Anomalous edge state in a non-Hermitian lattice

Abstract

We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is described by a non-Hermitian Hamiltonian that encircles an exceptional point in momentum space. The winding number has a fractional value of 1/2. There is only one dynamically stable zero-energy edge state due to the defectiveness of the Hamiltonian. This edge state is robust to disorder due to protection by a chiral symmetry. We also discuss experimental realization with arrays of coupled resonator optical waveguides.

5 pages + appendix

References in corpus (23)

• Topological Insulators
• Topological insulators and superconductors
• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Photonic Floquet Topological Insulators
• Robust optical delay lines via topological protection
• The physics of exceptional points
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Topological Acoustics
• Topological States and Adiabatic Pumping in Quasicrystals
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Spawning rings of exceptional points out of Dirac cones
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
• Topology by Dissipation in Atomic Quantum Wires
• Edge states and topological phases in non-Hermitian systems
• Topological Transition in a Non-Hermitian Quantum Walk
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Majorana bound states from exceptional points in non-topological superconductors
• Absence of topological insulator phases in non-Hermitian PT-symmetric Hamiltonians
• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• General description of quasi-adiabatic dynamical phenomena near exceptional points
• Boundary Fidelity and Entanglement in the symmetry protected topological phase of the SSH model

Cited by in corpus (695)

• 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
• Topological Band Theory for Non-Hermitian Hamiltonians
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Chern bands
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Anatomy of skin modes and topology in non-Hermitian systems
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• 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
• Critical non-Hermitian Skin Effect
• Topological phase transition in non-Hermitian quasicrystals
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Universal non-Hermitian skin effect in two and higher dimensions
• Non-Hermitian Topological Sensors
• Classification of Exceptional Points and Non-Hermitian Topological Semimetals
• Reciprocal skin effect and its realization in a topolectrical circuit
• Non-Hermitian topological phenomena: A review
• 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
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• Higher-order non-Hermitian skin effect
• Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
• New topological invariants in non-Hermitian systems
• Experimental realization of a Weyl exceptional ring
• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• Observation of arbitrary topological windings of a non-Hermitian band
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Topological Non-Hermitian skin effect
• 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
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence
• Symmetry-protected nodal phases in non-Hermitian systems
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
• Exponentially-enhanced quantum sensing with non-Hermitian lattice dynamics
• Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Symmetry and Higher-Order Exceptional Points
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Non-Hermitian systems and topology: A transfer-matrix perspective
• Knots and Non-Hermitian Bloch Bands
• Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
• Topological Phases in Non-Hermitian Aubry-André-Harper Models
• Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Non-Hermitian route to higher-order topology in an acoustic crystal
• Parity-time-symmetric topological superconductor
• Entanglement spectrum and entropy in topological non-Hermitian systems and non-unitary conformal field theories
• Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization
• Perspective on topological states of non-Hermitian lattices
• Non-Bloch band collapse and chiral Zener tunneling
• Exceptional Links and Twisted Fermi Ribbons in non-Hermitian Systems
• Observation of non-Hermitian topological Anderson insulator in quantum dynamics
• 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
• Non-Hermitian Edge Burst
• Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
• Edge states in trimer lattices
• Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• Knotted Non-Hermitian Metals
• Dynamical quantum phase transitions in non-Hermitian lattices
• Non-Hermitian mobility edges in one-dimensional quasicrystals with parity-time symmetry
• 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
• Fermion doubling theorems in 2D non-Hermitian systems for Fermi points and exceptional points
• Non-Hermitian Linear Response Theory
• Hall Conductance of a Non-Hermitian Chern Insulator
• Generalized bulk-edge correspondence for non-hermitian topological systems
• Non-Hermitian Dirac Cones
• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
• Nonunitary Scaling Theory of Non-Hermitian Localization
• Topological classification of non-Hermitian systems with reflection symmetry
• Floquet Topological Phases of Non-Hermitian Systems
• Mirror skin effect and its electric circuit simulation
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Non-Hermitian second-order skin and topological modes
• Exceptional rings protected by emergent symmetry for mechanical systems
• Emergent Fermi surface in a many-body non-Hermitian Fermionic chain
• Topological quantum wires with balanced gain and loss
• Non-Hermitian exceptional Landau quantization in electric circuits
• Localization and topological transitions in non-Hermitian quasiperiodic lattices
• Many-body topology of non-Hermitian systems
• Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models
• Topological symmetry classes for non-Hermitian models and connections to the bosonic Bogoliubov-de Gennes equation
• Helical damping and anomalous critical non-Hermitian skin effect
• Exceptional Points in a Non-Hermitian Topological Pump
• Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
• Observation of topological transport quantization by dissipation in fast Thouless pumps
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
• Topological quantum walks in momentum space with a Bose-Einstein condensate
• Dynamics and topology of non-Hermitian elastic lattices with non-local feedback control interactions
• 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
• Non-Hermitian dynamics without dissipation in quantum systems
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Exceptional points in topological edge spectrum of PT symmetric domain walls
• Unsupervised Manifold Clustering of Topological Phononics
• Topological Field Theory of Non-Hermitian Systems
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• Non-equilibrium stationary states of quantum non-Hermitian lattice models
• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
• Defective Edge States and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
• Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
• Observation of non-Hermitian topology with non-unitary dynamics of solid-state spins
• Geometric classification of non-Hermitian topological systems through the singularity ring
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Topological Amplification in Photonic Lattices
• Chiral state-conversion without encircling an exceptional point
• Many-Body Topological and Skin States without Open Boundaries
• Topological classification of defects in non-Hermitian systems
• Topological classification of non-Hermitian bands
• Symmetry classes of open fermionic quantum matter
• Boundary-dependent Self-dualities, Winding Numbers and Asymmetrical Localization in non-Hermitian Quasicrystals
• Non-Hermitian skin effect and self-acceleration
• Liouvillian Skin Effect in an Exactly Solvable Model
• Non-Hermitian skin clusters from strong interactions
• Engineering tunable local loss in a synthetic lattice of momentum states
• Exceptional Bound States and negative Entanglement Entropy
• Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
• Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
• Nonlinearity induced topological physics in momentum space and real space
• Exceptional points and enhanced sensitivity in PT-symmetric continuous elastic media
• Theory of superconductivity with non-Hermitian and parity-time reversal symmetric cooper pairing symmetry
• Topological band theory for non-Hermitian systems from the Dirac equation
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Realizing exceptional points of any order in the presence of symmetry
• Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
• Topological phases and nonreciprocal edge states in non-Hermitian Floquet Insulators
• Exceptional Spin Liquids from Couplings to the Environment
• Magnetic suppression of non-Hermitian skin effects
• Anomalous Floquet non-Hermitian skin effect in a ring resonator lattice
• Anomalous topological edge states in non-Hermitian piezophononic media
• Effects of Non-Hermiticity on Su-Schrieffer-Heeger Defect States
• Fate of the non-Hermitian skin effect in many-body fermionic systems
• Non-Bloch $\mathcal{P}\mathcal{T}$ symmetry breaking in non-Hermitian Photonic Quantum Walks
• Dislocation Non-Hermitian Skin Effect
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Higher-Order Weyl-Exceptional-Ring Semimetals
• Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Probing one-dimensional topological phases in waveguide lattices with broken chiral symmetry
• Detecting non-Bloch topological invariants in quantum dynamics
• The Kibble-Zurek mechanism at exceptional points
• Room temperature electrically pumped topological insulator lasers
• Unifying the Anderson Transitions in Hermitian and Non-Hermitian Systems
• Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension
• Non-Hermitian skin effect beyond the tight-binding models
• Non-Hermitian Photonic Lattices: tutorial
• Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems
• Accumulation of scale-free localized states induced by local non-Hermiticity
• Floquet engineering of point-gapped topological superconductors
• Fate of Majorana zero modes, critical states and non-conventional real-complex transition in non-Hermitian quasiperiodic lattices
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Floquet second-order topological insulators in non-Hermitian systems
• Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
• Anomalous Topological Active Matter
• Finite-size effects in non-Hermitian topological systems
• Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Symmetry protected topological phases characterized by isolated exceptional points
• Topological phonon polaritons in one-dimensional non-Hermitian nanoparticle chains
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Topological Phase Transition Independent of System Non-Hermiticity
• Non-Hermitian skin effect as an impurity problem
• Topological photonic states in one-dimensional dimerized ultracold atomic chains
• $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian Dirac semimetals
• Non-Hermitian skin effect of dislocations and its topological origin
• Topology and Observables of the Non-Hermitian Chern Insulator
• Non-Hermitian waves in a continuous periodic model and application to photonic crystals
• Engineering Non-Hermitian Skin Effect with Band Topology in Ultracold Gases
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Transfer matrix study of the Anderson transition in non-Hermitian systems
• Nielsen-Ninomiya Theorem with Bulk Topology: Duality in Floquet and Non-Hermitian Systems
• Non-Hermitian Mott Skin Effect
• Non-Hermitian Floquet Topological Matter -- A Review
• Observation of non-Hermitian edge burst in quantum dynamics
• Interaction-induced non-Hermitian topological phases from a dynamical gauge field
• Exceptional points and the topology of quantum many-body spectra
• Systematic construction of square-root topological insulators and superconductors
• Non-Hermitian Chiral Skin Effect
• Parity-time symmetric coupled asymmetric dimers
• Anisotropic exceptional points of arbitrary order
• Quantum quench in PT-symmetric Luttinger liquid
• Anderson localization and topological phase transitions in non-Hermitian Aubry-André-Harper models with p-wave pairing
• Dynamic winding number for exploring band topology
• Exceptional band touching for strongly correlated systems in equilibrium
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Non-Bloch band theory and bulk-edge correspondence in non-Hermitian systems
• Exotic interactions mediated by a non-Hermitian photonic bath
• Designing non-Hermitian real spectra through electrostatics
• Relation between exceptional points and the Kondo effect in $f$-electron materials
• Unsupervised Learning of Non-Hermitian Topological Phases
• Disorder-induced exceptional points and nodal lines in Dirac superconductors
• Hidden Chern number in one-dimensional non-Hermitian chiral-symmetric systems
• Zoology of non-Hermitian spectra and their graph topology
• Phase Transitions and Generalized Biorthogonal Polarization in Non-Hermitian Systems
• Classification of Exceptional Nodal Topologies Protected by $\mathcal{P}\mathcal{T}$ Symmetry
• Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
• Hybrid exceptional point created from type III Dirac point
• Biorthogonal quantum criticality in non-Hermitian many-body systems
• Sensitivity of non-Hermitian systems
• Fate of zero modes in a finite Su-Schrieffer-Heeger Model with $\mathcal{P}\mathcal{T}$ Symmetry
• Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations
• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Topological input-output theory for directional amplification
• Non-Hermitian Aubry-André model with Power-Law Hopping
• Fixed points and emergent topological phenomena in a parity-time-symmetric quantum quench
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• Non-Hermitian Topological End-Mode Lasing in Polariton Systems
• Defective Majorana zero modes in non-Hermitian Kitaev chain
• Symmetry and topological classification of Floquet non-Hermitian systems
• Loss-induced Floquet non-Hermitian skin effect
• Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• Untying links through anti-parity-time-symmetric coupling
• Bulk-boundary correspondence in point-gap topological phases
• Non-Hermitian Kibble-Zurek mechanism with tunable complexity in single-photon interferometry
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• Topological spin excitations in non-Hermitian spin chains with a generalized kernel polynomial algorithm
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Machine learning topological invariants of non-Hermitian systems
• Spectral Properties of Disordered Interacting Non-Hermitian Systems
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Connections between the Open-boundary Spectrum and Generalized Brillouin Zone in Non-Hermitian Systems
• Inversion symmetric non-Hermitian Chern insulator
• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• Non-Hermitian anomalous skin effect
• Optical Lattices with Higher-order Exceptional Points by Non-Hermitian Coupling
• Many-Body Non-Hermitian Skin Effect for Multipoles
• Nonreciprocal Charge and Spin Transport Induced by Non-Hermitian Skin Effect in Mesoscopic Heterojunctions
• Topological energy braiding of the non-Bloch bands
• Non-Hermitian topology in monitored quantum circuits
• Topology in non-Hermitian Chern insulators with skin effect
• Partial topological Zak phase and dynamical confinement in non-Hermitian bipartite system
• Non-Hermitian Stark Many-Body Localization
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Non-Hermitian Maryland Model
• Non-Hermitian Absorption Spectroscopy
• Hybrid higher-order skin-topological effect in hyperbolic lattices
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Topology protects chiral edge currents in stochastic systems
• Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
• Dynamic skin effects in non-Hermitian systems
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Non-Bloch quench dynamics
• Topological phases protected by shifted sublattice symmetry in dissipative quantum systems
• Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• Exceptional points make an astroid in non-Hermitian Lieb lattice: evolution and topological protection
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
• General corner states in 2D SSH model with intracelluar next-nearest-neighbour hopping
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Non-Hermitian boundary spectral winding
• Quadratic pseudospectrum for identifying localized states
• Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
• Level statistics of extended states in random non-Hermitian Hamiltonians
• Always-Real-Eigenvalued Non-Hermitian Topological Systems
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Continuum of Bound States in a Non-Hermitian Model
• Non-Hermitian quantum systems and their geometric phases
• Solvable non-Hermitian skin effect in many-body unitary dynamics
• Real spectra in non-Hermitian topological insulators
• Exact Mobility Edges and Topological Phase Transition in Two-Dimensional non-Hermitian Quasicrystals
• The topological counterparts of non-Hermitian SSH models
• Amplification of quantum signals by the non-Hermitian skin effect
• Level statistics of real eigenvalues in non-Hermitian systems
• Topology of multipartite non-Hermitian one-dimensional systems
• Manipulating non-Hermitian skin effect via electric fields
• Diagnosis of bulk phase diagram of non-reciprocal topological lattices by impurity modes
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Extended Bloch theorem for topological lattice models with open boundaries
• Bound states and photon emission in non-Hermitian nanophotonics
• Observation of non-Hermitian antichiral edge currents
• Radiative topological biphoton states in modulated qubit arrays
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Anderson localization transitions in disordered non-Hermitian systems with exceptional points
• Dynamical robustness of topological end states in nonreciprocal Su-Schrieffer-Heeger models with open boundary conditions
• Generalized Berry phase for a bosonic Bogoliubov system with exceptional points
• Stochastic non-Hermitian skin effect
• Wannier-type photonic higher-order topological corner states induced solely by gain and loss
• Exceptional points and their coalescence of PT-symmetric interface states in photonic crystals
• Dissipative analog of four-dimensional quantum Hall physics
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Perfect nonreciprocity by loss engineering
• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• Percolation-induced PT symmetry breaking
• Non-Hermitian topological end breathers
• Edge theory of non-Hermitian skin modes in higher dimensions
• A brief review of hybrid skin-topological effect
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Controllable unidirectional transport and photon storage in an one-dimensional lattice with complex hopping rates
• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Light-driven Lifshitz transitions in non-Hermitian multi-Weyl semimetals
• Disorder-induced exceptional and hybrid rings in Weyl/Dirac semimetals
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Quantum dynamics on a lossy non-Hermitian lattice
• Anomalous Light Scattering by Topological $\mathcal{P}\mathcal{T}$-symmetric Particle Arrays
• Non-Hermitian Weyl semimetal and its Floquet engineering
• Topological optomechanical amplifier with synthetic $\mathcal{P}\mathcal{T}$-symmetry
• Topological Protection of Coherence in a Dissipative Environment
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Chiral symmetry in non-Hermitian systems: product rule and Clifford algebra
• Universal scalefree non-Hermitian skin effect near the Bloch point
• Breaking and resurgence of symmetry in the non-Hermitian Su-Schrieffer-Heeger model in photonic waveguides
• Bulk-edge correspondence in nonunitary Floquet systems with chiral symmetry
• Skin effect and dynamical delocalization in non-Hermitian quasicrystals with spin-orbit interaction
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Fate of exceptional points under interactions: Reduction of topological classifications
• Two-dimensional quantum walk with non-Hermitian skin effects
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Non-Hermitian Topology in Hermitian Topological Matter
• Irrational Non-Abelian Statistics for Non-Hermitian Generalization of Majorana Zero Modes
• Emergent non-Hermitian models
• Generalized Bloch band theory for non-Hermitian bulk-boundary correspondence
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Non-Hermitian CT-Symmetric Spectral Protection of Nonlinear Defect Modes
• Dissipative Boundary State Preparation
• Accelerating Relaxation Dynamics in Open Quantum System with Liouvillian Skin Effect
• Machine learning non-Hermitian topological phases
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Topological Protection in non-Hermitian Haldane Honeycomb Lattices
• Full counting statistics in the many-body Hatano-Nelson model
• Chiral state transfer under dephasing
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Realizing exceptional points by Floquet dissipative couplings in thermal atoms
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Topological characterization of non-Hermitian multiband systems using Majorana's Stellar Representation
• Topological triple phase transition in non-Hermitian quasicrystals with complex asymmetric hopping
• Insensitive edge solitons in a non-Hermitian topological lattice
• Quantum Control in Open and Periodically Driven Systems
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Quantum criticality in interacting bosonic Kitaev-Hubbard models
• Observation of size-dependent boundary effects in non-Hermitian electric circuits
• Competition of non-Hermitian skin effect and topological localization of corner states observed in circuits
• Dynamical preparation of a steady ODLRO state in the Hubbard model with local non-Hermitian impurity
• Real spectra, Anderson localization, and topological phases in one-dimensional quasireciprocal systems
• Topological transport in the steady state of a quantum particle with dissipation
• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
• Dynamical Transition due to Feedback-induced Skin Effect
• Non-Hermitian spectral flows and Berry-Chern monopoles
• Making topologically trivial non-Hermitian systems nontrivial via gauge fields
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Anderson localization versus hopping asymmetry in a disordered lattice
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
• Spectral analysis, chiral disorder and topological edge states manifestation in open non-Hermitian Su-Schrieffer-Heeger chains
• Non-Hermitian extended midgap states and bound states in the continuum
• Topological properties of non-Hermitian Creutz Ladders
• A renormalization group approach to non-Hermitian topological quantum criticality
• The simulation of non-Hermitian disordered system in linear circuits
• Exceptional point induced lasing dynamics in a non-Hermitian system
• Topological Transitions with an Imaginary Aubry-Andre-Harper Potential
• Field theory of non-Hermitian disordered systems
• Non-Hermitian second-order topological superconductors
• Non-Hermitian topological phase transitions for quantum spin Hall insulators
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Robust zero modes in non-Hermitian systems without global symmetries
• Scrambling and operator entanglement in local non-Hermitian quantum systems
• Probing two-body exceptional points in open dissipative systems
• Engineering Interaction Dynamics in Active Resonant Photonic Structures
• Non-Hermitian Fabry-Perot Resonances in a PT-symmetric system
• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Braiding Topology of Non-Hermitian Open-Boundary Bands
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Non-Hermitian Avalanche Effect: Non-Perturbative Effect Induced by Local Non-Hermitian Perturbation on a Z2 Topological Order
• Thermal plasmon resonantly enhances electron scattering in Dirac/Weyl semimetals
• Stability and collisions of quantum droplets in PT -symmetric dual-core couplers
• Dynamical signatures of point-gap Weyl semimetal
• Skin Effect in Quadratic Lindbladian Systems: an Adjoint Fermion Approach
• Wide-range-tunable Dirac-cone band structure in a chiral-time-symmetric non-Hermitian system
• Topology of rotating stratified fluids with and without background shear flow
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Point-Gap Bound States in Non-Hermitian Systems
• Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model
• Universal conductance of a PT-symmetric Luttinger liquid after a quantum quench
• Many-body phase transitions in a non-Hermitian Ising chain
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Topological Floquet interface states in optical fibre loops
• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Alice string in Non-Hermitian Systems
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit
• Exceptional Non-Hermitian Phases in Disordered Quantum Wires
• Nontrivial worldline winding in non-Hermitian quantum systems
• Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Anomalous dynamical response of non-Hermitian topological phases
• Controlling the Deformation of Metamaterials: Corner Modes via Topology
• Uniform response theory of non-Hermitian systems: Non-Hermitian physics beyond the exceptional point
• State-dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Observation of non-local impedance response in a passive electrical circuit
• Hermitian Topologies originating from non-Hermitian braidings
• Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing
• Mesoscopic transport signatures of disorder-induced non-Hermitian phases
• Quantum probing topological phase transitions by non-Markovianity
• Versatile Braiding of Non-Hermitian Topological Edge States
• Multifractality of many-body non-Hermitian skin effect
• Selective and tunable excitation of topological non-Hermitian skin modes
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• 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
• Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
• Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer
• Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling
• Direct observation of energy band attraction effect in non-Hermitian systems
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
• Non-Hermitian boost deformation
• Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Topological transitions in dissipatively coupled Su-Schrieffer-Heeger models
• Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Symmetry-Protected Topological Phase for Spin-Tensor-Momentum-Coupled Ultracold Atoms
• Non-Hermitian three-dimensional two-band Hopf insulator
• Transport effects in non-Hermitian nonreciprocal systems: General approach
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• Dynamical localization transition in the non-Hermitian lattice gauge theory
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Complex semiclassical theory for non-Hermitian quantum systems
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Engineering imaginary stark ladder in a dissipative lattice: passive $\mathcal{P}\mathcal{T}$ symmetry, K symmetry and localized damping
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Discriminant indicators with generalized inversion symmetry
• Equivalence and superposition of real and imaginary quasiperiodicities
• Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems
• Information constraint in open quantum systems
• Spectral and transport properties of a $\mathcal{P}\mathcal{T}$-symmetric tight-binding chain with gain and loss
• Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Scale-free localization versus Anderson localization in unidirectional quasiperiodic lattices
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Non-Hermitian Quantum Fractals
• Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems
• Universal spectral moment theorem and its applications in non-Hermitian systems
• Switching between topological edge states in plasmonic systems using phase-change materials
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Soft topological modes protected by symmetry in rigid mechanical metamaterials
• Effective impurity behavior emergent from non-Hermitian proximity effect
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Edge states in a non-Hermitian topological crystalline insulator
• Non-Hermitian semi-Dirac semi-metals
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Self-trapping and skin solitons in two-dimensional non-Hermitian lattices
• $\mathcal{P}\mathcal{T}$ symmetry of a square-wave modulated two-level system
• Defective Edge states and Anomalous Bulk-boundary Correspondence for Topological Insulators under Non-Hermitian Similarity Transformation
• Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
• Practical quantum simulation of small-scale non-Hermitian dynamics
• Floquet engineering flat bands for bosonic fractional quantum Hall in small lattices
• Real spectra in one-dimensional single-band non-Hermitian Hamiltonians
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Braids and Higher-order Exceptional Points from the Interplay Between Lossy Defects and Topological Boundary States
• Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms
• Topological invariants of complex energy plane in non-Hermitian systems
• Majorana zero-modes in a dissipative Rashba nanowire
• Competing topological phases in a non-Hermitian time-reversal symmetry-broken Bernevig-Hughes-Zhang model
• Universal Time-Entanglement Trade-off in Open Quantum Systems
• Entangelment Entropy on Generalized Brillouin Zone
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Exceptional magic angles in non-Hermitian twisted bilayer graphene
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Fate of pseudo mobility-edge and multiple states in non-Hermitian Wannier-Stark lattice
• Antiresonance induced by symmetry-broken contacts in quasi-one-dimensional lattices
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Non-Hermitian superconducting diode effect
• Emergent $\mathcal{P}\mathcal{T}$-symmetry breaking of collective modes with topological critical phenomena
• Controlled probing of localization effects in the non-Hermitian Aubry-André model via topolectrical circuits
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Efimov physics in the complex plane
• Complex entanglement entropy for complex conformal field theory
• Emergent localized states at the interface of a twofold $\mathcal{P}\mathcal{T}$-symmetric lattice
• Experimental probe of band structures of bilayer valley photonic crystals
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Abnormal Frequency Response Determined by Saddle Points in Non-Hermitian Crystal Systems
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Topological Invariant for Multi-Band Non-hermitian Systems with Chiral Symmetry
• Electronic polarization in non-Bloch band theory
• The Quantum Skin Hall Effect
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Equilibrium states in open quantum systems
• Anisotropic-scaling localization in higher-dimensional non-Hermitian systems
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Quantum quench dynamics in the Luttinger liquid phase of the Hatano-Nelson model
• Topological directed amplification
• Restoration of non-Hermitian bulk-boundary correspondence by counterbalancing skin effect
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• Nodal phases in non-Hermitian wallpaper crystals
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Non-Hermitian Floquet-Free Analytically Solvable Time Dependant Systems
• Topologically compatible non-Hermitian skin effect
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Topology of Discrete Quantum Feedback Control
• Extended unitarity and absence of skin effect in periodically driven systems
• Unconventional quantum criticality in a non-Hermitian extended Kitaev chain
• Bulk-boundary correspondence in soft matter
• Non-Quantized Edge Channel Conductance and Zero Conductance Fluctuation in Non-Hermitian Chern Insulators
• Topological Phase Transition of A Non-Hermitian Crosslinked Chain
• Inverse Design of Winding Tuple for Non-Hermitian Topological Edge Modes
• Machine learning of mirror skin effects in the presence of disorder
• Linear level repulsions near exceptional points of non-Hermitian systems
• Emergence of exceptional points and their spectroscopic signature in Dirac semimetal-dirty Superconductor heterojunction
• Emergent non-Hermitian physics in generalized Lotka-Volterra model
• Spontaneous Formation of Exceptional Points at the Onset of Magnetism
• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
• Loss-induced universal one-way transport in periodically driven systems
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Exceptional second-order topological insulators
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Chiral Dissociation of Bound Photon Pairs for a Non-Hermitian Skin Effect
• Discriminant indicator with generalized rotational symmetry
• Exact solutions of non-Hermitian chains with asymmetric long-range hopping under specific boundary conditions
• Duality between Generalized Non-Hermitian HN Model in Flat Space and Hermitian System in Curved space
• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• Topological split-ring resonator based metamaterials with $\mathcal{P}\mathcal{T}$ symmetry relying on gain and loss
• Winding Topology of Multifold Exceptional Points
• Defect production due to time-dependent coupling to environment in the Lindblad equation
• Theory for the spectral splitting exponent of exceptional points
• Impurity in a Fermi gas under non-Hermitian spin-orbit coupling
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Magnetization in a non-equilibrium quantum spin system
• Coalescing hardcore-boson condensate states with nonzero momentum
• Hermitian and non-Hermitian topology in active matter
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Characterizing topological pumping of charges in exactly solvable Rice-Mele chains of the non-Hermitian variety
• Slow approach to adiabaticity in many-body non-Hermitian systems: the Hatano-Nelson Model
• Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
• Dissipative phase transition of interacting non-reciprocal fermions
• Gauge Field Induced Unconventional Skin Effect in Spinful Non-Hermitian Systems
• An elementary proof and detailed investigation of the bulk-boundary correspondence in the generic two-band model of Chern insulators
• Topological extension including quantum jump
• Semi-localization transition driven by a single asymmetrical tunneling
• Topologically tunable polaritons based on two-dimensional crystals in a photonic lattice
• Quasiparticle picture of topological phase transitions induced by interactions
• Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Defect-driven incoherent skin localization
• Non-Hermitian Hopf insulators
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Degenerate Topological Edge States in Multimer Chains
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• Impurity flat band states in the diamond chain
• An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials
• Monopoles in non-Hermitian systems
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• From Chiral Topological Dynamics to Chiral Topological Amplification: Real vs Imaginary Parameters in a Hermitian Bosonic Chain
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Experimental observation of energy-band Riemann surface
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• Classical correspondence of the exceptional points in the finite non-Hermitian system
• Zero modes of velocity field and topological invariant in quantum torus
• Transport characteristics of a $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian system: Effect of environmental interaction
• Non-Hermitian Topoelectrical Circuits: Expedient Tools for Topological State Engineering with Gain-Loss Modulation
• Can a photonic thermalization gap arise in disordered non-Hermitian Hamiltonian systems?
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Symmetry and Topology of Monitored Quantum Dynamics
• Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
• A Hermitian bypass to the non-Hermitian quantum theory
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Scattering Dynamics and Boundary States of a Non-Hermitian Dirac Equation
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Boundary-induced singularity in strongly-correlated quantum systems at finite temperature
• Adiabatic charge transport through non-Bloch bands
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Observation of novel robust edge states without bulk-boundary correspondence in non-Hermitian quantum walks
• Tailoring Corner States and Exceptional Points in Altermagnets
• An exceptional surface and its topology
• Scaling of pseudospectra in exponentially sensitive lattices
• Real and imaginary edge states in stacked Floquet honeycomb lattices
• Recent progress on disorder-induced topological phases
• Quantum-vacuum-protected topological edge polaritons
• Topological invariant of velocity field in quantum systems
• Anti-parity-time topologically undefined state
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Topological Phase Transitions and Edge-State Transfer in Time-Multiplexed Quantum Walks
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Self-healing of non-Hermitian topological skin modes
• Supermetal-insulator transition in a non-Hermitian network model
• One-directional polarization transport in electron/nuclear spin chains with loss and gain
• Quantum Hall admittance in non-Hermitian systems
• Hall conductance of a non-Hermitian two-band system with k-dependent decay rates
• Exceptional topology on nonorientable manifolds
• Non-orientable Exceptional Points in Twisted Boundary Systems
• Anomalous Point-Gap Interactions Unveil the Mirage Bath
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Non-Hermitian Effects in the Su-Schrieffer-Heeger model: Exploring Substrate Coupling and Decoupling Dynamics
• Winding-control mechanism of non-Hermitian systems
• A new Berry phase term in parity-time symmetric non-Hermitian spin-1/2 quantum systems
• Robust interface-state laser in non-Hermitian micro-resonator arrays
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• Application of Jordan Decomposition to Non-Hermitian Lattice Models with Spectrally-Isolated Lower Dimensional States
• Reversing non-Hermitian skin accumulation with a non-local transverse switch
• Interacting many-body non-Hermitian systems as Markov chains
• Braiding of dynamical eigenvalues of Hermitian bosonic Kitaev chains
• Topology of the generalized Brillouin zone of one-dimensional models
• Illuminating the bulk-boundary correspondence of a non-Hermitian stub lattice with Majorana stars
• Supercharging exceptional points: Full-spectrum pairwise coalescence in non-Hermitian systems
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains
• $\mathcal{P}\mathcal{T}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics
• Covariant formulation of the Berry connection in non-Hermitian systems
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Large Chern numbers in a dissipative dice model
• Non-Hermitian second-order topological insulator with point gap
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Periodic dynamics in an Ising chain with a quadratic transverse field
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential
• Algebraic States in Continuum in $d>1$ Dimensional Non-Hermitian Systems
• Exceptional Luttinger Liquids from sublattice dependent interaction
• Geometric criterion of topological phase transition for non-Hermitian systems
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Fate of Majorana zero modes by a modified real-space-Pfaffian method and mobility edges in a one-dimensional quasiperiodic lattice
• Localization with non-Hermitian off-diagonal disorder