Edge states and topological invariants of non-Hermitian systems

Abstract

The bulk-boundary correspondence is among the central issues of non-Hermitian topological states. We show that a previously overlooked `non-Hermitian skin effect' necessitates redefinition of topological invariants in a generalized Brillouin zone. The resultant phase diagrams dramatically differ from the usual Bloch theory. Specifically, we obtain the phase diagram of non-Hermitian Su-Schrieffer-Heeger model, whose topological zero modes are determined by the non-Bloch winding number instead of the Bloch-Hamiltonian-based topological number. Our work settles the issue of the breakdown of conventional bulk-boundary correspondence and introduces the non-Bloch bulk-boundary correspondence.

9 pages, 7 figures. PRL Editors' Suggestion

References in corpus (29)

• Topological Photonics
• Topological Photonics
• Making Sense of Non-Hermitian Hamiltonians
• Topological phases of non-Hermitian systems
• Loss-induced suppression and revival of lasing
• Visualization of Branch Points in PT-Symmetric Waveguides
• 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
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Topological Transition in a Non-Hermitian Quantum Walk
• Topological Hybrid Silicon Microlasers
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• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• Topological invariance and global Berry phase in non-Hermitian systems
• Detecting topological invariants in nonunitary discrete-time quantum walks
• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• Parity-time-symmetric topological superconductor
• Entanglement and spin squeezing in non-Hermitian phase transitions
• Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges
• Topological phase in a non-Hermitian PT symmetric system
• Dynamical quantum phase transitions in non-Hermitian lattices
• Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
• Topological collective plasmons in bipartite chains of metallic nanoparticles
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• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Hunting for the non-Hermitian exceptional points with fidelity susceptibility
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• Ultrafast and Anharmonic Rabi Oscillations between Non-Bloch-Bands
• Engineering of topological state transfer and topological beam splitter in an even-size Su-Schrieffer-Heeger chain
• Floquet second-order topological insulators in non-Hermitian systems
• Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
• Bulk-edge correspondence and long range hopping in the topological plasmonic chain
• Optomechanical realization of the bosonic Kitaev-Majorana chain
• Finite-size effects in non-Hermitian topological systems
• Microscopic mechanism of level attraction
• Non-Bloch bands in two-dimensional non-Hermitian systems
• Anomalous Topological Active Matter
• Dimensional transmutation from non-Hermiticity
• Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
• Exact solution of single impurity problem in non-reciprocal lattices: impurity induced size-dependent non-Hermitian skin effect
• Eigenvalue topology of non-Hermitian band structures in two and three dimensions
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Hermitian zero modes protected by nonnormality: Application of pseudospectra
• Symmetry protected topological phases characterized by isolated exceptional points
• Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators
• Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals
• Topological Phase Transition Independent of System Non-Hermiticity
• Geometric Origin of Non-Bloch PT Symmetry Breaking
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• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
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• Topology and Observables of the Non-Hermitian Chern Insulator
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• Engineering Non-Hermitian Skin Effect with Band Topology in Ultracold Gases
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• Non-Hermitian Floquet Topological Matter -- A Review
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• Universal competitive spectral scaling from the critical non-Hermitian skin effect
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• Fate of zero modes in a finite Su-Schrieffer-Heeger Model with $\mathcal{P}\mathcal{T}$ Symmetry
• Non-Hermitian Rosenzweig-Porter random-matrix ensemble: Obstruction to the fractal phase
• Symmetry-resolved entanglement in critical non-Hermitian systems
• Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Scale-tailored localization and its observation in non-Hermitian electrical circuits
• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Dynamical actions and q-representation theory for double-scaled SYK
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• Non-Hermitian Aubry-André model with Power-Law Hopping
• Non-Hermitian skin effect in magnetic systems
• Topological input-output theory for directional amplification
• Fixed points and emergent topological phenomena in a parity-time-symmetric quantum quench
• Defective Majorana zero modes in non-Hermitian Kitaev chain
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• Non-Hermitian Majorana modes protect degenerate steady states
• Non-Hermitian Topological End-Mode Lasing in Polariton Systems
• Quantum Entanglement of Non-Hermitian Quasicrystals
• Geometry-dependent skin effects in reciprocal photonic crystals
• Unconventional scaling at non-Hermitian critical points
• Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects
• Non-Hermitian Squeezed Polarons
• Loss-induced Floquet non-Hermitian skin effect
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• Symmetry and topological classification of Floquet non-Hermitian systems
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• Nonlinear non-Hermitian skin effect
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• 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
• From the topological spin-Hall effect to the non-Hermitian skin effect in an elliptical micropillar chain
• Hybrid skin-topological effect induced by eight-site cells and arbitrary adjustment of the localization of topological edge states
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Untying links through anti-parity-time-symmetric coupling
• Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths
• Theoretical Prediction of Non-Hermitian Skin Effect in Ultracold Atom Systems
• Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes
• Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling
• Bulk-boundary correspondence in point-gap topological phases
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• Emergent phase transition in Cluster Ising model with dissipation
• Topological synchronization of quantum van der Pol oscillators
• 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
• Inversion symmetric non-Hermitian Chern insulator
• Machine learning topological invariants of non-Hermitian systems
• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• Topological origin of quantized transport in non-Hermitian Floquet chains
• Chiral coupling of magnons in waveguides
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Connections between the Open-boundary Spectrum and Generalized Brillouin Zone in Non-Hermitian Systems
• Exact solution of the Bose Hubbard model with unidirectional hopping
• Nonreciprocal Charge and Spin Transport Induced by Non-Hermitian Skin Effect in Mesoscopic Heterojunctions
• Non-Hermitian topology of one-dimensional spin-torque oscillator arrays
• Braid Protected Topological Band Structures with Unpaired Exceptional Points
• Non-Hermitian anomalous skin effect
• Many-Body Non-Hermitian Skin Effect for Multipoles
• Non-Hermitian elastic waveguides with piezoelectric feedback actuation: non-reciprocal bands and skin modes
• Quantum Simulation of the Bosonic Kitaev Chain
• Klein-Gordon representation of acoustic waves and topological origin of surface acoustic modes
• Topology in non-Hermitian Chern insulators with skin effect
• Kubo formula for non-Hermitian systems and tachyon optical conductivity
• $\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
• Non-Hermitian topology in monitored quantum circuits
• Entanglement Spectrum Crossings Reveal non-Hermitian Dynamical Topology
• Topological energy braiding of the non-Bloch bands
• Partial topological Zak phase and dynamical confinement in non-Hermitian bipartite system
• Nonlinear Non-Hermitian Skin Effect and Skin Solitons in Temporal Photonic Feedforward Lattices
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Entanglement Entropy of Non-Hermitian Free Fermions
• Non-Hermitian skin effects on many-body localized and thermal phases
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Topological synchronization of coupled nonlinear oscillators
• Topological properties of multi-terminal superconducting nanostructures: effect of a continuous spectrum
• Non-Hermitian Maryland Model
• Hybrid higher-order skin-topological effect in hyperbolic lattices
• Non-Hermitian Absorption Spectroscopy
• Interaction induced bi-skin effect in an exciton-polariton system
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Universal platform of point-gap topological phases from topological materials
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Exceptional points make an astroid in non-Hermitian Lieb lattice: evolution and topological protection
• Non-Bloch quench dynamics
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• Topological phases protected by shifted sublattice symmetry in dissipative quantum systems
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Dynamic skin effects in non-Hermitian systems
• System size dependent topological zero modes in coupled topolectrical chains
• Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity
• Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
• Symmetry indicator in non-Hermitian systems
• Quadratic pseudospectrum for identifying localized states
• The fate of reentrant localization phenomenon in the one-dimensional dimerized quasiperiodic chain with long-range hopping
• Observation of Quantum metric and non-Hermitian Berry curvature in a plasmonic lattice
• 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
• General corner states in 2D SSH model with intracelluar next-nearest-neighbour hopping
• Unraveling the topology of dissipative quantum systems
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Non-Hermitian boundary spectral winding
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Spontaneous topological pumping in non-Hermitian systems
• Always-Real-Eigenvalued Non-Hermitian Topological Systems
• Exceptional points in the one-dimensional Hubbard model
• Non-Hermitian pseudo mobility edge in a coupled chain system
• Landau-Zener-Stückelberg Interferometry in $\mathcal{P}\mathcal{T}$-symmetric Non-Hermitian models
• Skin modes in a nonlinear Hatano-Nelson model
• Solvable non-Hermitian skin effect in many-body unitary dynamics
• The topological counterparts of non-Hermitian SSH models
• Exact Mobility Edges and Topological Phase Transition in Two-Dimensional non-Hermitian Quasicrystals
• Real spectra in non-Hermitian topological insulators
• Continuum of Bound States in a Non-Hermitian Model
• Non-Hermitian skin effect edge
• Amplification of quantum signals by the non-Hermitian skin effect
• Floquet engineering and simulating exceptional rings with a quantum spin system
• Bound states and photon emission in non-Hermitian nanophotonics
• Extended Bloch theorem for topological lattice models with open boundaries
• Manipulating non-Hermitian skin effect via electric fields
• Diagnosis of bulk phase diagram of non-reciprocal topological lattices by impurity modes
• Level statistics of real eigenvalues in non-Hermitian systems
• Topology of multipartite non-Hermitian one-dimensional systems
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Experimental observation of exceptional bound states in a classical circuit network
• Anderson localization transitions in disordered non-Hermitian systems with exceptional points
• Radiative topological biphoton states in modulated qubit arrays
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• A Non-Hermitian Moiré Valley Filter
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Topological enhancement of non-normality in non-Hermitian skin effects
• Observation of non-Hermitian antichiral edge currents
• Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect
• Erratic non-Hermitian skin localization
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Dissipative analog of four-dimensional quantum Hall physics
• Fractional charges in conventional sequential electron tunneling
• Stochastic non-Hermitian skin effect
• 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
• Exceptional points and their coalescence of PT-symmetric interface states in photonic crystals
• Magnetochiral Charge Pumping due to Charge Trapping and Skin Effect in Chirality-Induced Spin Selectivity
• Wannier-type photonic higher-order topological corner states induced solely by gain and loss
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Activity-induced phase transition in a quantum many-body system
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Entanglement dynamics in the many-body Hatano-Nelson model
• Out-of-time-ordered correlator in non-Hermitian quantum systems
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Perfect nonreciprocity by loss engineering
• Anderson transition at complex energies in one-dimensional parity-time-symmetric disordered systems
• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• Exact analogue of the Hatano-Nelson model in 1D continuous nonreciprocal systems
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Entanglement, non-Hermiticity, and duality
• Edge theory of non-Hermitian skin modes in higher dimensions
• Activating non-Hermitian skin modes by parity-time symmetry breaking
• Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Non-Hermitian topology in rock-paper-scissors games
• Observation of scale-free localized states induced by non-Hermitian defects
• Non-Hermiticity induces localization: good and bad resonances in power-law random banded matrices
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Non-Hermitian topological end breathers
• Non-Hermitian Weyl semimetal and its Floquet engineering
• Geometry and superfluidity of the flat band in a non-Hermitian optical lattice
• Percolation-induced PT symmetry breaking
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Quantum dynamics on a lossy non-Hermitian lattice
• A brief review of hybrid skin-topological effect
• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• Incoherent non-Hermitian skin effect in photonic quantum walks
• Topological optomechanical amplifier with synthetic $\mathcal{P}\mathcal{T}$-symmetry
• Hyperbolic Nodal Band Structures and Knot Invariants
• Quantized Angular Momentum in Topological Optical Systems
• Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
• Engineering Dissipative Quasicrystals
• Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Green's functions of multiband non-Hermitian systems
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Universal scalefree non-Hermitian skin effect near the Bloch point
• Prethermalization and nonreciprocal phonon transport in a levitated optomechanical array
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Breaking and resurgence of symmetry in the non-Hermitian Su-Schrieffer-Heeger model in photonic waveguides
• Effect of quantum jumps on non-Hermitian system
• Absence of logarithmic and algebraic scaling entanglement phases due to skin effect
• Skin effect and dynamical delocalization in non-Hermitian quasicrystals with spin-orbit interaction
• The bosonic skin effect: boundary condensation in asymmetric transport
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Two-dimensional quantum walk with non-Hermitian skin effects
• Non-Hermitian Topology in Hermitian Topological Matter
• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• Absence of measurement-induced entanglement transition due to feedback-induced skin effect
• Fate of exceptional points under interactions: Reduction of topological classifications
• Exceptional Cones in 4D Parameter Space
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Observation of a topological edge state stabilized by dissipation
• Topological zero modes and edge symmetries of metastable Markovian bosonic systems
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Machine learning non-Hermitian topological phases
• Dissipative Boundary State Preparation
• Non-linear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
• Non-Hermitian impurities in Dirac systems
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
• Generalized Bloch band theory for non-Hermitian bulk-boundary correspondence
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Irrational Non-Abelian Statistics for Non-Hermitian Generalization of Majorana Zero Modes
• Topological Phase Transitions of Generalized Brillouin Zone
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Non-Hermitian Second-Order Topological Phases and Bipolar Skin Effect in Photonic Kagome Crystals
• Non-reciprocal Exciton-Polariton Ring Lattices
• Topological Protection in non-Hermitian Haldane Honeycomb Lattices
• Accelerating Relaxation Dynamics in Open Quantum System with Liouvillian Skin Effect
• Reservoir-assisted symmetry breaking and coalesced zero-energy modes in an open PT-symmetric Su-Schrieffer-Heeger model
• The dilaton gravity hologram of double-scaled SYK
• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Universal non-Hermitian transport in disordered systems
• Enhanced eigenvector sensitivity and algebraic classification of sublattice-symmetric exceptional points
• Non-Bloch band theory for non-Hermitian continuum systems
• Self acceleration from spectral geometry in dissipative quantum-walk dynamics
• Emergent non-Hermitian models
• Full counting statistics in the many-body Hatano-Nelson model
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Chiral state transfer under dephasing
• Damping transition in an open generalized Aubry-André-Harper model
• Kinked linear response from non-Hermitian cold-atom pumping
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Non-Hermitian eigenvalue knots and their isotopic equivalence
• Realizing exceptional points by Floquet dissipative couplings in thermal atoms
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Nonreciprocal surface magnetoelastic dynamics
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Statistical mechanics for non-Hermitian quantum systems
• Non-Bloch band theory of generalized eigenvalue problems
• Topological characterization of non-Hermitian multiband systems using Majorana's Stellar Representation
• Quantum Control in Open and Periodically Driven Systems
• Insensitive edge solitons in a non-Hermitian topological lattice
• Non-Hermitian non-Abelian topological insulators with $PT$ symmetry
• Topological triple phase transition in non-Hermitian quasicrystals with complex asymmetric hopping
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Nonlinear Non-Hermitian Landau-Zener-Stückelberg-Majorana interferometry
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Fractional Quantum Zeno Effect Emerging from Non-Hermitian Physics
• Evidencing non-Bloch dynamics in temporal topolectrical circuits
• Ramsey interferometry of non-Hermitian quantum impurities
• Extended topological mode in a one-dimensional non-Hermitian acoustic crystal
• Complex Berry phase and imperfect non-Hermitian phase transitions
• Critical non-Hermitian topology induced quantum sensing
• Quantum criticality in interacting bosonic Kitaev-Hubbard models
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Steady-state edge burst: From free-particle systems to interaction-induced phenomena
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
• Competition of non-Hermitian skin effect and topological localization of corner states observed in circuits
• Non-Hermitian spectral flows and Berry-Chern monopoles
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Making topologically trivial non-Hermitian systems nontrivial via gauge fields
• Non-Hermitian topological mobility edges and transport in photonic quantum walks
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Observation of size-dependent boundary effects in non-Hermitian electric circuits
• Transforming space with non-Hermitian dielectrics
• Dynamical Transition due to Feedback-induced Skin Effect
• Localized states and skin effect around non-Hermitian impurities in tight-binding models
• Topological transport in the steady state of a quantum particle with dissipation
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Anderson localization versus hopping asymmetry in a disordered lattice
• Tunable two-dimensional laser arrays with zero-phase locking
• Filling up complex spectral regions through non-Hermitian disordered chains
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Exceptional points as signatures of dynamical magnetic phase transitions
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Wormholes, branes and finite matrices in sine dilaton gravity
• 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
• Non-Hermitian topological exciton-polariton corner modes
• Non-Hermitian edge burst without skin localizations
• Symmetry-protected localized states at defects in non-Hermitian systems
• Statistical properties of eigenvalues of the non-Hermitian Su-Schrieffer-Heeger model with random hopping terms
• Wideband tunable infrared topological plasmon polaritons in dimerized chains of doped-silicon nanoparticles
• Non-Hermitian second-order topological superconductors
• Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field
• Unsupervised learning of topological phase diagram using topological data analysis
• Topological properties of non-Hermitian Creutz Ladders
• Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
• Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
• Topological plasma transport from a diffusion view
• Many-body Non-Hermitian Skin Effect At Finite Temperatures
• Kramers' degeneracy for open systems in thermal equilibrium
• Spectral analysis, chiral disorder and topological edge states manifestation in open non-Hermitian Su-Schrieffer-Heeger chains
• A renormalization group approach to non-Hermitian topological quantum criticality
• Identifying non-Hermitian critical points with quantum metric
• $\mathcal{P}\mathcal{T}$ symmetry of the Su-Schrieffer-Heeger model with imaginary boundary potentials and next-nearest-neighboring coupling
• Real Non-Hermitian Energy Spectra Without Any Symmetry
• Non-Hermitian topological phase transitions for quantum spin Hall insulators
• Topological atomic spinwave lattices by dissipative couplings
• The simulation of non-Hermitian disordered system in linear circuits
• Scaling laws for non-Hermitian skin effect with long-range couplings
• Field theory of non-Hermitian disordered systems
• Topological superconductivity enhanced by exceptional points
• Non-Hermitian extended midgap states and bound states in the continuum
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\mathcal{P}\mathcal{T}$-symmetry breaking in a Floquet system
• Edge states at the boundary between topologically equivalent lattices
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Hybrid scaling properties of localization transition in a non-Hermitian disorder Aubry-André model
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet
• Non-Hermitian chiral anomalies
• Quantum-enhanced photoprotection in neuroprotein architectures emerges from collective light-matter interactions
• Topological Classification of Excitations in Quadratic Bosonic Systems
• Probing two-body exceptional points in open dissipative systems
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Driven-dissipative topological phases in parametric resonator arrays
• Quantum walks of correlated photons in non-Hermitian photonic lattices
• Non-Hermitian Avalanche Effect: Non-Perturbative Effect Induced by Local Non-Hermitian Perturbation on a Z2 Topological Order
• From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System
• $\mathcal{P}\mathcal{T}$-symmetry breaking in a Kitaev chain with one pair of gain-loss potentials
• A Tropical Geometric Approach To Exceptional Points
• Fate of Two-Particle Bound States in the Continuum in non-Hermitian Systems
• Phantom relaxation rate of the average purity evolution in random circuits due to Jordan non-Hermitian skin effect and magic sums
• Non-Hermitian higher-Order Weyl semimetal with surface diabolic points
• Non-Hermitian Fabry-Perot Resonances in a PT-symmetric system
• Dirac Points Embedded in the Continuum
• Braiding Topology of Non-Hermitian Open-Boundary Bands
• Non-Hermitian Hartman effect
• Non-Hermitian topological phases and skin effects in kagome lattices
• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• Variational quantum algorithms for scanning the complex spectrum of non-Hermitian systems
• 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
• Observation of disorder-induced boundary localization
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Characterizing and Tuning Exceptional Points Using Newton Polygons
• Exponentially Enhanced non-Hermitian Cooling
• Pseudospin-orbit coupling and non-Hermitian effects in the Quantum Geometric Tensor of a plasmonic lattice
• Emerging exceptional point with breakdown of skin effect in non-Hermitian systems
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Point-Gap Bound States in Non-Hermitian Systems
• Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
• Pseudomagnetic suppression of non-Hermitian skin effect
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model
• Many-body phase transitions in a non-Hermitian Ising chain
• Alice string in Non-Hermitian Systems
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Optomechanically induced transparency and directional amplification in a non-Hermitian optomechanical lattice
• Boundary sensitive Lindbladians and relaxation dynamics
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization
• Universal conductance of a PT-symmetric Luttinger liquid after a quantum quench
• Quantum transport in non-Hermitian impurity array
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Topology of multiple cross-linked Su-Schrieffer-Heeger chains
• Non-Hermitian skin effect in a spin-orbit-coupled Bose-Einstein condensate
• Topology of rotating stratified fluids with and without background shear flow
• Hidden zero modes and topology of multiband non-Hermitian systems
• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Skin Effect in Quadratic Lindbladian Systems: an Adjoint Fermion Approach
• Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
• Universal scaling of Green's functions in disordered non-Hermitian systems
• Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer
• Nonsymmetric evanescent coupling in photonics
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Dynamical signatures of point-gap Weyl semimetal
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• Exceptional Non-Hermitian Phases in Disordered Quantum Wires
• Non-Bloch PT symmetry breaking: Universal threshold and dimensional surprise
• Bulk-edge correspondence with generalized chiral symmetry
• Observation of non-local impedance response in a passive electrical circuit
• Topological modes in stellar oscillations
• Quantum theory of non-Hermitian optical binding between nanoparticles
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Harnessing $\mathcal{P}\mathcal{T}$-symmetry in non-Hermitian stiffness-modulated waveguides
• Real-space topological localizer index to fully characterize the dislocation skin effect
• Nontrivial worldline winding in non-Hermitian quantum systems
• Hermitian Topologies originating from non-Hermitian braidings
• State-dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Non-Hermitian BCS-BEC crossover of Dirac fermions
• Anomalous dynamical response of non-Hermitian topological phases
• Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit
• Topological Corner States in Graphene by Bulk and Edge Engineering
• Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing
• Nonhermitian defect states from lifetime differences
• Bulk-edge correspondence and trapping at a non-Hermitian topological interface
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Mesoscopic transport signatures of disorder-induced non-Hermitian phases
• Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
• Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation
• Selective and tunable excitation of topological non-Hermitian skin modes
• Work statistics in non-Hermitian evolutions with Hermitian endpoints
• Topological quantum optical states in quasiperiodic cold atomic chains
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Direct observation of energy band attraction effect in non-Hermitian systems
• Quantum-Classical Correspondence of Non-Hermitian Symmetry Breaking
• Multifractality of many-body non-Hermitian skin effect
• Protected chaos in a topological lattice
• Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer
• Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models
• 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
• The Interplay of Finite and Infinite Size Stability in Quadratic Bosonic Lindbladians
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields
• Floquet Exceptional Topological Insulator
• Quantum probing topological phase transitions by non-Markovianity
• Manipulation of Weyl Points in Reciprocal and Nonreciprocal Mechanical Lattices
• Non-reciprocal breathing solitons
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• From scale-free to Anderson localization: a size-dependent transition
• Phase Transitions in Nonreciprocal Driven-Dissipative Condensates
• Non-Hermitian boost deformation
• Topological transitions in dissipatively coupled Su-Schrieffer-Heeger models
• Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• Lindbladian dynamics with loss of quantum jumps
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Role of Topology in Relaxation of One-Dimensional Stochastic Processes
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Solvable dilation model of $\mathcal{P}\mathcal{T}$-symmetric systems
• Topological phonon polariton enhanced radiative heat transfer in bichromatic nanoparticle arrays mimicking Aubry-André-Harper model
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Topological circuit of a versatile non-Hermitian quantum system
• Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
• Interplay of nonreciprocity and nonlinearity on mean-field energy and dynamics of a Bose-Einstein condensate in a double-well potential
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
• Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
• Symmetry-Protected Topological Phase for Spin-Tensor-Momentum-Coupled Ultracold Atoms
• Long-range hopping in a quasiperiodic potential weakens the non-Hermitian skin effect
• Hard topological versus soft geometrical magnetic particle transport
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Biorthogonal topological charge pumping in non-Hermitian systems
• Generalized Lieb's theorem for noninteracting non-Hermitian $n$-partite tight-binding lattices
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• The non-Hermitian geometrical property of 1D Lieb lattice under Majorana's stellar representation
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Extrinsic Mechanisms of Phonon Magnetic Moment
• Non-Hermitian three-dimensional two-band Hopf insulator
• Transport effects in non-Hermitian nonreciprocal systems: General approach
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Dynamical localization transition in the non-Hermitian lattice gauge theory
• Discriminant indicators with generalized inversion symmetry
• Topological states and interplay between spin-orbit and Zeeman interactions in a spinful Su-Schrieffer-Heeger nanowire
• Information constraint in open quantum systems
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Complex semiclassical theory for non-Hermitian quantum systems
• Weyl point immersed in a continuous spectrum: an example from superconducting nanostructures
• Space-Time Duality between Quantum Chaos and Non-Hermitian Boundary Effect
• Floquet topological phase in a generalized PT-symmetric lattice
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Engineering imaginary stark ladder in a dissipative lattice: passive $\mathcal{P}\mathcal{T}$ symmetry, K symmetry and localized damping
• Correlations in non-Hermitian systems and Diagram techniques for the steady state
• Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
• Quasiperiodicity-induced bulk localization with self similarity in non-Hermitian systems
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Robust Bulk States
• Non-Hermitian laser arrays with tunable phase locking
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Non-Hermitian semi-Dirac semi-metals
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents
• Quantum quenches in a pseudo-Hermitian Chern insulator
• Soft topological modes protected by symmetry in rigid mechanical metamaterials
• Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems
• Eigenstate clustering around exceptional points
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Edge states in a non-Hermitian topological crystalline insulator
• Interaction-Induced Second-Order Skin Effect
• Effective impurity behavior emergent from non-Hermitian proximity effect
• Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
• Non-Hermitian Quantum Fractals
• Universal spectral moment theorem and its applications in non-Hermitian systems
• Non-Floquet engineering in periodically driven non-Hermitian systems
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Topological indicators for systems with open boundaries: Application to the Kitaev wire
• Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders
• Design nearly optimal quantum algorithm for linear differential equations via Lindbladians
• Non-Hermitian skin effect in a single trapped ion
• 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
• Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders
• Field Theoretical Study of Disorder in Non-Hermitian Topological Models
• Intrinsic-perturbation induced anomalous higher-order boundary states in non-Hermitian systems
• Practical quantum simulation of small-scale non-Hermitian dynamics
• Emergent $\mathcal{P}\mathcal{T}$-symmetry breaking of collective modes with topological critical phenomena
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Universal Time-Entanglement Trade-off in Open Quantum Systems
• Dynamics in non-Hermitian systems with nonreciprocal coupling
• Topological Insulators with Hybrid-order Boundary States
• Topological invariants of complex energy plane in non-Hermitian systems
• Competing topological phases in a non-Hermitian time-reversal symmetry-broken Bernevig-Hughes-Zhang model
• Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
• Braids and Higher-order Exceptional Points from the Interplay Between Lossy Defects and Topological Boundary States
• Defective Edge states and Anomalous Bulk-boundary Correspondence for Topological Insulators under Non-Hermitian Similarity Transformation
• Corner modes in non-Hermitian next-nearest-neighbor hopping model
• Majorana zero-modes in a dissipative Rashba nanowire
• Unveiling Eigenstate Thermalization for Non-Hermitian systems
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Exceptional magic angles in non-Hermitian twisted bilayer graphene
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Non-Hermitian physics of levitated nanoparticle array
• Localization and topological transitions in generalized non-Hermitian SSH models
• Topological enhancement of exciton-polariton coherence with non-Hermitian morphing
• Entangelment Entropy on Generalized Brillouin Zone
• Lindbladian versus Postselected Non-Hermitian Topology
• Steady-state topological order
• Floquet engineering flat bands for bosonic fractional quantum Hall in small lattices
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Electric polarization and its quantization in one-dimensional non-Hermitian chains
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Non-Hermitian superconducting diode effect
• $\mathcal{P}\mathcal{T}$ symmetry of a square-wave modulated two-level system
• Fate of pseudo mobility-edge and multiple states in non-Hermitian Wannier-Stark lattice
• Non-Hermitian skin effect and lasing of absorbing open-boundary modes in photonic crystals
• Symmetry classes of dissipative topological insulators with edge dark state
• General theory for infernal points in non-Hermitian systems
• Exceptional points and quantum phase transition in a fermionic extension of the Swanson oscillator
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Controlled probing of localization effects in the non-Hermitian Aubry-André model via topolectrical circuits
• Universal hard-edge statistics of non-Hermitian random matrices
• Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Non-Bloch dynamics and topology in a classical non-equilibrium process
• Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
• Wannier-Stark localization in one-dimensional amplitude-chirped lattices
• Self-trapping and skin solitons in two-dimensional non-Hermitian lattices
• Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Real spectra in one-dimensional single-band non-Hermitian Hamiltonians
• Quasi-stationary solutions in non-Hermitian systems
• Inner non-Hermitian skin effect on Bethe lattice
• Non-Hermitian entanglement dip from scaling-induced exceptional criticality
• Delocalization of skin steady states
• Multiple topological transitions and spectral singularities in non-Hermitian Floquet systems
• Non-Bloch band theory for time-modulated discrete mechanical systems
• Abnormal Frequency Response Determined by Saddle Points in Non-Hermitian Crystal Systems
• Non-Bloch Theory for Spatiotemporal Photonic Crystals Assisted by Continuum Effective Medium
• Formal Green's function theory in non-Hermitian lattice systems
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
• Localization transition in non-Hermitian systems depending on reciprocity and hopping asymmetry
• Quantum quench dynamics in the Luttinger liquid phase of the Hatano-Nelson model
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Topological Invariant for Multi-Band Non-hermitian Systems with Chiral Symmetry
• Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states
• Nonlinear Hall effects with an exceptional ring
• Exceptional stationary state in a dephasing many-body open quantum system
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Dissipative two-dimensional Raman lattice
• Adiabatic-impulse approximation in non-Hermitian Landau-Zener Model
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Complex entanglement entropy for complex conformal field theory
• Anomalous hybridization of spectral winding topology in quantized steady-state responses
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Efimov physics in the complex plane
• Non-Hermitian quantum gases: a platform for imaginary time crystals
• Anisotropic-scaling localization in higher-dimensional non-Hermitian systems
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Topological states at exceptional points
• Topological phase transition in fluctuating imaginary gauge fields
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Electronic polarization in non-Bloch band theory
• Emergent localized states at the interface of a twofold $\mathcal{P}\mathcal{T}$-symmetric lattice
• Observation of non-Hermitian many-body skin effects in Hilbert space
• Non-Hermitian tuned topological band gap
• The Quantum Skin Hall Effect
• Two-dimensional lattice with an imaginary magnetic field
• Inverse Design of Winding Tuple for Non-Hermitian Topological Edge Modes
• Real-time edge dynamics of non-Hermitian lattices
• Emergence of exceptional points and their spectroscopic signature in Dirac semimetal-dirty Superconductor heterojunction
• Topology of Discrete Quantum Feedback Control
• Non-Hermitian $C_{NH}=2$ Chern insulator protected by generalized rotational symmetry
• Spin-dependent gain and loss in photonic quantum spin Hall systems
• Machine learning of mirror skin effects in the presence of disorder
• Liouvillian skin effect in quantum neural networks
• Optical pumping through the Liouvillian skin effect
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• Many-body critical non-Hermitian skin effect
• Non-Hermitian Floquet-Free Analytically Solvable Time Dependant Systems
• Emergent non-Hermitian physics in generalized Lotka-Volterra model
• Emergent Non-Hermitian Edge Polarisation in an Hermitian Tight-binding Model
• Spontaneous Formation of Exceptional Points at the Onset of Magnetism
• Super-enhanced Sensitivity in Non-Hermitian Systems at Infernal Points
• Topological directed amplification
• Correlations at higher-order exceptional points in non-Hermitian models
• Non-Quantized Edge Channel Conductance and Zero Conductance Fluctuation in Non-Hermitian Chern Insulators
• Nodal phases in non-Hermitian wallpaper crystals
• Lack of near-sightedness principle in non-Hermitian systems
• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
• Impurity-induced counter skin-effect and linear modes in non-Hermitian systems
• Topological Phase Transition of A Non-Hermitian Crosslinked Chain
• Loss-induced universal one-way transport in periodically driven systems
• Unconventional quantum criticality in a non-Hermitian extended Kitaev chain
• Linear level repulsions near exceptional points of non-Hermitian systems
• Topologically compatible non-Hermitian skin effect
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Anomalous spectrum in a non-Hermitian quasiperiodic chain
• Restoration of non-Hermitian bulk-boundary correspondence by counterbalancing skin effect
• Phase transitions in non-Hermitian superlattices
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Wave-packet and entanglement dynamics in a non-Hermitian many-body system
• Enhancement of vibrationally assisted energy transfer by proximity to exceptional points, probed by fluorescence-detected vibrational spectroscopy
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Exceptional second-order topological insulators
• Optical non-Hermitian skin effect in two-dimensional uniform media
• Composite Quantum Phases in Non-Hermitian Systems
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Topology and its detection in a dissipative Aharonov-Bohm chain
• Sensitivity of topological edge states in a non-Hermitian dimer chain
• Theory for the spectral splitting exponent of exceptional points
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Manipulating Spectral Windings and Skin Modes through Nonconservative Couplings
• Duality between Generalized Non-Hermitian HN Model in Flat Space and Hermitian System in Curved space
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Non-Hermitian theory of valley excitons in two-dimensional semiconductors
• Spin-Depairing-Induced Exceptional Fermionic Superfluidity
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• Nonlinear skin breathing modes in one-dimensional nonreciprocal mechanical lattices
• Dual Symmetry Classification of Non-Hermitian Systems and ${\mathbb{Z}}_2$ Point-Gap Topology of a Non-Unitary Quantum Walk
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Non-Hermitian Boundary in a Surface Selective Reconstructed Magnetic Weyl Semimetal
• Cutting off the non-Hermitian boundary from an anomalous Floquet topological insulator
• Entanglement Spectrum Dynamics as a Probe for Non-Hermitian Bulk-Boundary Correspondence in Systems with Periodic Boundaries
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Exact solutions of non-Hermitian chains with asymmetric long-range hopping under specific boundary conditions
• Discriminant indicator with generalized rotational symmetry
• Chiral Dissociation of Bound Photon Pairs for a Non-Hermitian Skin Effect
• Emergent Topology in Many-Body Dissipative Quantum Matter
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Fate of localization features in a one-dimensional non-Hermitian flat-band lattice with quasiperiodic modulations
• Unveiling Non-Hermitian Spectral Topology in Hyperbolic Lattices with Non-Abelian Translation Symmetry
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Impurity in a Fermi gas under non-Hermitian spin-orbit coupling
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• Space-time symmetry and nonreciprocal parametric resonance in mechanical systems
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Ring-Frustrated Non-Hermitian $XY$ Model
• Symmetry induced selective excitation of topological states in SSH waveguide arrays
• The Future of the Correlated Electron Problem
• Winding Topology of Multifold Exceptional Points
• Random non-Hermitian action theory for stochastic quantum dynamics: from canonical to path integral quantization
• Topological phases of many-body non-Hermitian systems
• Topological extension including quantum jump
• Non-Hermitian skin effect and electronic nonlocal transport
• Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
• Fragmented exceptional points and their bulk and edge realizations in lattice models
• Topological analysis of the complex SSH model using the quantum geometric tensor
• Fixed points on band structures of non-Hermitian models: Extended states in the bandgap and ideal superluminal tunneling
• Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
• Resonant laser excitation and time-domain imaging of chiral topological polariton edge states
• Mixedness timescale in non-Hermitian quantum systems
• Fractional Thouless pumping of solitons: a unique manifestation of bulk-edge correspondence of nonlinear eigenvalue problems
• Direct Measurement of a Non-Hermitian Topological Invariant in a Hybrid Light-Matter System
• Hermitian and non-Hermitian topology in active matter
• Dissipative phase transition of interacting non-reciprocal fermions
• Defect-driven incoherent skin localization
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Bosonic Quantum Breakdown Hubbard Model
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• $\mathcal{P}\mathcal{T}$-symmetry phase transition in a Bose-Hubbard model with localized gain and loss
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Topological parafermion corner states in clock-symmetric non-Hermitian second-order topological insulator
• Gauge Field Induced Unconventional Skin Effect in Spinful Non-Hermitian Systems
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Controllable suppression of Non-Hermitian skin effects
• How to realize compact and non-compact localized states in disorder-free hypercube networks
• Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
• Spatial Filtering with Nonlocal Non-Hermitian Metasurfaces
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• 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
• Quasiparticle picture of topological phase transitions induced by interactions
• Exceptional topology in non-Hermitian twisted bilayer graphene
• Exceptional deficiency of non-Hermitian systems
• Transport and integrability-breaking in non-Hermitian many-body quantum systems
• Convection-modulated topological edge mode and extended-localized criticality in thermal metamaterials
• Non-Hermitian Multipole Skin Effects Challenge Localization
• Anderson-skin dualism: A boundary-dependent effect in non-Hermitian disordered coupled systems
• Topologically protected negative entanglement
• Experimental observation of energy-band Riemann surface
• Wave propagation in an elastic lattice with non-reciprocal stiffness and engineered damping
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• Non-Hermitian Topoelectrical Circuits: Expedient Tools for Topological State Engineering with Gain-Loss Modulation
• Dynamic transition of the density-matrix topology under parity-time symmetry
• Entanglement phases and phase transitions in monitored free fermion system due to localizations
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• Degenerate Topological Edge States in Multimer Chains
• Topological Photonic Systems: Virtuous Platforms to Study Topological Quantum Matter
• Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
• Non-Hermitian Hopf insulators
• Coherent transfer of topological domain walls
• Random non-Hermitian Hamiltonian framework for symmetry breaking dynamics
• Uncovering Exceptional Contours in non-Hermitian Hyperbolic Matter
• Exceptional Non-Hermitian Topology Associated with Non-Toroidal Brillouin Zones
• Exceptionally deficient topological square-root insulators
• Exceptional mode topological surface laser
• Dynamical symmetry in quantum dissipative models
• Diffusive Topological Transport in Spatiotemporal Thermal Lattices
• From Hermitian critical to non-Hermitian point-gapped phases
• Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
• 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
• Zero modes of velocity field and topological invariant in quantum torus
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Topological spin textures in electronic non-Hermitian systems
• Meissner effect in non-Hermitian superconductors
• PT-symmetric Non-Hermitian Hopf Metal
• Exceptional points in SSH-like models with hopping amplitude gradient
• Experimentally Probing Non-Hermitian Spectral Transition and Eigenstate Skewness
• Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle
• From Chiral Topological Dynamics to Chiral Topological Amplification: Real vs Imaginary Parameters in a Hermitian Bosonic Chain
• Symmetry-induced fragmentation and dissipative time crystal
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Dissipation-driven topological phase transitions in open quantum systems independent of system Hamiltonian
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Classical correspondence of the exceptional points in the finite non-Hermitian system
• An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
• Unifying Anderson transitions and topological amplification in non-Hermitian chains
• Topological and fractal defect states in non-Hermitian lattices
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials
• Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces
• Extracting the internal nonlocality from the dilated Hermiticity
• Fidelity zeros and Lee-Yang theory of quantum phase transitions
• Generalized Aubry-André-Harper model with power-law quasiperiodic potentials
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Concurrent Skin-scale-free Localization and Criticality under Möbius Boundary Conditions in a Non-Hermitian Ladder
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
• Machine learning topological energy braiding of non-Bloch bands
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Scattering States in One-Dimensional Non-Hermitian Baths
• Intrinsic non-Hermitian topological phases
• Exceptional points and defective resonances in an acoustic scattering system with sound-hard obstacles
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• 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
• Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
• Topological Phase Transitions and Edge-State Transfer in Time-Multiplexed Quantum Walks
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Adiabatic charge transport through non-Bloch bands
• Disorder-driven exceptional points and concurrent topological phase transitions in non-Hermitian systems
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Inter-species topological phases via a dynamical gauge field
• Recent progress on disorder-induced topological phases
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Optimal spectral transport of non-Hermitian systems
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Tailoring Corner States and Exceptional Points in Altermagnets
• An exceptional surface and its topology
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Edge states and persistent current in a PT-symmetric extended Su-Schrieffer-Heeger model with generic boundary conditions
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Dynamical transition in non-Hermitian Chern insulator
• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model
• Symmetry and Topology of Monitored Quantum Dynamics
• Topological Amplification of the Bosonic Kitaev Chain with Non-Uniform Loss
• Higher-order Topological Knots and the classification of non-Hermitian lattices under $C_n$ symmetry
• Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
• Noisy Stark probes as quantum-enhanced sensors
• Observation of novel robust edge states without bulk-boundary correspondence in non-Hermitian quantum walks
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• A Hermitian bypass to the non-Hermitian quantum theory
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• A spectrum-based shortcut method for topological systems
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Scaling of pseudospectra in exponentially sensitive lattices
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Topology and $\mathcal{P}\mathcal{T}$ Symmetry in a Non-Hermitian Su-Schrieffer-Heeger Chain with Periodic Hopping Modulation
• Topological invariant of velocity field in quantum systems
• The Origin of Aromaticity: Aromatic Compounds as Intrinsic Topological Superconductors with Majorana Fermion
• Non-Hermitian topology of transport in the quantum Hall phases in graphene
• Quantum-vacuum-protected topological edge polaritons
• Stronger sum uncertainty relations for non-Hermitian operators
• Origin of Robust ${\mathbb{Z}}_2$ Topological Phases in Stacked Hermitian Systems: Non-Hermitian Level Repulsion
• Semiclassical analysis of spin dynamics in the non-Hermitian Hubbard model
• Real and imaginary edge states in stacked Floquet honeycomb lattices
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory
• Precision-Induced Irreversibility in non-Hermitian systems
• Anomalous Non-Hermitian Topological Anderson Insulator
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
• Interacting many-body non-Hermitian systems as Markov chains
• Insensitive nonreciprocal edge breathers
• Self-healing of non-Hermitian topological skin modes
• Algebraic skin effect in two-dimensional non-Hermitian metamaterials
• Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Chiral Instabilities in Driven-Dissipative Quantum Liquids
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Supermetal-insulator transition in a non-Hermitian network model
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Anomalous Point-Gap Interactions Unveil the Mirage Bath
• One-directional polarization transport in electron/nuclear spin chains with loss and gain
• Magnetic field effects on the Kitaev model coupled to environment
• Application of Jordan Decomposition to Non-Hermitian Lattice Models with Spectrally-Isolated Lower Dimensional States
• Non-Hermitian Higher-Order Dirac Semimetals
• Non-Hermitian Higher-Order Weyl Semimetals
• Scaling rule in critical non-Hermitian skin effect
• The analytically tractable zoo of similarity-induced exceptional structures
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal
• Exceptional topology on nonorientable manifolds
• Non-Hermitian second-order topological insulator with point gap
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Topological Photonics on a Small Scale
• Covariant formulation of the Berry connection in non-Hermitian systems
• Boundary critical phenomena in the quantum Ashkin-Teller model
• Non-orientable Exceptional Points in Twisted Boundary Systems
• On the origin of energy gaps in quasicrystalline potentials
• Algebraic States in Continuum in $d>1$ Dimensional Non-Hermitian Systems
• Dissipation-induced bound states as a two-level system
• Large Chern numbers in a dissipative dice model
• Observation of non-Hermitian point gap in photonic crystals
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
• Correspondence between non-Hermitian topology and directional amplification in the presence of disorder
• Exceptional flat bands in bipartite non-Hermitian lattices
• Exponential $U(1)$ Symmetry-Breaking Phase as a Disorder-Free Quantum Glass
• Hall conductance of a non-Hermitian two-band system with k-dependent decay rates
• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions
• Geometric phase from encircling an exceptional point of a quantum resonance in the complex-scaling method
• Reversing non-Hermitian skin accumulation with a non-local transverse switch
• QFT Realization of Non-Unitary $\mathfrak{sl}(2,\mathbb{C})$ WRT Invariants and Their Galois Conjugations
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains
• Floquet multiple exceptional points with higher-order skin effect
• Fate of Majorana zero modes by a modified real-space-Pfaffian method and mobility edges in a one-dimensional quasiperiodic lattice
• Symmetry and Topology of Successive Quantum Feedback Control
• Illuminating the bulk-boundary correspondence of a non-Hermitian stub lattice with Majorana stars
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Beyond characteristic equations: A unified one-dimensional non-Bloch band theory via wavefunction data
• Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems
• Robust interface-state laser in non-Hermitian micro-resonator arrays
• Single-photon superradiance and subradiance in helical collectives of quantum emitters
• Topology of the generalized Brillouin zone of one-dimensional models
• Winding-control mechanism of non-Hermitian systems
• Braiding of dynamical eigenvalues of Hermitian bosonic Kitaev chains
• A new Berry phase term in parity-time symmetric non-Hermitian spin-1/2 quantum systems
• Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals
• The $\mathcal{P}\mathcal{T}$-symmetry-breaking transition in a chain of trapped interacting ions
• Geometric criterion of topological phase transition for non-Hermitian systems
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential
• Supercharging exceptional points: Full-spectrum pairwise coalescence in non-Hermitian systems
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• Non-Hermitian physics and topological phenomena in convective thermal metamaterials
• Recurrence method in Non-Hermitian Systems
• Spread complexity and localization in $\mathcal{P}\mathcal{T}$-symmetric systems
• Dynamical Quantum Phase Transitions and Many-Body Backflow in Open Quantum Systems
• Emulating non-Hermitian dynamics in a finite non-dissipative quantum system
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• Simulating monitoring-induced topological phase transitions with small systems
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes
• Shannon Entropy and Diffusion Coeffcient in Parity-Time Symmetric Quantum Walks
• $q$th-root non-Hermitian Floquet topological insulators