Symmetry and Topology in Non-Hermitian Physics

Abstract

We develop a complete theory of symmetry and topology in non-Hermitian physics. We demonstrate that non-Hermiticity ramifies the celebrated Altland-Zirnbauer symmetry classification for insulators and superconductors. In particular, charge conjugation is defined in terms of transposition rather than complex conjugation due to the lack of Hermiticity, and hence chiral symmetry becomes distinct from sublattice symmetry. It is also shown that non-Hermiticity enables a Hermitian-conjugate counterpart of the Altland-Zirnbauer symmetry. Taking into account sublattice symmetry or pseudo-Hermiticity as an additional symmetry, the total number of symmetry classes is 38 instead of 10, which describe intrinsic non-Hermitian topological phases as well as non-Hermitian random matrices. Furthermore, due to the complex nature of energy spectra, non-Hermitian systems feature two different types of complex-energy gaps, point-like and line-like vacant regions. On the basis of these concepts and K-theory, we complete classification of non-Hermitian topological phases in arbitrary dimensions and symmetry classes. Remarkably, non-Hermitian topology depends on the type of complex-energy gaps and multiple topological structures appear for each symmetry class and each spatial dimension, which are also illustrated in detail with concrete examples. Moreover, the bulk-boundary correspondence in non-Hermitian systems is elucidated within our framework, and symmetries preventing the non-Hermitian skin effect are identified. Our classification not only categorizes recently observed lasing and transport topological phenomena, but also predicts a new type of symmetry-protected topological lasers with lasing helical edge states and dissipative topological superconductors with nonorthogonal Majorana edge states. Furthermore, our theory provides topological classification of Hermitian and non-Hermitian free bosons.

arXiv comment52 pages, 7 figures, 16 tables

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• Topological Crystalline Materials - General Formulation, Module Structure, and Wallpaper Groups -
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• Loss of Hall Conductivity Quantization in a Non-Hermitian Quantum Anomalous Hall Insulator
• A Classification of Non-Hermitian Random Matrices
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• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Non-Hermitian Topological End-Mode Lasing in Polariton Systems
• Defective Majorana zero modes in non-Hermitian Kitaev chain
• Exceptional odd-frequency pairing in non-Hermitian superconducting systems
• Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems
• Non-Majorana modes in diluted spin chains proximitized to a superconductor
• Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects
• Geometry-dependent skin effects in reciprocal photonic crystals
• Unconventional scaling at non-Hermitian critical points
• Symmetry and topological classification of Floquet non-Hermitian systems
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• Loss-induced Floquet non-Hermitian skin effect
• Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths
• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• Hybrid skin-topological effect induced by eight-site cells and arbitrary adjustment of the localization of topological edge states
• Untying links through anti-parity-time-symmetric coupling
• Ground-state quantum geometry in superconductor-quantum dot chains
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Theoretical Prediction of Non-Hermitian Skin Effect in Ultracold Atom Systems
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Topological synchronization of quantum van der Pol oscillators
• Emergent phase transition in Cluster Ising model with dissipation
• Bulk-boundary correspondence in point-gap topological phases
• Introduction to quantum non-reciprocal interactions: from non-Hermitian Hamiltonians to quantum master equations and quantum feedforward schemes
• Topological spin excitations in non-Hermitian spin chains with a generalized kernel polynomial algorithm
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• Machine learning topological invariants of non-Hermitian systems
• Spectral Properties of Disordered Interacting Non-Hermitian Systems
• Connections between the Open-boundary Spectrum and Generalized Brillouin Zone in Non-Hermitian Systems
• Topological origin of quantized transport in non-Hermitian Floquet chains
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• Many-Body Non-Hermitian Skin Effect for Multipoles
• Braid Protected Topological Band Structures with Unpaired Exceptional Points
• Exact solution of the Bose Hubbard model with unidirectional hopping
• Non-Hermitian topology of one-dimensional spin-torque oscillator arrays
• Entanglement Spectrum Crossings Reveal non-Hermitian Dynamical Topology
• Non-Hermitian elastic waveguides with piezoelectric feedback actuation: non-reciprocal bands and skin modes
• Non-Hermitian topology in monitored quantum circuits
• Nonlinear Non-Hermitian Skin Effect and Skin Solitons in Temporal Photonic Feedforward Lattices
• High-fidelity realization of the AKLT state on a NISQ-era quantum processor
• Topology in non-Hermitian Chern insulators with skin effect
• Non-Hermitian Maryland Model
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Non-Hermitian Stark Many-Body Localization
• Lieb-Schultz-Mattis Theorem in Open Quantum Systems
• Interaction induced bi-skin effect in an exciton-polariton system
• Hybrid higher-order skin-topological effect in hyperbolic lattices
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Topology protects chiral edge currents in stochastic systems
• Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
• Squaring the fermion: The threefold way and the fate of zero modes
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Topological phases protected by shifted sublattice symmetry in dissipative quantum systems
• Anomaly in dynamical quantum phase transition in non-Hermitian system with extended gapless phases
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Universal platform of point-gap topological phases from topological materials
• Symmetry indicator in non-Hermitian systems
• Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity
• Exceptional points make an astroid in non-Hermitian Lieb lattice: evolution and topological protection
• Non-Bloch quench dynamics
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Always-Real-Eigenvalued Non-Hermitian Topological Systems
• Unraveling the topology of dissipative quantum systems
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Observation of Quantum metric and non-Hermitian Berry curvature in a plasmonic lattice
• Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems
• Non-Hermitian many-body topological excitations in interacting quantum dots
• Quantum metric of non-Hermitian Su-Schrieffer-Heeger systems
• Exceptional points in the one-dimensional Hubbard model
• The topological counterparts of non-Hermitian SSH models
• Continuum of Bound States in a Non-Hermitian Model
• Real spectra in non-Hermitian topological insulators
• Emergent $\mathcal{P}\mathcal{T}$ symmetry in a double-quantum-dot circuit QED set-up
• Impedance responses and size-dependent resonances in topolectrical circuits via the method of images
• Landau-Zener-Stückelberg Interferometry in $\mathcal{P}\mathcal{T}$-symmetric Non-Hermitian models
• Non-Hermitian pseudo mobility edge in a coupled chain system
• Skin modes in a nonlinear Hatano-Nelson model
• Solvable non-Hermitian skin effect in many-body unitary dynamics
• Amplification of quantum signals by the non-Hermitian skin effect
• Floquet engineering and simulating exceptional rings with a quantum spin system
• Symmetry-protected exceptional and nodal points in non-Hermitian systems
• Non-Hermitian skin effect edge
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Bound states and photon emission in non-Hermitian nanophotonics
• Topology of multipartite non-Hermitian one-dimensional systems
• Diagnosis of bulk phase diagram of non-reciprocal topological lattices by impurity modes
• Manipulating non-Hermitian skin effect via electric fields
• Level statistics of real eigenvalues in non-Hermitian systems
• Stability of Time-Reversal Symmetry Protected Topological Phases
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• Topological enhancement of non-normality in non-Hermitian skin effects
• Krylov fractality and complexity in generic random matrix ensembles
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Anderson localization transitions in disordered non-Hermitian systems with exceptional points
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Erratic non-Hermitian skin localization
• Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect
• Activity-induced phase transition in a quantum many-body system
• Generalized Berry phase for a bosonic Bogoliubov system with exceptional points
• Dissipative analog of four-dimensional quantum Hall physics
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Anderson transition at complex energies in one-dimensional parity-time-symmetric disordered systems
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Topological optomechanical amplifier with synthetic $\mathcal{P}\mathcal{T}$-symmetry
• Edge theory of non-Hermitian skin modes in higher dimensions
• Imaginary gauge transformation in momentum space and Dirac exceptional point
• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Cooper-pair transistor as a minimal topological quantum circuit
• Non-Hermitian dynamics and $\mathcal{P}\mathcal{T}$-symmetry breaking in interacting mesoscopic Rydberg platforms
• Polarization and entanglement spectrum in non-hermitian systems
• Disorder-induced exceptional and hybrid rings in Weyl/Dirac semimetals
• Non-Hermitian Weyl semimetal and its Floquet engineering
• A brief review of hybrid skin-topological effect
• Non-Hermitian phase-biased Josephson junctions
• Percolation-induced PT symmetry breaking
• Spectral localizer for line-gapped non-hermitian systems
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Persistence of Topological Phases in Non-Hermitian Quantum Walks
• Lyapunov equation in open quantum systems and non-Hermitian physics
• Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Bulk-edge correspondence in nonunitary Floquet systems with chiral symmetry
• Pseudo-chirality: a manifestation of Noether's theorem in non-Hermitian systems
• Chiral symmetry in non-Hermitian systems: product rule and Clifford algebra
• Skin effect and dynamical delocalization in non-Hermitian quasicrystals with spin-orbit interaction
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Breaking and resurgence of symmetry in the non-Hermitian Su-Schrieffer-Heeger model in photonic waveguides
• Topological zero modes and edge symmetries of metastable Markovian bosonic systems
• Current-voltage characteristics of the N-I-PT-symmetric non-Hermitian superconductor junction as a probe of non-Hermitian formalisms
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Non-Hermitian Topology in Hermitian Topological Matter
• Bulk Bogoliubov Fermi arcs in non-Hermitian superconducting systems
• Fate of exceptional points under interactions: Reduction of topological classifications
• Two-dimensional quantum walk with non-Hermitian skin effects
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Geometry and Topology Tango in Ordered and Amorphous Chiral Matter
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Enhanced eigenvector sensitivity and algebraic classification of sublattice-symmetric exceptional points
• Irrational Non-Abelian Statistics for Non-Hermitian Generalization of Majorana Zero Modes
• Non-linear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
• Degeneracies and symmetry breaking in pseudo-Hermitian matrices
• Experimental realization of stable exceptional chains protected by non-Hermitian latent symmetries unique to mechanical systems
• Entanglement phase transition due to reciprocity breaking without measurement or post-selection
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Emergent non-Hermitian models
• Non-Hermitian impurities in Dirac systems
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Non-Hermitian CT-Symmetric Spectral Protection of Nonlinear Defect Modes
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• Topological Protection in non-Hermitian Haldane Honeycomb Lattices
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Damping transition in an open generalized Aubry-André-Harper model
• 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
• Bulk-boundary correspondence in extended trimer Su-Schrieffer-Heeger model
• Chiral state transfer under dephasing
• Symmetry-induced higher-order exceptional points in two dimensions
• Chern number and Berry curvature for Gaussian mixed states of fermions
• Realizing exceptional points by Floquet dissipative couplings in thermal atoms
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Time-reversal symmetric topological metal
• Non-Abelian Braiding of Topological Edge Bands
• Insensitive edge solitons in a non-Hermitian topological lattice
• Ramsey interferometry of non-Hermitian quantum impurities
• Topological characterization of non-Hermitian multiband systems using Majorana's Stellar Representation
• Non-hermitian topology in multiterminal superconducting junctions
• Universal subdiffusive behavior at band edges from transfer matrix exceptional points
• Anisotropic Topological Anderson Transitions in Chiral Symmetry Classes
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Non-Hermitian non-Abelian topological insulators with $PT$ symmetry
• Equatorial Waves in Rotating Bubble-Trapped Superfluids
• Topological triple phase transition in non-Hermitian quasicrystals with complex asymmetric hopping
• Fractional Quantum Zeno Effect Emerging from Non-Hermitian Physics
• Non-Hermitian multiterminal phase-biased Josephson junctions
• Complex Berry phase and imperfect non-Hermitian phase transitions
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Real spectra, Anderson localization, and topological phases in one-dimensional quasireciprocal systems
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Making topologically trivial non-Hermitian systems nontrivial via gauge fields
• Critical non-Hermitian topology induced quantum sensing
• Exceptional degeneracies in non-Hermitian Rashba semiconductors
• New universality classes of the non-Hermitian Dirac operator in QCD-like theories
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Exceptional points as signatures of dynamical magnetic phase transitions
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Spacing distribution in the 2D Coulomb gas: Surmise and symmetry classes of non-Hermitian random matrices at non-integer $\beta$
• Krylov space approach to Singular Value Decomposition in non-Hermitian systems
• Statistical properties of eigenvalues of the non-Hermitian Su-Schrieffer-Heeger model with random hopping terms
• Robustness of Majorana edge states of short-length Kitaev chains coupled with environment
• Signature of PT-symmetric non-Hermitian superconductivity in angle-resolved photoelectron fluctuation spectroscopy
• Tunable two-dimensional laser arrays with zero-phase locking
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Extension of Noether's theorem in PT-symmetric systems and its experimental demonstration in an optical setup
• Non-Hermitian second-order topological superconductors
• Real Non-Hermitian Energy Spectra Without Any Symmetry
• Field theory of non-Hermitian disordered systems
• Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field
• Non-Hermitian topological phase transitions for quantum spin Hall insulators
• Topological atomic spinwave lattices by dissipative couplings
• Emergence of tunable exceptional points in altermagnet-ferromagnet junctions
• Kramers' degeneracy for open systems in thermal equilibrium
• A renormalization group approach to non-Hermitian topological quantum criticality
• Topological Transitions with an Imaginary Aubry-Andre-Harper Potential
• Topological superconductivity enhanced by exceptional points
• Andreev bound states in junctions formed by conventional and $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductors
• Engineering Interaction Dynamics in Active Resonant Photonic Structures
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Dissipative Preparation of Many-Body Quantum States: Towards Practical Quantum Advantage
• $Q$-Laguerre spectral density and quantum chaos in the Wishart-Sachdev-Ye-Kitaev model
• Non-Hermitian chiral anomalies
• Hybrid scaling properties of localization transition in a non-Hermitian disorder Aubry-André model
• Robust zero modes in non-Hermitian systems without global symmetries
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Topological Classification of Excitations in Quadratic Bosonic Systems
• Scrambling and operator entanglement in local non-Hermitian quantum systems
• Quantum metric on the Brillouin Zone in correlated electron systems and its relation to topology for Chern insulators
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• Exceptional dynamics of interacting spin liquids
• Observation of disorder-induced boundary localization
• Non-Hermitian topological phases and skin effects in kagome lattices
• Exceptional points in Fermi liquids with quadrupolar interactions
• Robust quantum boomerang effect in non-Hermitian systems
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Exponentially Enhanced non-Hermitian Cooling
• Braiding Topology of Non-Hermitian Open-Boundary Bands
• Non-Hermitian Fabry-Perot Resonances in a PT-symmetric system
• Driven-dissipative topological phases in parametric resonator arrays
• Non-hermiticity in spintronics: oscillation death in coupled spintronic nano-oscillators through emerging exceptional points
• Creating and controlling exceptional points of non-Hermitian Hamiltonians via homodyne Lindbladian invariance
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Emerging exceptional point with breakdown of skin effect in non-Hermitian systems
• Dynamical signatures of point-gap Weyl semimetal
• Nonreciprocal Amplification Transition in a Driven-Dissipative Quantum Network
• Hidden zero modes and topology of multiband non-Hermitian systems
• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Pseudospin-orbit coupling and non-Hermitian effects in the Quantum Geometric Tensor of a plasmonic lattice
• Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Boundary sensitive Lindbladians and relaxation dynamics
• Approximation formula for complex spacing ratios in the Ginibre ensemble
• Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
• Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
• Point-Gap Bound States in Non-Hermitian Systems
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Alice string in Non-Hermitian Systems
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Anomalous dynamical response of non-Hermitian topological phases
• Unitary Scattering Protected by Pseudo-Hermiticity
• Bulk-edge correspondence and trapping at a non-Hermitian topological interface
• Nontrivial worldline winding in non-Hermitian quantum systems
• Real-space topological localizer index to fully characterize the dislocation skin effect
• Nonhermitian defect states from lifetime differences
• Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit
• Hermitian Topologies originating from non-Hermitian braidings
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• State-dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Observables in non-Hermitian systems: A methodological comparison
• Non-Hermitian minimal Kitaev chains
• Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing
• Spatial and Spectral Mode-Selection Effects in Topological Lasers with Frequency-Dependent Gain
• Generalized Parametric Space, Parity Symmetry of Reflection, and Systematic Design Approach for Parity-Time Symmetric Photonic Systems
• Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice
• Giant non-reciprocity and gyration through modulation-induced Hatano-Nelson coupling in integrated photonics
• Exceptional Non-Hermitian Phases in Disordered Quantum Wires
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Uniform response theory of non-Hermitian systems: Non-Hermitian physics beyond the exceptional point
• Stability of topologically protected edge states in nonlinear quantum walks: Additional bifurcations unique to Floquet systems
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Squeezing-induced Topological Gap Opening on Bosonic Bogoliubov Excitations
• Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation
• Mesoscopic transport signatures of disorder-induced non-Hermitian phases
• Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry
• Multifractality of many-body non-Hermitian skin effect
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Topological quantum optical states in quasiperiodic cold atomic chains
• Adaptive variational low-rank dynamics for open quantum systems
• Floquet Exceptional Topological Insulator
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Selective and tunable excitation of topological non-Hermitian skin modes
• 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
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Versatile Braiding of Non-Hermitian Topological Edge States
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
• Proposal of a quantum version of active particles via a nonunitary quantum walk
• Fate of Topological Edge States in Disordered Periodically-driven Nonlinear Systems
• Non-Hermitian boost deformation
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Phase Transitions in Nonreciprocal Driven-Dissipative Condensates
• Symmetry-protected topological magnons in three dimensional Kitaev materials
• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• Analysis of Dirac exceptional points and their isospectral Hermitian counterparts
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Universal Stochastic Equations of Monitored Quantum Dynamics
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• Topological $n$-root Su-Schrieffer-Heeger model in a non-Hermitian photonic ring system
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Complex semiclassical theory for non-Hermitian quantum systems
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Engineering imaginary stark ladder in a dissipative lattice: passive $\mathcal{P}\mathcal{T}$ symmetry, K symmetry and localized damping
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Generalized Lieb's theorem for noninteracting non-Hermitian $n$-partite tight-binding lattices
• Grating-based microcavity with independent control of resonance energy and linewidth for non-Hermitian polariton system
• Replica Symmetry Breaking for the Integrable Two-Site Sachdev-Ye-Kitaev Model
• Discriminant indicators with generalized inversion symmetry
• 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
• Surface exceptional points in a topological Kondo insulator
• Violation and Revival of Kramers' Degeneracy in Open Quantum Systems
• Information constraint in open quantum systems
• The non-Hermitian geometrical property of 1D Lieb lattice under Majorana's stellar representation
• Coalescing Majorana edge modes in non-Hermitian PT-symmetric Kitaev chain
• Non-Floquet engineering in periodically driven non-Hermitian systems
• Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
• Effective impurity behavior emergent from non-Hermitian proximity effect
• General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents
• Higher-order topology protected by latent crystalline symmetries
• Interaction-Induced Second-Order Skin Effect
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Design nearly optimal quantum algorithm for linear differential equations via Lindbladians
• Braiding topology of symmetry-protected degeneracy points in non-Hermitian systems
• Intensity $g^{(2)}$-correlations in random fiber lasers: A random matrix theory approach
• Soft topological modes protected by symmetry in rigid mechanical metamaterials
• Quantum quenches in a pseudo-Hermitian Chern insulator
• Quasiperiodicity-induced bulk localization with self similarity in non-Hermitian systems
• Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Multitude of exceptional points in van der Waals magnets
• Emergent multi-loop nested point gap in a non-Hermitian quasiperiodic lattice
• Universal spectral moment theorem and its applications in non-Hermitian systems
• Edge states in a non-Hermitian topological crystalline insulator
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Accelerating multipartite entanglement generation in non-Hermitian superconducting qubits
• Non-Hermitian skin effect and lasing of absorbing open-boundary modes in photonic crystals
• Krein-unitary Schrieffer-Wolff transformation and band touchings in bosonic Bogoliubov-de Gennes and other Krein-Hermitian Hamiltonians
• Phase Transitions and Virtual Exceptional Points in Quantum Emitters Coupled to Dissipative Baths
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Universal Time-Entanglement Trade-off in Open Quantum Systems
• Quantization of the mean decay time for non-Hermitian quantum systems
• Edge state in AB-stacked bilayer graphene and its correspondence with SSH ladder
• $\mathcal{P}\mathcal{T}$ symmetry of a square-wave modulated two-level system
• Competing topological phases in a non-Hermitian time-reversal symmetry-broken Bernevig-Hughes-Zhang model
• Symmetry classes of dissipative topological insulators with edge dark state
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Corner modes in non-Hermitian next-nearest-neighbor hopping model
• Topological invariants of complex energy plane in non-Hermitian systems
• Harnessing Nonlinearity to Tame Wave Dynamics in Nonreciprocal Active Systems
• Majorana zero-modes in a dissipative Rashba nanowire
• Real spectra in one-dimensional single-band non-Hermitian Hamiltonians
• Towards the theory of types III and IV non-Hermitian Weyl fermions
• Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices
• Universal hard-edge statistics of non-Hermitian random matrices
• Intrinsic-perturbation induced anomalous higher-order boundary states in non-Hermitian systems
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Geometric contribution to adiabatic amplification in non-Hermitian systems
• Non-Hermitian superconducting diode effect
• Electric polarization and its quantization in one-dimensional non-Hermitian chains
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Exceptional magic angles in non-Hermitian twisted bilayer graphene
• General theory for infernal points in non-Hermitian systems
• Quantum geometry of bosonic Bogoliubov quasiparticles
• Field Theoretical Study of Disorder in Non-Hermitian Topological Models
• Non-Bloch dynamics and topology in a classical non-equilibrium process
• Berezinskii-Kosterlitz-Thouless localization-localization transitions in disordered two-dimensional quantized quadrupole insulators
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Lindbladian versus Postselected Non-Hermitian Topology
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Higher-order gap ratios of singular values in open quantum systems
• Dynamical Signatures of Liouvillian Flat Band
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Uhlmann holonomy against Lindblad dynamics of topological systems at finite temperatures
• Electronic polarization in non-Bloch band theory
• Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states
• Anomalous hybridization of spectral winding topology in quantized steady-state responses
• Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
• Dissipative two-dimensional Raman lattice
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Non-Bloch Theory for Spatiotemporal Photonic Crystals Assisted by Continuum Effective Medium
• Topological Classificaton of Non-Hermitian Gapless Phases: Exceptional Points and Bulk Fermi Arcs
• Efimov physics in the complex plane
• Chiral states in coupled-lasers lattice by on-site complex potential
• The Quantum Skin Hall Effect
• Non-Hermitian quantum gases: a platform for imaginary time crystals
• Topological Invariant for Multi-Band Non-hermitian Systems with Chiral Symmetry
• Unconventional steady states and topological phases in an open two-level non-Hermitian system
• Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model
• Quantum-optical implementation of non-Hermitian potentials for asymmetric scattering
• Topological Surface-plasmon-polaritons on Corrugated Metal-dielectric Surfaces
• Unsupervised interpretable learning of topological indices invariant under permutations of atomic bands
• Edge-selective extremal damping from topological heritage of dissipative Chern insulators
• Inner non-Hermitian skin effect on Bethe lattice
• Exceptional points and pseudo-Hermiticity in real potential scattering
• Spin-dependent gain and loss in photonic quantum spin Hall systems
• Inverse Design of Winding Tuple for Non-Hermitian Topological Edge Modes
• Topology of Discrete Quantum Feedback Control
• Nodal phases in non-Hermitian wallpaper crystals
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Lack of near-sightedness principle in non-Hermitian systems
• Extended unitarity and absence of skin effect in periodically driven systems
• Two-dimensional lattice with an imaginary magnetic field
• Néel vector controlled exceptional contours in $p$-wave magnet-ferromagnet junctions
• Anomalous proximity effect under Andreev and Majorana bound states
• Liouvillian skin effect in quantum neural networks
• Correlations at higher-order exceptional points in non-Hermitian models
• Loss-induced universal one-way transport in periodically driven systems
• Operator correlations in a quenched non-Hermitian Luttinger liquid
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• Chiral Hinge Transport in Disordered Non-Hermitian Second-Order Topological Insulators
• Linear level repulsions near exceptional points of non-Hermitian systems
• Real-time edge dynamics of non-Hermitian lattices
• Non-Hermitian $C_{NH}=2$ Chern insulator protected by generalized rotational symmetry
• Localization of Lindbladian Fermions
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Essential implications of similarities in non-Hermitian systems
• Exponential quantum advantages for practical non-Hermitian eigenproblems
• Theory for the spectral splitting exponent of exceptional points
• Exceptional second-order topological insulators
• Heat transport through an open coupled scalar field theory hosting stability-to-instability transition
• Exceptional Andreev spectrum and supercurrent in p-wave non-Hermitian Josephson junctions
• Non-Hermitian topological quantum states in a reservoir-engineered transmon chain
• Topology and its detection in a dissipative Aharonov-Bohm chain
• Dual Symmetry Classification of Non-Hermitian Systems and ${\mathbb{Z}}_2$ Point-Gap Topology of a Non-Unitary Quantum Walk
• Classical-quantum correspondence for two-level pseudo-Hermitian systems
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Quantum chaos in PT symmetric quantum systems
• Observation of Braid-Protected Unpaired Exceptional Points
• Discriminant indicator with generalized rotational symmetry
• Topological split-ring resonator based metamaterials with $\mathcal{P}\mathcal{T}$ symmetry relying on gain and loss
• Diagnosing thermalization dynamics of non-Hermitian quantum systems via GKSL master equations
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Tunable tachyon mass in the PT-broken massive Thirring model
• Recognizing critical lines via entanglement in non-Hermitian systems
• Signatures of exceptional points in multiterminal superconductor-normal metal junctions
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Non-Hermitian dynamical topological winding in photonic mesh lattices
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• Spin-Depairing-Induced Exceptional Fermionic Superfluidity
• Composite Quantum Phases in Non-Hermitian Systems
• Emergent Topology in Many-Body Dissipative Quantum Matter
• Winding Topology of Multifold Exceptional Points
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Topological classifications of quadratic bosonic excitations in closed and open systems with examples
• Space-time symmetry and nonreciprocal parametric resonance in mechanical systems
• Analytical Study of the Non-Hermitian Semiclassical Rabi Model
• Nonlinear skin breathing modes in one-dimensional nonreciprocal mechanical lattices
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Phase transitions in non-Hermitian superlattices
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Enhancement of vibrationally assisted energy transfer by proximity to exceptional points, probed by fluorescence-detected vibrational spectroscopy
• Fate of symmetry protected coherence in open quantum system
• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Duality between Generalized Non-Hermitian HN Model in Flat Space and Hermitian System in Curved space
• Non-Hermitian theory of valley excitons in two-dimensional semiconductors
• Disorder-induced phase transitions in double HgTe quantum wells
• Constructing vortex functions and basis states of Chern insulators: ideal condition, inequality from index theorem, and coherent-like states on von Neumann lattice
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Entanglement Spectrum Dynamics as a Probe for Non-Hermitian Bulk-Boundary Correspondence in Systems with Periodic Boundaries
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models
• Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model
• Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
• Topological analysis of the complex SSH model using the quantum geometric tensor
• Topological phases of many-body non-Hermitian systems
• Controlling the direction of topological transport in a non-Hermitian time-reversal symmetric Floquet ladder
• Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
• Controllable suppression of Non-Hermitian skin effects
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Symmetry classes of classical stochastic processes
• Topological phases in discrete stochastic systems
• Hermitian and non-Hermitian topology in active matter
• Exceptional topology in non-Hermitian twisted bilayer graphene
• Random non-Hermitian action theory for stochastic quantum dynamics: from canonical to path integral quantization
• Quasiparticle picture of topological phase transitions induced by interactions
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Gauge Field Induced Unconventional Skin Effect in Spinful Non-Hermitian Systems
• Dissipative phase transition of interacting non-reciprocal fermions
• Anderson-skin dualism: A boundary-dependent effect in non-Hermitian disordered coupled systems
• Fragmented exceptional points and their bulk and edge realizations in lattice models
• Non-Hermitian Josephson junctions with four Majorana zero modes
• Topological invariants and topological charges in photonic systems
• Non-Hermitian skin effect and electronic nonlocal transport
• Quantum geometrical effects in non-Hermitian systems
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Reconfigurable Non-Hermitian Soliton Combs using Dissipative Couplings and Topological Windings
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• 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
• Topological extension including quantum jump
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• Non-hermitian topology and entanglement in an optomechanical superlattice
• Spectral Statistics of Non-Hermitian Matrices and Dissipative Quantum Chaos
• Time-dependent driving and topological protection in the fractional Josephson effect
• Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
• Correspondence principle, dissipation, and Ginibre ensemble
• Unifying Anderson transitions and topological amplification in non-Hermitian chains
• Interactions-disorder duality and critical phenomena in nodal semimetals, dilute gases and other systems
• Nonequilibrium electron distribution function in a voltage-biased nanowire: A nonequilibrium Green's function approach
• Chiral and non-chiral swift mode conversion near an exception point with dynamic adiabaticity engineering
• Exceptional mode topological surface laser
• Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
• Dissipation-driven topological phase transitions in open quantum systems independent of system Hamiltonian
• Programmable non-Hermitian photonic quantum walks via dichroic metasurfaces
• From Chiral Topological Dynamics to Chiral Topological Amplification: Real vs Imaginary Parameters in a Hermitian Bosonic Chain
• Non-Hermitian Hopf insulators
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• PT-symmetric Non-Hermitian Hopf Metal
• Experimentally Probing Non-Hermitian Spectral Transition and Eigenstate Skewness
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Topological bosonic Bogoliubov excitations with sublattice symmetry
• Breakdown of Bulk-Radiation Correspondence in Radiative Photonic Lattices
• From Hermitian critical to non-Hermitian point-gapped phases
• Topological and fractal defect states in non-Hermitian lattices
• Topological spin textures in electronic non-Hermitian systems
• Random non-Hermitian Hamiltonian framework for symmetry breaking dynamics
• Robust nonequilibrium edge currents with and without band topology
• An unusual phase transition in a non-Hermitian Su-Schrieffer-Heeger model
• Degenerate Topological Edge States in Multimer Chains
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Observation of Embedded Topology in a Trivial Bulk via Projective Crystal Symmetry
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• Universal distributions from non-Hermitian Perturbation of Zero-Modes
• Exceptional Non-Hermitian Topology Associated with Non-Toroidal Brillouin Zones
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Dynamic transition of the density-matrix topology under parity-time symmetry
• Effective Conformal Field Theory generated from Pure and Dephased Chern insulator
• Topological Phases in a PT-Symmetric Dissipative Kitaev Chain
• Complex symmetric, self-dual, and Ginibre random matrices: Analytical results for three classes of bulk and edge statistics
• Non-Hermitian wave-packet dynamics and its realization within a non-Hermitian chiral cavity
• Optimal spectral transport of non-Hermitian systems
• Scaling of pseudospectra in exponentially sensitive lattices
• Symmetry classification correspondence between quadratic Lindbladians and their steady states
• Family of self-dual quasicrystals with critical Phases
• Symmetry induced enhancement in finite-time thermodynamic trade-off relations
• Semiclassical analysis of spin dynamics in the non-Hermitian Hubbard model
• Origin of Robust ${\mathbb{Z}}_2$ Topological Phases in Stacked Hermitian Systems: Non-Hermitian Level Repulsion
• Stronger sum uncertainty relations for non-Hermitian operators
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping
• Disorder-driven exceptional points and concurrent topological phase transitions in non-Hermitian systems
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Topological Phase Transitions and Edge-State Transfer in Time-Multiplexed Quantum Walks
• Scattering States in One-Dimensional Non-Hermitian Baths
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Propagation of light through amplifying honeycomb photonic lattice
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Topology and $\mathcal{P}\mathcal{T}$ Symmetry in a Non-Hermitian Su-Schrieffer-Heeger Chain with Periodic Hopping Modulation
• Zero modes and index theorems for non-Hermitian Dirac fermions
• Intrinsic non-Hermitian topological phases
• Dissipation and decoherence for generic open quantum systems
• Entanglement manifestation of knot topology in a non-Hermitian lattice
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Adiabatic charge transport through non-Bloch bands
• Dynamical transition in non-Hermitian Chern insulator
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• Solution of Wave Acceleration and Non-Hermitian Jump in Nonreciprocal Lattices
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Tunable chiral spiral phases in a non-Hermitian Ising-Gamma spin chain
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities
• Exploring Metamaterial Lasers through Non-Hermitian Scattering Formalism
• Photonic topological Anderson insulator in a two-dimensional atomic lattice
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• A Hermitian bypass to the non-Hermitian quantum theory
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Robust nonequilibrium surface currents in the 3D Hofstadter model
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Higher-order Topological Knots and the classification of non-Hermitian lattices under $C_n$ symmetry
• Topological Amplification of the Bosonic Kitaev Chain with Non-Uniform Loss
• Symmetry and Topology of Monitored Quantum Dynamics
• Symmetry-induced even/odd parity in charge and heat pumping
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Edge states and persistent current in a PT-symmetric extended Su-Schrieffer-Heeger model with generic boundary conditions
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• $\mathcal{P}\mathcal{T}$-like phase transitions from square roots of supersymmetric Hamiltonians
• Topological Invariant for Bosonic Bogoliubov-de Gennes Systems with Disorder
• Anomalous Point-Gap Interactions Unveil the Mirage Bath
• Theory of the Anderson transition in three-dimensional chiral symmetry classes: Connection to type-II superconductors
• Coupled-wire construction of non-Abelian higher-order topological phases
• Crystalline Spectral Form Factors
• Ferroelectricity in a magnon Bose-Einstein condensate: Nonreciprocal superfluidity, exceptional points, and Majorana bosons
• Scaling of Quantum Geometry Near the Non-Hermitian Topological Phase Transitions
• Observation of non-Hermitian point gap in photonic crystals
• Equatorial magnetoplasma waves
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
• Covariant formulation of the Berry connection in non-Hermitian systems
• Hexagonal Warping Control of Exceptional Points in Topological Insulator--Ferromagnetic Heterojunctions
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Non-Hermitian second-order topological insulator with point gap
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• Self-healing of non-Hermitian topological skin modes
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Limitations of SVD-Based Diagnostics for Non-Hermitian Many-Body Localization with Time-Reversal Symmetry
• Anomalous Non-Hermitian Topological Anderson Insulator
• Phase-Space Topology and Spectral Flow in Screened Magnetized Plasmas
• Bulk-boundary correspondence in topological two-dimensional non-Hermitian systems: Toeplitz operators and singular values
• Compound symmetries and double antisymmetry groups in linear time-invariant photonic systems
• Magnetic field effects on the Kitaev model coupled to environment
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Non-Hermitian Higher-Order Dirac Semimetals
• Emergence of Imaginary Time Crystals in the non-Hermitian Su-Schrieffer-Heeger model
• Simulating monitoring-induced topological phase transitions with small systems
• Recurrence method in Non-Hermitian Systems
• Lattice-induced wavefunction effects on trapped superfluids
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• Non-Hermiticities even in quantum systems that are closed
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains
• Proof of bulk-edge correspondence for band topology by Toeplitz algebra
• Non-orientable Exceptional Points in Twisted Boundary Systems
• Emergence of Hermitian topology from non-Hermitian knots
• Algebraic skin effect in two-dimensional non-Hermitian metamaterials
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• A new Berry phase term in parity-time symmetric non-Hermitian spin-1/2 quantum systems
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model
• Spin interactions and topological magnonics in chromium trihalide CrClBrI
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes
• The analytically tractable zoo of similarity-induced exceptional structures
• Exceptional flat bands in bipartite non-Hermitian lattices
• Illuminating the bulk-boundary correspondence of a non-Hermitian stub lattice with Majorana stars
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
• Antiferromagnetism and spin excitations in a two-dimensional non-Hermitian Hatano-Nelson flux model
• Supermetal-insulator transition in a non-Hermitian network model
• Exceptional topology on nonorientable manifolds
• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions
• Correspondence between non-Hermitian topology and directional amplification in the presence of disorder
• Symmetry and Topology of Successive Quantum Feedback Control
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• Winding-control mechanism of non-Hermitian systems
• Floquet multiple exceptional points with higher-order skin effect
• Interacting many-body non-Hermitian systems as Markov chains
• Dynamical Quantum Phase Transitions and Many-Body Backflow in Open Quantum Systems
• Non-linear sigma models for non-Hermitian random matrices in symmetry classes AI${}^{†}$ and AII${}^{†}$
• Topological Classification of Gapped/Gap-preserving Rational Space-Time Crystal Systems
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Topology of the generalized Brillouin zone of one-dimensional models
• Non-Hermitian Higher-Order Weyl Semimetals
• Large Chern numbers in a dissipative dice model
• Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems
• Synthetic high-order PT symmetry in a single coil resonator
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains