Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems

Abstract

Non-Hermitian systems exhibit striking exceptions from the paradigmatic bulk-boundary correspondence, including the failure of bulk Bloch band invariants in predicting boundary states and the (dis)appearance of boundary states at parameter values far from those corresponding to gap closings in periodic systems without boundaries. Here, we provide a comprehensive framework to unravel this disparity based on the notion of biorthogonal quantum mechanics: While the properties of the left and right eigenstates corresponding to boundary modes are individually decoupled from the bulk physics in non-Hermitian systems, their combined biorthogonal density penetrates the bulk precisely when phase transitions occur. This leads to generalized bulk-boundary correspondence and a quantized biorthogonal polarization that is formulated directly in systems with open boundaries. We illustrate our general insights by deriving the phase diagram for several microscopic open boundary models, including exactly solvable non-Hermitian extensions of the Su-Schrieffer-Heeger model and Chern insulators.

arXiv commentPRL Editors' Suggestion. Supplementary material as ancillary file

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• Non-Hermitian Weyl semimetal and its Floquet engineering
• Incoherent non-Hermitian skin effect in photonic quantum walks
• Observation of scale-free localized states induced by non-Hermitian defects
• Percolation-induced PT symmetry breaking
• Edge theory of non-Hermitian skin modes in higher dimensions
• Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Polarization and entanglement spectrum in non-hermitian systems
• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• Topological optomechanical amplifier with synthetic $\mathcal{P}\mathcal{T}$-symmetry
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Non-Hermitian topological end breathers
• Cooper-pair transistor as a minimal topological quantum circuit
• Quantum dynamics on a lossy non-Hermitian lattice
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Hyperbolic Nodal Band Structures and Knot Invariants
• Spontaneously Broken Particle-Hole Symmetry in Photonic Graphene with Gain and Loss
• Engineering Dissipative Quasicrystals
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Quantized Angular Momentum in Topological Optical Systems
• Green's functions of multiband non-Hermitian systems
• Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Bulk-edge correspondence in nonunitary Floquet systems with chiral symmetry
• Skin effect and dynamical delocalization in non-Hermitian quasicrystals with spin-orbit interaction
• Breaking and resurgence of symmetry in the non-Hermitian Su-Schrieffer-Heeger model in photonic waveguides
• Universal scalefree non-Hermitian skin effect near the Bloch point
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Fate of exceptional points under interactions: Reduction of topological classifications
• Observation of a topological edge state stabilized by dissipation
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• The non-Hermitian skin effect: A perspective
• Non-Hermitian Topology in Hermitian Topological Matter
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Two-dimensional quantum walk with non-Hermitian skin effects
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Universal non-Hermitian transport in disordered systems
• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Reservoir-assisted symmetry breaking and coalesced zero-energy modes in an open PT-symmetric Su-Schrieffer-Heeger model
• Machine learning non-Hermitian topological phases
• Emergent non-Hermitian models
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Self acceleration from spectral geometry in dissipative quantum-walk dynamics
• Non-Bloch band theory for non-Hermitian continuum systems
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Full counting statistics in the many-body Hatano-Nelson model
• Irrational Non-Abelian Statistics for Non-Hermitian Generalization of Majorana Zero Modes
• Generalized Bloch band theory for non-Hermitian bulk-boundary correspondence
• Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
• Topological Protection in non-Hermitian Haldane Honeycomb Lattices
• Entanglement phase transition due to reciprocity breaking without measurement or post-selection
• Non-linear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
• Dissipative Boundary State Preparation
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Realizing exceptional points by Floquet dissipative couplings in thermal atoms
• Chiral state transfer under dephasing
• Damping transition in an open generalized Aubry-André-Harper model
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Non-Bloch band theory of generalized eigenvalue problems
• Statistical mechanics for non-Hermitian quantum systems
• Kinked linear response from non-Hermitian cold-atom pumping
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Fractional Quantum Zeno Effect Emerging from Non-Hermitian Physics
• Topological characterization of non-Hermitian multiband systems using Majorana's Stellar Representation
• Insensitive edge solitons in a non-Hermitian topological lattice
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Extended topological mode in a one-dimensional non-Hermitian acoustic crystal
• Non-Hermitian spectral flows and Berry-Chern monopoles
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Making topologically trivial non-Hermitian systems nontrivial via gauge fields
• Competition of non-Hermitian skin effect and topological localization of corner states observed in circuits
• Quantum criticality in interacting bosonic Kitaev-Hubbard models
• Non-Hermitian topological mobility edges and transport in photonic quantum walks
• Steady-state edge burst: From free-particle systems to interaction-induced phenomena
• Topological Signatures in Quantum Transport in Anomalous Floquet-Anderson Insulators
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Real spectra, Anderson localization, and topological phases in one-dimensional quasireciprocal systems
• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
• Non-Hermitian topology and criticality in photonic arrays with engineered losses
• Dynamical preparation of a steady ODLRO state in the Hubbard model with local non-Hermitian impurity
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Dynamical Transition due to Feedback-induced Skin Effect
• Critical non-Hermitian topology induced quantum sensing
• Statistical properties of eigenvalues of the non-Hermitian Su-Schrieffer-Heeger model with random hopping terms
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Non-Hermitian topological ohmmeter
• Quantum Algorithms for Open Lattice Field Theory
• Topological properties of non-Hermitian Creutz Ladders
• Topological superconductivity enhanced by exceptional points
• Real Non-Hermitian Energy Spectra Without Any Symmetry
• Non-Hermitian topological phase transitions for quantum spin Hall insulators
• Field theory of non-Hermitian disordered systems
• Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
• Extension of Noether's theorem in PT-symmetric systems and its experimental demonstration in an optical setup
• Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
• Non-Hermitian extended midgap states and bound states in the continuum
• Topological atomic spinwave lattices by dissipative couplings
• A renormalization group approach to non-Hermitian topological quantum criticality
• Spectral analysis, chiral disorder and topological edge states manifestation in open non-Hermitian Su-Schrieffer-Heeger chains
• Scaling laws for non-Hermitian skin effect with long-range couplings
• Wideband tunable infrared topological plasmon polaritons in dimerized chains of doped-silicon nanoparticles
• Kramers' degeneracy for open systems in thermal equilibrium
• Many-body Non-Hermitian Skin Effect At Finite Temperatures
• Edge states at the boundary between topologically equivalent lattices
• Anomalous features of non-Hermitian topological states
• Non-Hermitian chiral anomalies
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Probing two-body exceptional points in open dissipative systems
• Hybrid scaling properties of localization transition in a non-Hermitian disorder Aubry-André model
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Non-Hermitian Avalanche Effect: Non-Perturbative Effect Induced by Local Non-Hermitian Perturbation on a Z2 Topological Order
• Braiding Topology of Non-Hermitian Open-Boundary Bands
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Bulk-edge correspondence and stability of multiple edge states of a $\mathcal{P}\mathcal{T}$ symmetric non-Hermitian system by using non-unitary quantum walks
• Characterizing and Tuning Exceptional Points Using Newton Polygons
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• Non-Hermitian Hartman effect
• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Non-Hermitian higher-Order Weyl semimetal with surface diabolic points
• Non-Hermitian topological phases and skin effects in kagome lattices
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Fate of Two-Particle Bound States in the Continuum in non-Hermitian Systems
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
• Pseudomagnetic suppression of non-Hermitian skin effect
• Universal scaling of Green's functions in disordered non-Hermitian systems
• Topology of rotating stratified fluids with and without background shear flow
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Hidden zero modes and topology of multiband non-Hermitian systems
• Emerging exceptional point with breakdown of skin effect in non-Hermitian systems
• Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Dynamical signatures of point-gap Weyl semimetal
• Many-body phase transitions in a non-Hermitian Ising chain
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Alice string in Non-Hermitian Systems
• Non-Hermitian skin effect in a spin-orbit-coupled Bose-Einstein condensate
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization
• Point-Gap Bound States in Non-Hermitian Systems
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• State-dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Topological Corner States in Graphene by Bulk and Edge Engineering
• Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit
• Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices
• Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice
• Bulk-edge correspondence and trapping at a non-Hermitian topological interface
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Anomalous dynamical response of non-Hermitian topological phases
• Observables in non-Hermitian systems: A methodological comparison
• Non-Bloch PT symmetry breaking: Universal threshold and dimensional surprise
• Observation of non-local impedance response in a passive electrical circuit
• Hermitian Topologies originating from non-Hermitian braidings
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Nonhermitian defect states from lifetime differences
• Exceptional Non-Hermitian Phases in Disordered Quantum Wires
• Nontrivial worldline winding in non-Hermitian quantum systems
• Direct observation of energy band attraction effect in non-Hermitian systems
• Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Selective and tunable excitation of topological non-Hermitian skin modes
• Quantum probing topological phase transitions by non-Markovianity
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling
• Quantum-Classical Correspondence of Non-Hermitian Symmetry Breaking
• Mesoscopic transport signatures of disorder-induced non-Hermitian phases
• Topological quantum optical states in quasiperiodic cold atomic chains
• Non-reciprocal breathing solitons
• Multifractality of many-body non-Hermitian skin effect
• Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
• Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
• Role of Topology in Relaxation of One-Dimensional Stochastic Processes
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• 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
• Exceptional points and exponential sensitivity for periodically driven Lindblad equations
• Topological transitions in dissipatively coupled Su-Schrieffer-Heeger models
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
• Lindbladian dynamics with loss of quantum jumps
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Exceptional Points and Stability in Nonlinear Models of Population Dynamics having $\mathcal{P}\mathcal{T}$ symmetry
• Symmetry-Protected Topological Phase for Spin-Tensor-Momentum-Coupled Ultracold Atoms
• Interplay of nonreciprocity and nonlinearity on mean-field energy and dynamics of a Bose-Einstein condensate in a double-well potential
• Non-Hermitian boost deformation
• Complex semiclassical theory for non-Hermitian quantum systems
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Dynamical localization transition in the non-Hermitian lattice gauge theory
• Biorthogonal topological charge pumping in non-Hermitian systems
• Topological states and interplay between spin-orbit and Zeeman interactions in a spinful Su-Schrieffer-Heeger nanowire
• Correlations in non-Hermitian systems and Diagram techniques for the steady state
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Non-Hermitian three-dimensional two-band Hopf insulator
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Transport effects in non-Hermitian nonreciprocal systems: General approach
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• Floquet higher-order topological phases in momentum space
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• Discriminant indicators with generalized inversion symmetry
• Hard topological versus soft geometrical magnetic particle transport
• Equivalence and superposition of real and imaginary quasiperiodicities
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• Information constraint in open quantum systems
• Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems
• Space-Time Duality between Quantum Chaos and Non-Hermitian Boundary Effect
• Quantum Monte Carlo study of topological phases on a spin analogue of Benalcazar-Bernevig-Hughes model
• Engineering imaginary stark ladder in a dissipative lattice: passive $\mathcal{P}\mathcal{T}$ symmetry, K symmetry and localized damping
• General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents
• Quasiperiodicity-induced bulk localization with self similarity in non-Hermitian systems
• Non-Floquet engineering in periodically driven non-Hermitian systems
• Non-Hermitian skin effect in a single trapped ion
• Edge states in a non-Hermitian topological crystalline insulator
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
• Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Non-Hermitian Quantum Fractals
• Comparing Hermitian and Non-Hermitian Quantum Electrodynamics
• Robust Bulk States
• Non-Hermitian Skin Effect Along Hyperbolic Geodesics
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Effective impurity behavior emergent from non-Hermitian proximity effect
• Multitude of exceptional points in van der Waals magnets
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Non-Hermitian semi-Dirac semi-metals
• Interaction-Induced Second-Order Skin Effect
• Scale-free localization versus Anderson localization in unidirectional quasiperiodic lattices
• Corner modes in non-Hermitian next-nearest-neighbor hopping model
• Non-Bloch dynamics and topology in a classical non-equilibrium process
• Emergent $\mathcal{P}\mathcal{T}$-symmetry breaking of collective modes with topological critical phenomena
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Defective Edge states and Anomalous Bulk-boundary Correspondence for Topological Insulators under Non-Hermitian Similarity Transformation
• Competing topological phases in a non-Hermitian time-reversal symmetry-broken Bernevig-Hughes-Zhang model
• Majorana zero-modes in a dissipative Rashba nanowire
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Real spectra in one-dimensional single-band non-Hermitian Hamiltonians
• Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
• $\mathcal{P}\mathcal{T}$ symmetry of a square-wave modulated two-level system
• Field Theoretical Study of Disorder in Non-Hermitian Topological Models
• Localization and topological transitions in generalized non-Hermitian SSH models
• Non-Hermitian superconducting diode effect
• Topological invariants of complex energy plane in non-Hermitian systems
• Entangelment Entropy on Generalized Brillouin Zone
• Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices
• Steady-state topological order
• Practical quantum simulation of small-scale non-Hermitian dynamics
• Electric polarization and its quantization in one-dimensional non-Hermitian chains
• Universal Time-Entanglement Trade-off in Open Quantum Systems
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms
• Braids and Higher-order Exceptional Points from the Interplay Between Lossy Defects and Topological Boundary States
• Exceptional magic angles in non-Hermitian twisted bilayer graphene
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Complex entanglement entropy for complex conformal field theory
• Abnormal Frequency Response Determined by Saddle Points in Non-Hermitian Crystal Systems
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• Localization transition in non-Hermitian systems depending on reciprocity and hopping asymmetry
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Electronic polarization in non-Bloch band theory
• Anomalous hybridization of spectral winding topology in quantized steady-state responses
• Quantum quench dynamics in the Luttinger liquid phase of the Hatano-Nelson model
• Topological states at exceptional points
• Nonlinear Hall effects with an exceptional ring
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Non-Hermitian tuned topological band gap
• Non-Bloch Theory for Spatiotemporal Photonic Crystals Assisted by Continuum Effective Medium
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Observation of non-Hermitian many-body skin effects in Hilbert space
• Topological Invariant for Multi-Band Non-hermitian Systems with Chiral Symmetry
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Liouvillian skin effect in quantum neural networks
• Spontaneous Formation of Exceptional Points at the Onset of Magnetism
• Non-Hermitian $C_{NH}=2$ Chern insulator protected by generalized rotational symmetry
• Emergent Non-Hermitian Edge Polarisation in an Hermitian Tight-binding Model
• Restoration of non-Hermitian bulk-boundary correspondence by counterbalancing skin effect
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Topologically compatible non-Hermitian skin effect
• Fidelity and criticality in the nonreciprocal Aubry-Andr{é}-Harper model
• Anomalous spectrum in a non-Hermitian quasiperiodic chain
• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
• Nodal phases in non-Hermitian wallpaper crystals
• Topological Phase Transition of A Non-Hermitian Crosslinked Chain
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• Machine learning of mirror skin effects in the presence of disorder
• Unconventional quantum criticality in a non-Hermitian extended Kitaev chain
• Optical pumping through the Liouvillian skin effect
• Loss-induced universal one-way transport in periodically driven systems
• Inverse Design of Winding Tuple for Non-Hermitian Topological Edge Modes
• Linear level repulsions near exceptional points of non-Hermitian systems
• Cutting off the non-Hermitian boundary from an anomalous Floquet topological insulator
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Phase transitions in non-Hermitian superlattices
• Composite Quantum Phases in Non-Hermitian Systems
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
• Classical-quantum correspondence for two-level pseudo-Hermitian systems
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Exceptional second-order topological insulators
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Discriminant indicator with generalized rotational symmetry
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Nonlinear skin breathing modes in one-dimensional nonreciprocal mechanical lattices
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• Emergent Topology in Many-Body Dissipative Quantum Matter
• Impurity in a Fermi gas under non-Hermitian spin-orbit coupling
• Exact solutions of non-Hermitian chains with asymmetric long-range hopping under specific boundary conditions
• Chiral Dissociation of Bound Photon Pairs for a Non-Hermitian Skin Effect
• Winding Topology of Multifold Exceptional Points
• Dual Symmetry Classification of Non-Hermitian Systems and ${\mathbb{Z}}_2$ Point-Gap Topology of a Non-Unitary Quantum Walk
• Hermitian and non-Hermitian topology in active matter
• $\mathcal{P}\mathcal{T}$-symmetry phase transition in a Bose-Hubbard model with localized gain and loss
• Topologically protected negative entanglement
• Transport and integrability-breaking in non-Hermitian many-body quantum systems
• Direct Measurement of a Non-Hermitian Topological Invariant in a Hybrid Light-Matter System
• Coalescing hardcore-boson condensate states with nonzero momentum
• Topological phases of many-body non-Hermitian systems
• Controllable suppression of Non-Hermitian skin effects
• Magnetization in a non-equilibrium quantum spin system
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Slow approach to adiabaticity in many-body non-Hermitian systems: the Hatano-Nelson Model
• Random non-Hermitian action theory for stochastic quantum dynamics: from canonical to path integral quantization
• Characterizing topological pumping of charges in exactly solvable Rice-Mele chains of the non-Hermitian variety
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Non-Hermitian tearing by dissipation
• Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models
• Topological extension including quantum jump
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Gauge Field Induced Unconventional Skin Effect in Spinful Non-Hermitian Systems
• Semi-localization transition driven by a single asymmetrical tunneling
• Emerging (2+1)D electrodynamics and topological instanton in pseudo-Hermitian two-level systems
• Fractional Thouless pumping of solitons: a unique manifestation of bulk-edge correspondence of nonlinear eigenvalue problems
• Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• Fixed points on band structures of non-Hermitian models: Extended states in the bandgap and ideal superluminal tunneling
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Random non-Hermitian Hamiltonian framework for symmetry breaking dynamics
• Floquet-Weyl semimetals generated by an optically resonant interband-transition
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• Non-Hermitian Hopf insulators
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials
• Dynamic transition of the density-matrix topology under parity-time symmetry
• Exceptional Non-Hermitian Topology Associated with Non-Toroidal Brillouin Zones
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Symmetry-induced fragmentation and dissipative time crystal
• Experimentally Probing Non-Hermitian Spectral Transition and Eigenstate Skewness
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• Topological Photonic Systems: Virtuous Platforms to Study Topological Quantum Matter
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Experimental observation of energy-band Riemann surface
• Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
• Exceptionally deficient topological square-root insulators
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Coherent transfer of topological domain walls
• PT-symmetric Non-Hermitian Hopf Metal
• Topological spin textures in electronic non-Hermitian systems
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• Non-Hermitian Topoelectrical Circuits: Expedient Tools for Topological State Engineering with Gain-Loss Modulation
• An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• Exceptional mode topological surface laser
• From Chiral Topological Dynamics to Chiral Topological Amplification: Real vs Imaginary Parameters in a Hermitian Bosonic Chain
• Quantum-vacuum-protected topological edge polaritons
• Many-Body Neural Network Wavefunction for a Non-Hermitian Ising Chain
• Topological Phase Transitions and Edge-State Transfer in Time-Multiplexed Quantum Walks
• Entanglement manifestation of knot topology in a non-Hermitian lattice
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Recent progress on disorder-induced topological phases
• Inter-species topological phases via a dynamical gauge field
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Tailoring Corner States and Exceptional Points in Altermagnets
• Optimal spectral transport of non-Hermitian systems
• Symmetry and Topology of Monitored Quantum Dynamics
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Zeeman field induced corner states in the Kane-Mele-Hubbard model
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Topological invariant of velocity field in quantum systems
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping
• 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
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential
• Geometric criterion of topological phase transition for non-Hermitian systems
• Algebraic States in Continuum in $d>1$ Dimensional Non-Hermitian Systems
• Robust interface-state laser in non-Hermitian micro-resonator arrays
• Exceptional topology on nonorientable manifolds
• Non-Hermitian second-order topological insulator with point gap
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Interferometric Geometric Phases of $\mathcal{P}\mathcal{T}$-symmetric Quantum Mechanics
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Covariant formulation of the Berry connection in non-Hermitian systems
• Dissipation-induced bound states as a two-level system
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains
• Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems
• Magnetic field effects on the Kitaev model coupled to environment
• Symmetry and Topology of Successive Quantum Feedback Control
• Shannon Entropy and Diffusion Coeffcient in Parity-Time Symmetric Quantum Walks
• Large Chern numbers in a dissipative dice model
• The analytically tractable zoo of similarity-induced exceptional structures
• Self-healing of non-Hermitian topological skin modes
• Winding-control mechanism of non-Hermitian systems
• Supermetal-insulator transition in a non-Hermitian network model
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Non-Hermitian Higher-Order Dirac Semimetals
• Topology of the generalized Brillouin zone of one-dimensional models
• Non-Hermitian Higher-Order Weyl Semimetals
• Anomalous Point-Gap Interactions Unveil the Mirage Bath
• Topological states of generalized dissipative Majorana wires
• A new Berry phase term in parity-time symmetric non-Hermitian spin-1/2 quantum systems
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Anomalous Non-Hermitian Topological Anderson Insulator
• Simulating monitoring-induced topological phase transitions with small systems
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Interacting many-body non-Hermitian systems as Markov chains
• Insensitive nonreciprocal edge breathers
• Non-Hermitian Effects in the Su-Schrieffer-Heeger model: Exploring Substrate Coupling and Decoupling Dynamics
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Emulating non-Hermitian dynamics in a finite non-dissipative quantum system
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
• 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