exceptional point and non-Hermitian no-go theorem
• Parity-time symmetry in optical microcavity systems
• Effects of Non-Hermiticity on Su-Schrieffer-Heeger Defect States
• Topological phases in ring resonators: recent progress and future prospects
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension
• Symmetry protected topological phases characterized by isolated exceptional points
• Non-Hermitian lattices with a flat band and polynomial power increase
• Topological Phase Transition Independent of System Non-Hermiticity
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Transfer matrix study of the Anderson transition in non-Hermitian systems
• Non-Hermitian Floquet Topological Matter -- A Review
• Exceptional points and the topology of quantum many-body spectra
• Dissipative Floquet Dynamical Quantum Phase Transition
• Dynamic winding number for exploring band topology
• Photonic corner skin modes
• Disorder-induced exceptional points and nodal lines in Dirac superconductors
• Non-Hermitian bidirectional robust transport
• $\mathcal{P}\mathcal{T}$-Symmetric Topological Edge-Gain Effect
• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• Fate of zero modes in a finite Su-Schrieffer-Heeger Model with $\mathcal{P}\mathcal{T}$ Symmetry
• Topological instabilities in ac-driven bosonic systems
• Non-Hermitian Aubry-André model with Power-Law Hopping
• Non-Hermitian Majorana modes protect degenerate steady states
• Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems
• Direction-Dependent Parity-Time Phase Transition and Non-Reciprocal Directional Amplification with Dynamic Gain-Loss Modulation
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Symmetry and topological classification of Floquet non-Hermitian systems
• Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
• Nonlinear mode competition and symmetry-protected power oscillations in topological lasers
• Bulk-boundary correspondence in point-gap topological phases
• Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling
• Machine learning topological invariants of non-Hermitian systems
• Connections between the Open-boundary Spectrum and Generalized Brillouin Zone in Non-Hermitian Systems
• Inversion symmetric non-Hermitian Chern insulator
• Realization and application of parity-time-symmetric oscillators in quantum regime
• Non-Hermitian topology in monitored quantum circuits
• Topological energy braiding of the non-Bloch bands
• Entanglement Spectrum Crossings Reveal non-Hermitian Dynamical Topology
• Flat band in two-dimensional non-Hermitian optical lattices
• Partial topological Zak phase and dynamical confinement in non-Hermitian bipartite system
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Entanglement Entropy of Non-Hermitian Free Fermions
• Diabolical Points in Coupled Active Cavities with Quantum Emitters
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
• Topological dynamics and excitations in lasers and condensates with saturable gain or loss
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• General corner states in 2D SSH model with intracelluar next-nearest-neighbour hopping
• Level statistics of extended states in random non-Hermitian Hamiltonians
• Unraveling the topology of dissipative quantum systems
• The topological counterparts of non-Hermitian SSH models
• Real spectra in non-Hermitian topological insulators
• Diagnosis of bulk phase diagram of non-reciprocal topological lattices by impurity modes
• Bound states and photon emission in non-Hermitian nanophotonics
• $\mathcal{P}\mathcal{T}$ symmetry and anti-symmetry by anti-Hermitian wave coupling and nonlinear optical interactions
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Imaginary couplings in non-Hermitian coupled-mode theory: Effects on exceptional points of optical resonators
• Anderson localization transitions in disordered non-Hermitian systems with exceptional points
• Topological enhancement of non-normality in non-Hermitian skin effects
• Flat band induced by the interplay of synthetic magnetic flux and non-Hermiticity
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Topological Protection of Coherence in a Dissipative Environment
• The Nielsen-Ninomiya theorem, PT-invariant non-Hermiticity and single 8-shaped Dirac cone
• Skin effect and dynamical delocalization in non-Hermitian quasicrystals with spin-orbit interaction
• Chiral symmetry in non-Hermitian systems: product rule and Clifford algebra
• Pseudo-chirality: a manifestation of Noether's theorem in non-Hermitian systems
• Bulk-edge correspondence in nonunitary Floquet systems with chiral symmetry
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Non-Hermitian CT-Symmetric Spectral Protection of Nonlinear Defect Modes
• Chiral state transfer under dephasing
• New perspective on chiral exceptional points with application to discrete photonics
• Non-Hermitian non-Abelian topological insulators with $PT$ symmetry
• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
• Localized states and skin effect around non-Hermitian impurities in tight-binding models
• Real spectra, Anderson localization, and topological phases in one-dimensional quasireciprocal systems
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Waveguide photonic limiters based on topologically protected resonant modes
• Symmetry-protected localized states at defects in non-Hermitian systems
• Exceptional point induced lasing dynamics in a non-Hermitian system
• Non-Hermitian topological phase transitions for quantum spin Hall insulators
• $\mathcal{P}\mathcal{T}$ symmetry of the Su-Schrieffer-Heeger model with imaginary boundary potentials and next-nearest-neighboring coupling
• Kramers' degeneracy for open systems in thermal equilibrium
• Extension of Noether's theorem in PT-symmetric systems and its experimental demonstration in an optical setup
• Robust zero modes in non-Hermitian systems without global symmetries
• Topology of multiple cross-linked Su-Schrieffer-Heeger chains
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Wide-range-tunable Dirac-cone band structure in a chiral-time-symmetric non-Hermitian system
• Nontrivial worldline winding in non-Hermitian quantum systems
• Nonhermitian defect states from lifetime differences
• Uniform response theory of non-Hermitian systems: Non-Hermitian physics beyond the exceptional point
• Constraints of internal symmetry on the non-Hermitian skin effect and bidirectional skin effect under the action of the Hermitian conjugate of time-reversal symmetry
• Symmetry-Protected Topological Phase for Spin-Tensor-Momentum-Coupled Ultracold Atoms
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
• Analysis of Dirac exceptional points and their isospectral Hermitian counterparts
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• Complex semiclassical theory for non-Hermitian quantum systems
• PC-symmetry-protected edge states in interacting driven-dissipative bosonic systems
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
• Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Defective Edge states and Anomalous Bulk-boundary Correspondence for Topological Insulators under Non-Hermitian Similarity Transformation
• Local random vector model for semiclassical fractal structure of chaotic resonance states
• Corner modes in non-Hermitian next-nearest-neighbor hopping model
• Multiple topological transitions and spectral singularities in non-Hermitian Floquet systems
• Topological properties of a class of generalized Su-Schrieffer-Heeger networks: chains and meshes
• Emergent localized states at the interface of a twofold $\mathcal{P}\mathcal{T}$-symmetric lattice
• Impact of non-Hermitian Mode interaction on Inter-cavity Light transfer
• The Quantum Skin Hall Effect
• Origin of robust exceptional points: a restricted bulk zero mode
• Machine learning of mirror skin effects in the presence of disorder
• The Effect of non-Hermiticity on Adiabatic Elimination
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Relative Entropy as a Measure of Difference Between Hermitian and Non-Hermitian Systems
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• Ring-Frustrated Non-Hermitian $XY$ Model
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Bloch oscillations in a Bose-Hubbard chain with single-particle losses
• Topological parafermion corner states in clock-symmetric non-Hermitian second-order topological insulator
• Lasing in para-Fermi class-B microring resonator arrays
• Fragmented exceptional points and their bulk and edge realizations in lattice models
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Can a photonic thermalization gap arise in disordered non-Hermitian Hamiltonian systems?
• Non-Hermitian Hopf insulators
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Effective size of a parity-time symmetric dimer
• Stronger sum uncertainty relations for non-Hermitian operators
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• Insight of the Green's function as a defect state in a boundary value problem
• Topological phase transition and its stability against an applied magnetic field in a class of low dimensional decorated lattices
• Robust interface-state laser in non-Hermitian micro-resonator arrays
• Periodic dynamics in an Ising chain with a quadratic transverse field
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Algebraic States in Continuum in $d>1$ Dimensional Non-Hermitian Systems
• Seeing Topological Order and Band Inversion in Optical Diatomic Chain
• Beyond characteristic equations: A unified one-dimensional non-Bloch band theory via wavefunction data
• Nonreciprocal flow of fluctuations, populations and correlations between doubly coupled bosonic modes
• Light confinement by local index tailoring in inhomogeneous dielectrics
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• Microwave limiters implemented by coupled dielectric resonators based on a topological defect mode and CT-symmetry breaking
• Simulating monitoring-induced topological phase transitions with small systems