Exceptional Topology of Non-Hermitian Systems

Abstract

The current understanding of the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed. In particular, how the paramount and genuinely NH concept of exceptional degeneracies, at which both eigenvalues and eigenvectors coalesce, leads to phenomena drastically distinct from the familiar Hermitian realm is discussed. An immediate consequence is the ubiquitous occurrence of nodal NH topological phases with concomitant open Fermi-Seifert surfaces, where conventional band-touching points are replaced by the aforementioned exceptional degeneracies. Furthermore, new notions of gapped phases including topological phases in single-band systems are detailed, and the manner in which a given physical context may affect the symmetry-based topological classification is clarified. A unique property of NH systems with relevance beyond the field of topological phases consists of the anomalous relation between bulk and boundary physics, stemming from the striking sensitivity of NH matrices to boundary conditions. Unifying several complementary insights recently reported in this context, a picture of intriguing phenomena such as the NH bulk-boundary correspondence and the NH skin effect is put together. Finally, applications of NH topology in both classical systems including optical setups with gain and loss, electric circuits,s and mechanical systems and genuine quantum systems such as electronic transport settings at material junctions and dissipative cold-atom setups are reviewed.

35 pages, 7 figures

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• Simulating dynamic quantum phase transitions in photonic quantum walks
• Detecting topological invariants in nonunitary discrete-time quantum walks
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• Non-Hermitian systems and topology: A transfer-matrix perspective
• Tenfold Way for Quadratic Lindbladians
• Phase-dependent chiral transport and effective non-Hermitian dynamics in a bosonic Kitaev-Majorana chain
• Nodal-knot semimetals
• Signatures of three coalescing eigenfunctions
• Supersymmetric Optical Structures
• Pulling Pinned Polymers and Unzipping DNA
• Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• Supersymmetric mode converters
• Non-Hermitian band topology and skin modes in active elastic media
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Topological framework for directional amplification in driven-dissipative cavity arrays
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
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• Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
• Topological classification of non-Hermitian systems with reflection symmetry
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• Exceptional rings protected by emergent symmetry for mechanical systems
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• Dynamics and topology of non-Hermitian elastic lattices with non-local feedback control interactions
• Direct Probe of Topological Invariants Using Bloch Oscillating Quantum Walks
• Edge states at the interface of non-Hermitian systems
• Many-body approach to non-Hermitian physics in fermionic systems
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Non-Hermitian dynamics without dissipation in quantum systems
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• Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
• Non-Hermitian fractional quantum Hall states
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• Selective Population of Edge States in a 2D Topological Band System
• Disorder-induced exceptional points and nodal lines in Dirac superconductors
• Relation between exceptional points and the Kondo effect in $f$-electron materials
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• Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations
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• Localization in an imaginary vector potential
• Topological Phenomena in Classical Optical Networks
• Loschmidt echo and fidelity decay near an exceptional point
• Topological quantum walks: theory and experiments
• Vortices in a cylinder: Localization after depinning
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Cited by in corpus (926)

• Non-Hermitian Topology and Exceptional-Point Geometries
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
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• Universal non-Hermitian skin effect in two and higher dimensions
• Non-Hermitian Topological Sensors
• Non-Hermitian topological phenomena: A review
• Topological active matter
• Higher-order non-Hermitian skin effect
• Acoustic non-Hermitian skin effect from twisted winding topology
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• Topological Magnons: A Review
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Symmetry and Higher-Order Exceptional Points
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Non-Hermitian band topology and skin modes in active elastic media
• Realization of active metamaterials with odd micropolar elasticity
• Symmetry-protected multifold exceptional points and their topological characterization
• Non-Bloch band collapse and chiral Zener tunneling
• Transient non-Hermitian skin effect
• Skin effect and winding number in disordered non-Hermitian systems
• Non-Hermitian Edge Burst
• Controlling mass and energy diffusion with metamaterials
• Entanglement and dynamics of diffusion-annihilation processes with Majorana defects
• Simple formulas of directional amplification from non-Bloch band theory
• Observation of Acoustic Non-Hermitian Bloch Braids and Associated Topological Phase Transitions
• Nonunitary Scaling Theory of Non-Hermitian Localization
• Non-Hermitian chiral phononics through optomechanically-induced squeezing
• Non-reciprocal topological solitons in active metamaterials
• Cavity magnomechanics: from classical to quantum
• Observation of exceptional points and skin effect correspondence in non-Hermitian phononic crystals
• Quantum Non-Hermitian Topological Sensors
• Many-body topology of non-Hermitian systems
• Experimental Realization of Weyl Exceptional Rings in a Synthetic Three-Dimensional Non-Hermitian Phononic Crystal
• Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
• Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
• Hybrid skin-topological modes without asymmetric couplings
• Chirality as Generalized Spin-Orbit Interaction in Spintronics
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Guided accumulation of active particles by topological design of a second-order skin effect
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Exceptional Topological Insulators
• Topological Field Theory of Non-Hermitian Systems
• Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
• Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• Non-equilibrium stationary states of quantum non-Hermitian lattice models
• Inner Skin Effects on Non-Hermitian Topological Fractals
• Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
• Observation of non-Hermitian topology with non-unitary dynamics of solid-state spins
• Non-trivial point-gap topology and non-Hermitian skin effect in photonic crystals
• Entanglement view of dynamical quantum phase transitions
• Tutorial: synthetic frequency dimensions in dynamically modulated ring resonators
• Topological unidirectional guided resonances emerged from interband coupling
• Non-Hermitian Many-Body Localization with Open Boundaries
• Symmetry classes of open fermionic quantum matter
• Non-Hermitian skin effect and self-acceleration
• Perspective: non-Hermitian physics in magnetic systems
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• Liouvillian Skin Effect in an Exactly Solvable Model
• Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
• Non-Hermitian physics and master equations
• Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
• Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
• Observation of Exceptional Points in Thermal Atomic Ensembles
• Realizing exceptional points of any order in the presence of symmetry
• Electrically tunable Berry curvature and strong light-matter coupling in birefringent perovskite microcavities at room temperature
• Exceptional Spin Liquids from Couplings to the Environment
• Knot topology of exceptional point and non-Hermitian no-go theorem
• Anomalous Floquet non-Hermitian skin effect in a ring resonator lattice
• Magnetic suppression of non-Hermitian skin effects
• Dislocation Non-Hermitian Skin Effect
• Quantum time reflection and refraction of ultracold atoms
• Topological phases in ring resonators: recent progress and future prospects
• Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry
• Higher-Order Weyl-Exceptional-Ring Semimetals
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Exceptional Non-Abelian Topology in Multiband Non-Hermitian Systems
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Non-Hermitian Topological Phases: Principles and Prospects
• Creating boundaries along a synthetic frequency dimension
• Fundamental Sensitivity Limits for non-Hermitian Quantum Sensors
• Limit cycles turn active matter into robots
• Universality in driven open quantum matter
• Non-Hermitian Photonic Lattices: tutorial
• Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions
• Non-Hermitian skin effect beyond the tight-binding models
• Ultrafast and Anharmonic Rabi Oscillations between Non-Bloch-Bands
• Floquet engineering of point-gapped topological superconductors
• Emergence of PT-symmetry breaking in open quantum systems
• Non-Hermitian physics without gain or loss: the skin effect of reflected waves
• Optomechanical realization of the bosonic Kitaev-Majorana chain
• Higher-order exceptional point in a pseudo-Hermitian cavity optomechanical system
• Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
• Dimensional transmutation from non-Hermiticity
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• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
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• Non-Hermitian band topology with generalized inversion symmetry
• Non-Hermitian skin effect of dislocations and its topological origin
• Observation of non-Hermitian edge burst in quantum dynamics
• Non-Hermitian Mott Skin Effect
• Non-Hermitian Floquet Topological Matter -- A Review
• Experimental Demonstration of Controllable PT and anti-PT Coupling in a non-Hermitian Metamaterial
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• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
• Scale-free localization and PT symmetry breaking from local non-Hermiticity
• Topological thermal transport
• Observation of dynamical degeneracy splitting for the non-Hermitian skin effect
• Non-Hermitian Chiral Skin Effect
• Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
• Curving the space by non-Hermiticity
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• Measurement Induced Continuous Time Crystals
• Annihilation of exceptional points from different Dirac valleys in a 2D photonic system
• Non-Bloch band theory and bulk-edge correspondence in non-Hermitian systems
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
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• Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
• Biorthogonal quantum criticality in non-Hermitian many-body systems
• Sensitivity of non-Hermitian systems
• Topological origin of non-Hermitian skin effect in higher dimensions and uniform spectra
• Exceptional entanglement phenomena: non-Hermiticity meeting non-classicality
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• Helical Liquids in Semiconductors
• Exceptional odd-frequency pairing in non-Hermitian superconducting systems
• Fragility of Time-Reversal Symmetry Protected Topological Phases
• Quantum Entanglement of Non-Hermitian Quasicrystals
• Non-Hermitian Squeezed Polarons
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Symmetry and topological classification of Floquet non-Hermitian systems
• Geometry-dependent skin effects in reciprocal photonic crystals
• Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems
• Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths
• 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
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Dynamical quantum phase transitions in SYK Lindbladians
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Emergent phase transition in Cluster Ising model with dissipation
• Topological spin excitations in non-Hermitian spin chains with a generalized kernel polynomial algorithm
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Ultra-sensitive integrated circuit sensors based on high-order nonHermitian topological physics
• Resonant Excitation of Quasinormal Modes of Black Holes
• Braid Protected Topological Band Structures with Unpaired Exceptional Points
• Exact solution of the Bose Hubbard model with unidirectional hopping
• Nonreciprocal Charge and Spin Transport Induced by Non-Hermitian Skin Effect in Mesoscopic Heterojunctions
• Topology in non-Hermitian Chern insulators with skin effect
• Non-Hermitian topology in monitored quantum circuits
• Quantum Simulation of the Bosonic Kitaev Chain
• Nonlinear Non-Hermitian Skin Effect and Skin Solitons in Temporal Photonic Feedforward Lattices
• Kubo formula for non-Hermitian systems and tachyon optical conductivity
• $\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
• Topological energy braiding of the non-Bloch bands
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• Non-Hermitian Maryland Model
• Correlations at PT-symmetric quantum critical point
• Hybrid higher-order skin-topological effect in hyperbolic lattices
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Non-Hermitian Absorption Spectroscopy
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Square-root topological phase with time-reversal and particle-hole symmetry
• Self-organized swimming with odd elasticity
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Dynamic skin effects in non-Hermitian systems
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• Anomaly in dynamical quantum phase transition in non-Hermitian system with extended gapless phases
• Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained Categorization of Chern Insulators
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• Universal platform of point-gap topological phases from topological materials
• Non-Hermitian many-body topological excitations in interacting quantum dots
• Observation of Quantum metric and non-Hermitian Berry curvature in a plasmonic lattice
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Quadratic pseudospectrum for identifying localized states
• Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems
• Always-Real-Eigenvalued Non-Hermitian Topological Systems
• Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Continuum of Bound States in a Non-Hermitian Model
• Solvable non-Hermitian skin effect in many-body unitary dynamics
• Acoustic amplifying diode using non-reciprocal Willis coupling
• Exceptional points in the one-dimensional Hubbard model
• Non-Hermitian pseudo mobility edge in a coupled chain system
• What's knot to like? Observation of a linked loop quantum state
• Amplification of quantum signals by the non-Hermitian skin effect
• Non-Hermitian skin effect edge
• Floquet engineering and simulating exceptional rings with a quantum spin system
• Symmetry-protected exceptional and nodal points in non-Hermitian systems
• Manipulating non-Hermitian skin effect via electric fields
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Topology of multipartite non-Hermitian one-dimensional systems
• Anomalously large relaxation times in dissipative lattice models beyond the non-Hermitian skin effect
• Bound states and photon emission in non-Hermitian nanophotonics
• Loss-difference-induced localization in a non-Hermitian honeycomb photonic lattice
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• Adiabaticity in nonreciprocal Landau-Zener tunneling
• Universal phenomenology at critical exceptional points of nonequilibrium $O(N)$ models
• A Non-Hermitian Moiré Valley Filter
• Topological enhancement of non-normality in non-Hermitian skin effects
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Observation of non-Hermitian antichiral edge currents
• Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Erratic non-Hermitian skin localization
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Exact analogue of the Hatano-Nelson model in 1D continuous nonreciprocal systems
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Anderson transition at complex energies in one-dimensional parity-time-symmetric disordered systems
• Topological optomechanical amplifier with synthetic $\mathcal{P}\mathcal{T}$-symmetry
• Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
• Activating non-Hermitian skin modes by parity-time symmetry breaking
• Higher-order exceptional point in a blue-detuned non-Hermitian cavity optomechanical system
• Polarization and entanglement spectrum in non-hermitian systems
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Light-driven Lifshitz transitions in non-Hermitian multi-Weyl semimetals
• Edge theory of non-Hermitian skin modes in higher dimensions
• Geometry and superfluidity of the flat band in a non-Hermitian optical lattice
• Non-Hermitian topology in rock-paper-scissors games
• Non-Hermiticity induces localization: good and bad resonances in power-law random banded matrices
• Full spectrum of the Liouvillian of open dissipative quantum systems in the Zeno limit
• Incoherent non-Hermitian skin effect in photonic quantum walks
• Non-Hermitian phase-biased Josephson junctions
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Green's functions of multiband non-Hermitian systems
• Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain
• Spectral localizer for line-gapped non-hermitian systems
• Lyapunov equation in open quantum systems and non-Hermitian physics
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Absence of logarithmic and algebraic scaling entanglement phases due to skin effect
• The bosonic skin effect: boundary condensation in asymmetric transport
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Universal scalefree non-Hermitian skin effect near the Bloch point
• Breaking and resurgence of symmetry in the non-Hermitian Su-Schrieffer-Heeger model in photonic waveguides
• Topological phase transitions at finite temperature
• Bulk Bogoliubov Fermi arcs in non-Hermitian superconducting systems
• Experimental Liouvillian exceptional points in a quantum system without Hamiltonian singularities
• Non-Hermitian Topology in Hermitian Topological Matter
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Chiral Bell-state transfer via dissipative Liouvillian dynamics
• Fate of exceptional points under interactions: Reduction of topological classifications
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Current-voltage characteristics of the N-I-PT-symmetric non-Hermitian superconductor junction as a probe of non-Hermitian formalisms
• The non-Hermitian skin effect: A perspective
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Dissipative preparation of fractional Chern insulators
• Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics
• Enhanced eigenvector sensitivity and algebraic classification of sublattice-symmetric exceptional points
• Entanglement phase transition due to reciprocity breaking without measurement or post-selection
• High-order series expansion of non-Hermitian quantum spin models
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• Non-Hermitian Second-Order Topological Phases and Bipolar Skin Effect in Photonic Kagome Crystals
• Full counting statistics in the many-body Hatano-Nelson model
• Non-reciprocal Exciton-Polariton Ring Lattices
• Experimental realization of stable exceptional chains protected by non-Hermitian latent symmetries unique to mechanical systems
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Non-Bloch band theory for non-Hermitian continuum systems
• Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
• Dissipative Boundary State Preparation
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Self acceleration from spectral geometry in dissipative quantum-walk dynamics
• Emergent non-Hermitian models
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Non-linear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
• Universal non-Hermitian transport in disordered systems
• Driving quantum systems with repeated conditional measurements
• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Hexagonally warped exceptional physics in multi-Weyl semimetals
• The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas
• Damping transition in an open generalized Aubry-André-Harper model
• Non-Hermitian eigenvalue knots and their isotopic equivalence
• Realizing exceptional points by Floquet dissipative couplings in thermal atoms
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• The infinity-loop microresonator: A new integrated photonic structure working on an exceptional surface
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Topological phases and Anderson localization in off-diagonal mosaic lattices
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Non-Bloch band theory of generalized eigenvalue problems
• Symmetry-induced higher-order exceptional points in two dimensions
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Unsupervised Learning of Topological Non-Abelian Braiding in Non-Hermitian Bands
• Fractional Quantum Zeno Effect Emerging from Non-Hermitian Physics
• Non-Abelian Braiding of Topological Edge Bands
• Universal subdiffusive behavior at band edges from transfer matrix exceptional points
• Emerging topological bound states in Haldane model zigzag nanoribbons
• Extended topological mode in a one-dimensional non-Hermitian acoustic crystal
• Topological triple phase transition in non-Hermitian quasicrystals with complex asymmetric hopping
• Non-hermitian topology in multiterminal superconducting junctions
• Evidencing non-Bloch dynamics in temporal topolectrical circuits
• Anti-parity-time symmetry hidden in a damping linear resonator
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Critical non-Hermitian topology induced quantum sensing
• Dynamical Transition due to Feedback-induced Skin Effect
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Complex Berry phase and imperfect non-Hermitian phase transitions
• Non-Hermitian topology and criticality in photonic arrays with engineered losses
• Three-fold way of entanglement dynamics in monitored quantum circuits
• Competition of non-Hermitian skin effect and topological localization of corner states observed in circuits
• Making topologically trivial non-Hermitian systems nontrivial via gauge fields
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Single-mode lasing based on PT-breaking of two-dimensional photonic higher-order topological insulator
• 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
• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
• Steady-state edge burst: From free-particle systems to interaction-induced phenomena
• Non-Hermitian topological mobility edges and transport in photonic quantum walks
• Exceptional degeneracies in non-Hermitian Rashba semiconductors
• Localized states and skin effect around non-Hermitian impurities in tight-binding models
• Non-Hermitian multiterminal phase-biased Josephson junctions
• Exceptional points in oligomer chains
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Cooling and state preparation in an optical lattice via Markovian feedback control
• Quasiparticles of Decoherence Processes in Open Quantum Many-Body Systems: Incoherentons
• Exceptional point and hysteresis in perturbations of Kerr black holes
• 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
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Weyl points on non-orientable manifolds
• Filling up complex spectral regions through non-Hermitian disordered chains
• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Exceptional points as signatures of dynamical magnetic phase transitions
• Non-Hermitian extended midgap states and bound states in the continuum
• Observation of squeezed Chern insulator in an acoustic fractal lattice
• Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
• Identifying non-Hermitian critical points with quantum metric
• Topological atomic spinwave lattices by dissipative couplings
• Real Non-Hermitian Energy Spectra Without Any Symmetry
• Analytical non-Hermitian description of Photonic Crystals with arbitrary Lateral and Transverse symmetry
• Non-Hermitian zero-energy pinning of Andreev and Majorana bound states in superconductor-semiconductor systems
• Observation of universal dissipative dynamics in strongly correlated quantum gas
• Field theory of non-Hermitian disordered systems
• Non-Hermitian topological ohmmeter
• Topological superconductivity enhanced by exceptional points
• Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
• Topological Transitions with an Imaginary Aubry-Andre-Harper Potential
• Topological inverse Anderson insulator
• Measuring topological invariants for higher-order exceptional points in quantum three-mode systems
• Non-Hermitian second-order topological superconductors
• Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field
• Kramers' degeneracy for open systems in thermal equilibrium
• Emergence of tunable exceptional points in altermagnet-ferromagnet junctions
• Universal Hall conductance scaling in non-Hermitian Chern insulators
• Exceptional Points in the Baxter-Fendley Free Parafermion Model
• Non-Hermitian Hubbard model without the sign problem
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Finite-Frequency Topological Maxwell Modes in Mechanical Self-Dual Kagome Lattices
• Dissipative Preparation of Many-Body Quantum States: Towards Practical Quantum Advantage
• 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 modes and symmetry-protected topological states in open quantum systems
• Non-Hermitian Hartman effect
• Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• Non-Hermitian topological phases and skin effects in kagome lattices
• Braiding Topology of Non-Hermitian Open-Boundary Bands
• Quantum spin representation for the Navier-Stokes equation
• Enhancement of photon blockade via topological edge states
• Exponentially Enhanced non-Hermitian Cooling
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Phantom relaxation rate of the average purity evolution in random circuits due to Jordan non-Hermitian skin effect and magic sums
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Non-Hermitian higher-Order Weyl semimetal with surface diabolic points
• Dissipative Pairing Interactions: Quantum Instabilities, Topological Light, and Volume-Law Entanglement
• Exceptional dynamics of interacting spin liquids
• Topological gauge theory for mixed Dirac stationary states in all dimensions
• Dissipative dynamics in open XXZ Richardson-Gaudin models
• Characterizing and Tuning Exceptional Points Using Newton Polygons
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Correlations and Krylov spread for a non-Hermitian Hamiltonian: Ising chain with a complex-valued transverse magnetic field
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Hidden zero modes and topology of multiband non-Hermitian systems
• Point-Gap Bound States in Non-Hermitian Systems
• Pseudospin-orbit coupling and non-Hermitian effects in the Quantum Geometric Tensor of a plasmonic lattice
• Dynamical signatures of point-gap Weyl semimetal
• Polariton vortex Chern insulator
• Universal scaling of Green's functions in disordered non-Hermitian systems
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
• Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model
• Non-orthogonal cavity modes near exceptional points in the far field
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Creating and controlling exceptional points of non-Hermitian Hamiltonians via homodyne Lindbladian invariance
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Boundary sensitive Lindbladians and relaxation dynamics
• Robust topological feature against non-Hermiticity in Jaynes-Cummings Model
• Stable many-body localization under random continuous measurements in the no-click limit
• Many-body phase transitions in a non-Hermitian Ising chain
• Skin Effect in Quadratic Lindbladian Systems: an Adjoint Fermion Approach
• Nonsymmetric evanescent coupling in photonics
• Pseudomagnetic suppression of non-Hermitian skin effect
• Massive scalar perturbations in Kerr Black Holes: near extremal analysis
• Bulk-edge correspondence and trapping at a non-Hermitian topological interface
• Non-Bloch PT symmetry breaking: Universal threshold and dimensional surprise
• Anomalous dynamical response of non-Hermitian topological phases
• Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit
• Exceptional Non-Hermitian Phases in Disordered Quantum Wires
• Non-Hermitian minimal Kitaev chains
• Hermitian Topologies originating from non-Hermitian braidings
• Topological modes in stellar oscillations
• Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices
• Spatial and Spectral Mode-Selection Effects in Topological Lasers with Frequency-Dependent Gain
• Uniform response theory of non-Hermitian systems: Non-Hermitian physics beyond the exceptional point
• Observables in non-Hermitian systems: A methodological comparison
• Real-space topological localizer index to fully characterize the dislocation skin effect
• Quantum theory of non-Hermitian optical binding between nanoparticles
• Dynamics and Phases of Nonunitary Floquet Transverse-Field Ising Model
• Nontrivial worldline winding in non-Hermitian quantum systems
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Floquet Exceptional Topological Insulator
• Manipulation of Weyl Points in Reciprocal and Nonreciprocal Mechanical Lattices
• Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer
• Quantum-Classical Correspondence of Non-Hermitian Symmetry Breaking
• Fully solvable finite simplex lattices with open boundaries in arbitrary dimensions
• Electromagnetic Proximity Effect: Superconducting Magnonics and Beyond
• Non-reciprocal breathing solitons
• Dynamics of a quantum system interacting with white non-Gaussian baths: Poisson noise master equation
• Multifractality of many-body non-Hermitian skin effect
• Mesoscopic transport signatures of disorder-induced non-Hermitian phases
• Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models
• Selective and tunable excitation of topological non-Hermitian skin modes
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Versatile Braiding of Non-Hermitian Topological Edge States
• Dynamics of the Geometric Phase in Inhomogeneous Quantum Spin Chains
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields
• Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry
• Forecasting high-impact research topics via machine learning on evolving knowledge graphs
• Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation
• Classification of multiple arbitrary-order non-Hermitian singularities
• Formation of Exceptional Points in pseudo-Hermitian Systems
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Quantum tomography of a third-order exceptional point in a dissipative trapped ion
• Topological phonon polariton enhanced radiative heat transfer in bichromatic nanoparticle arrays mimicking Aubry-André-Harper model
• Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Anomalous spontaneous emission dynamics at chiral exceptional points
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Experimental observation of non-Markovian quantum exceptional points
• Third-order exceptional point in an ion-cavity system
• Hidden Critical Points in the Two-Dimensional $O(n>2)$ model: Exact Numerical Study of a Complex Conformal Field Theory
• Nonreciprocal Spin-Glass Transition and Aging
• Non-Hermitian boost deformation
• Black hole quasinormal mode resonances
• Interplay of nonreciprocity and nonlinearity on mean-field energy and dynamics of a Bose-Einstein condensate in a double-well potential
• Shortcuts to adiabatic state transfer in time-modulated two-level non-Hermitian systems
• Exceptional Points and Stability in Nonlinear Models of Population Dynamics having $\mathcal{P}\mathcal{T}$ symmetry
• Topological transitions in dissipatively coupled Su-Schrieffer-Heeger models
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• Electrically tunable liquid-crystal metasurfaces with patterned birefringence and dichroism
• Surface exceptional points in a topological Kondo insulator
• Violation and Revival of Kramers' Degeneracy in Open Quantum Systems
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Complex semiclassical theory for non-Hermitian quantum systems
• Transition from degeneracy to coalescence: theorem and applications
• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism
• $\mathcal{P}\mathcal{T}$ symmetry-protected exceptional cones and analogue Hawking radiation
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• Non-Hermitian dynamics of a two-spin system with PT symmetry
• Non-Hermitian control of localization in mosaic photonic lattices
• Generalized Lieb's theorem for noninteracting non-Hermitian $n$-partite tight-binding lattices
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Discriminant indicators with generalized inversion symmetry
• A Brief History of Free Parafermions
• 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
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Two-step relaxation in local many-body Floquet systems
• Topological $n$-root Su-Schrieffer-Heeger model in a non-Hermitian photonic ring system
• Dissipative light-matter coupling and anomalous dispersion in nonideal cavities
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents
• Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Yang-Lee Zeros in Quantum Phase Transition: An Entanglement Perspective
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Braiding topology of symmetry-protected degeneracy points in non-Hermitian systems
• Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders
• Edge states in a non-Hermitian topological crystalline insulator
• Interaction-Induced Second-Order Skin Effect
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Quantum Squeezing of Slow-Light Dark Solitons via Electromagnetically Induced Transparency
• Design nearly optimal quantum algorithm for linear differential equations via Lindbladians
• Quantum quenches in a pseudo-Hermitian Chern insulator
• Non-Hermitian laser arrays with tunable phase locking
• Universal spectral moment theorem and its applications in non-Hermitian systems
• Non-Hermitian semi-Dirac semi-metals
• Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
• Wireless energy transfer in non-Hermitian quantum battery
• Topological zero modes and correlation pumping in an engineered Kondo lattice
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Quasiperiodicity-induced bulk localization with self similarity in non-Hermitian systems
• Exceptional Point-enhanced Rydberg Atomic Electrometers
• Multitude of exceptional points in van der Waals magnets
• Topological indicators for systems with open boundaries: Application to the Kitaev wire
• Non-Hermitian Quantum Fractals
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Waveguide QED with dissipative light-matter couplings
• Practical quantum simulation of small-scale non-Hermitian dynamics
• Universal hard-edge statistics of non-Hermitian random matrices
• Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms
• KPZ fluctuations in finite volume
• Braids and Higher-order Exceptional Points from the Interplay Between Lossy Defects and Topological Boundary States
• Competing topological phases in a non-Hermitian time-reversal symmetry-broken Bernevig-Hughes-Zhang model
• Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices
• Non-Hermitian skin effect and lasing of absorbing open-boundary modes in photonic crystals
• Anomalous Hall effect from a non-Hermitian viewpoint
• Stacking-Induced Symmetry-Protected Topological Phase Transitions
• Entangelment Entropy on Generalized Brillouin Zone
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• General theory for infernal points in non-Hermitian systems
• Corner modes in non-Hermitian next-nearest-neighbor hopping model
• Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
• Exotic Topology in Ordinary Soft Matter
• Non-Bloch dynamics and topology in a classical non-equilibrium process
• Emergent $\mathcal{P}\mathcal{T}$-symmetry breaking of collective modes with topological critical phenomena
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Wannier-Stark localization in one-dimensional amplitude-chirped lattices
• Non-Hermitian superconducting diode effect
• Majorana zero-modes in a dissipative Rashba nanowire
• Exceptional magic angles in non-Hermitian twisted bilayer graphene
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Geometric contribution to adiabatic amplification in non-Hermitian systems
• Electric conductivity in non-Hermitian holography
• Fractal Nodal Band Structures
• Implementing non-Abelian Hatano-Nelson model in electric circuits
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Field Theoretical Study of Disorder in Non-Hermitian Topological Models
• Real spectra in one-dimensional single-band non-Hermitian Hamiltonians
• PT-Symmetry Breaking Transitions in Polymeric Systems
• Localization and topological transitions in generalized non-Hermitian SSH models
• Phase Transitions and Virtual Exceptional Points in Quantum Emitters Coupled to Dissipative Baths
• Towards the theory of types III and IV non-Hermitian Weyl fermions
• Controlled probing of localization effects in the non-Hermitian Aubry-André model via topolectrical circuits
• Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
• Complete quasinormal modes of Type-D black holes
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• Non-Bloch Theory for Spatiotemporal Photonic Crystals Assisted by Continuum Effective Medium
• Supersymmetric Free Fermions and Bosons: Locality, Symmetry and Topology
• Localization transition in non-Hermitian systems depending on reciprocity and hopping asymmetry
• Dephasing-assisted diffusive dynamics in superconducting quantum circuits
• Generalized Petermann factor of non-Hermitian systems at exceptional points
• On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation
• Quantum quench dynamics in the Luttinger liquid phase of the Hatano-Nelson model
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Edge-selective extremal damping from topological heritage of dissipative Chern insulators
• Topological Invariant for Multi-Band Non-hermitian Systems with Chiral Symmetry
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Gain-loss-induced non-Abelian Bloch braids
• Non-Hermitian Numerical Renormalization Group: Solution of the non-Hermitian Kondo model
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Third quantization for bosons: symplectic diagonalization, non-Hermitian Hamiltonian, and symmetries
• Unconventional steady states and topological phases in an open two-level non-Hermitian system
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Multiple topological transitions and spectral singularities in non-Hermitian Floquet systems
• Non-Hermitian quantum gases: a platform for imaginary time crystals
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Abnormal Frequency Response Determined by Saddle Points in Non-Hermitian Crystal Systems
• Inner non-Hermitian skin effect on Bethe lattice
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Nonlinear Hall effects with an exceptional ring
• Linear and Non-Linear Response of Quadratic Lindbladians
• Non-Hermitian fermions with effective mass
• Efficient and quantum-adaptive machine learning with fermion neural networks
• Dynamic transition from insulating state to eta-pairing state in a composite non-Hermitian system
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• Inverse Design of Winding Tuple for Non-Hermitian Topological Edge Modes
• Realization of geometric phase topology induced by multiple exceptional points
• Impurity-induced counter skin-effect and linear modes in non-Hermitian systems
• Essential implications of similarities in non-Hermitian systems
• Restoration of non-Hermitian bulk-boundary correspondence by counterbalancing skin effect
• Two-dimensional lattice with an imaginary magnetic field
• Nonadiabatic transitions in non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric two-level systems
• Gauge theory and mixed state criticality
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Emergent non-Hermitian physics in generalized Lotka-Volterra model
• Liouvillian skin effect in quantum neural networks
• Nodal phases in non-Hermitian wallpaper crystals
• Néel vector controlled exceptional contours in $p$-wave magnet-ferromagnet junctions
• Fidelity and criticality in the nonreciprocal Aubry-Andr{é}-Harper model
• Anomalous spectrum in a non-Hermitian quasiperiodic chain
• Emergence of exceptional points and their spectroscopic signature in Dirac semimetal-dirty Superconductor heterojunction
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Enhanced quantum sensing in time-modulated non-Hermitian systems
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Exponential quantum advantages for practical non-Hermitian eigenproblems
• Exact density profile in a tight-binding chain with dephasing noise
• Phase transitions as a manifestation of spontaneous unitarity violation
• Spontaneous Formation of Exceptional Points at the Onset of Magnetism
• Topology of Discrete Quantum Feedback Control
• Topological directed amplification
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices
• Enhancement of signal-to-noise ratio at a high-order exceptional point of coherent perfect absorption
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• Correlations at higher-order exceptional points in non-Hermitian models
• Topological photon pumping in quantum optical systems
• Riemann surfaces for integer counting processes
• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Non-Hermitian Boundary in a Surface Selective Reconstructed Magnetic Weyl Semimetal
• Non-Hermitian theory of valley excitons in two-dimensional semiconductors
• Chiral Dissociation of Bound Photon Pairs for a Non-Hermitian Skin Effect
• Quantum chaos in PT symmetric quantum systems
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• Winding Topology of Multifold Exceptional Points
• Phase transitions in non-Hermitian superlattices
• Non-Hermitian topological quantum states in a reservoir-engineered transmon chain
• Creating high-dimensional topological physics using a single ring resonator
• Topological classifications of quadratic bosonic excitations in closed and open systems with examples
• Spectra, eigenstates and transport properties of a $\mathcal{P}\mathcal{T}$-symmetric ring
• Theory for the spectral splitting exponent of exceptional points
• How do CPT-like symmetries shape the stability of geophysical flows?
• Discriminant indicator with generalized rotational symmetry
• Dynamically encircling an exceptional point through phase-tracked closed-loop control
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Topological states constructed by two different trivial quantum wires
• Exact solutions of non-Hermitian chains with asymmetric long-range hopping under specific boundary conditions
• Exceptional second-order topological insulators
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• Exceptional Andreev spectrum and supercurrent in p-wave non-Hermitian Josephson junctions
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• Non-reciprocal population dynamics in a quantum trimer
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Enhancement of vibrationally assisted energy transfer by proximity to exceptional points, probed by fluorescence-detected vibrational spectroscopy
• Unveiling Non-Hermitian Spectral Topology in Hyperbolic Lattices with Non-Abelian Translation Symmetry
• Observation of Braid-Protected Unpaired Exceptional Points
• Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain
• Manipulating Spectral Windings and Skin Modes through Nonconservative Couplings
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Correlated Nonreciprocity around Conjugate Exceptional Points
• Signatures of exceptional points in multiterminal superconductor-normal metal junctions
• Non-Hermitian dynamical topological winding in photonic mesh lattices
• Symmetry-protected Landau-Zener-Stückelberg-Majorana interference and non-adiabatic topological transport of edge states
• Gain engineering and atom lasing in a topological edge state in synthetic dimensions
• 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
• Topological Dynamics and Correspondences in Composite Exceptional Rings
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Implementation and topological characterization of Weyl exceptional rings in quantum-mechanical systems
• Hermitian and non-Hermitian topology in active matter
• Non-Hermitian chiral anomalies in interacting systems
• Slow approach to adiabaticity in many-body non-Hermitian systems: the Hatano-Nelson Model
• Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
• Zero-Threshold PT-Symmetric Polariton-Raman Laser
• Exceptional topology in non-Hermitian twisted bilayer graphene
• How to realize compact and non-compact localized states in disorder-free hypercube networks
• Random non-Hermitian action theory for stochastic quantum dynamics: from canonical to path integral quantization
• Characterizing topological pumping of charges in exactly solvable Rice-Mele chains of the non-Hermitian variety
• Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model
• Topological extension including quantum jump
• Topological state permutations in time-modulated non-Hermitian multiqubit systems with suppressed non-adiabatic transitions
• Topological Anderson insulators by latent symmetry
• Mixedness timescale in non-Hermitian quantum systems
• Topological Engineering of High-Order Exceptional Points through Transformation Optics
• Artificial Hawking radiation, weak pseudo-Hermiticity and Weyl semimetal blackhole analogy
• Solving Dicke superradiance analytically: A compendium of methods
• Non-Hermitian Multipole Skin Effects Challenge Localization
• Exceptional deficiency of non-Hermitian systems
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models
• Fragmented exceptional points and their bulk and edge realizations in lattice models
• Non-Hermitian Josephson junctions with four Majorana zero modes
• Anisotropic exciton-polaritons reveal non-Hermitian topology in van der Waals materials
• 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
• Controlling the direction of topological transport in a non-Hermitian time-reversal symmetric Floquet ladder
• Direct Measurement of a Non-Hermitian Topological Invariant in a Hybrid Light-Matter System
• Convection-modulated topological edge mode and extended-localized criticality in thermal metamaterials
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• Transport and integrability-breaking in non-Hermitian many-body quantum systems
• Dissipative frequency converter: from Lindblad dynamics to non-Hermitian topology
• Non-Hermitian Topoelectrical Circuits: Expedient Tools for Topological State Engineering with Gain-Loss Modulation
• Exceptional mode topological surface laser
• Scattering symmetry of diffusive systems
• Topological spin textures in electronic non-Hermitian systems
• Random non-Hermitian Hamiltonian framework for symmetry breaking dynamics
• Exceptional Non-Hermitian Topology Associated with Non-Toroidal Brillouin Zones
• Meissner effect in non-Hermitian superconductors
• Solving the Kinetic Ising Model with Non-Reciprocity
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Experimental observation of energy-band Riemann surface
• Interactions-disorder duality and critical phenomena in nodal semimetals, dilute gases and other systems
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Time-dependent driving and topological protection in the fractional Josephson effect
• Uncovering Exceptional Contours in non-Hermitian Hyperbolic Matter
• Topological and fractal defect states in non-Hermitian lattices
• From Chiral Topological Dynamics to Chiral Topological Amplification: Real vs Imaginary Parameters in a Hermitian Bosonic Chain
• Dissipation-driven topological phase transitions in open quantum systems independent of system Hamiltonian
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• Impurity flat band states in the diamond chain
• Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
• Topological insulators and geometry of vector bundles
• Dynamic transition of the density-matrix topology under parity-time symmetry
• Apodized photonic crystals: A non-dissipative system hosting multiple exceptional points
• Multitype entanglement dynamics induced by exceptional points
• Limits of the non-Hermitian description of decay models
• Topological Properties of Single-Particle States Decaying into a Continuum due to Interaction
• Laser induced $\mathcal{P}\mathcal{T}$-symmetry breaking in the fluctuations of electronic fluids
• Non-hermitian topology and entanglement in an optomechanical superlattice
• Dual opposing quadrature-PT symmetry
• Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle
• PT-symmetric Non-Hermitian Hopf Metal
• Experimentally Probing Non-Hermitian Spectral Transition and Eigenstate Skewness
• Direct measurement of the quantum geometric tensor in pseudo-Hermitian systems
• From Hermitian critical to non-Hermitian point-gapped phases
• Breakdown of Bulk-Radiation Correspondence in Radiative Photonic Lattices
• Fidelity zeros and Lee-Yang theory of quantum phase transitions
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• Non-Hermitian Hopf insulators
• Programmable non-Hermitian photonic quantum walks via dichroic metasurfaces
• Non-standard quantum algebras and infinite-dimensional PT-symmetric systems
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• Nonequilibrium electron distribution function in a voltage-biased nanowire: A nonequilibrium Green's function approach
• Topological Photonic Systems: Virtuous Platforms to Study Topological Quantum Matter
• Degenerate Topological Edge States in Multimer Chains
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials
• Quantum transport in nonlinear Rudner-Levitov models
• Non-Hermitian topological wall modes in rotating Rayleigh-Benard convection
• A quantum approach for optimal control
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Non-hermitian off-diagonal magnetic response of Dirac fermions
• Long-range interactions in Weyl dense atomic arrays protected from dissipation and disorder
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Multi-block exceptional points in open quantum systems
• Non-Hermitian topology of transport in the quantum Hall phases in graphene
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Non-Hermitian wave-packet dynamics and its realization within a non-Hermitian chiral cavity
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Recent progress on disorder-induced topological phases
• Signatures of quantum phases in a dissipative system
• Thermodynamics of analogue black holes in a non-Hermitian tight-binding model
• Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Many-Body Neural Network Wavefunction for a Non-Hermitian Ising Chain
• Quantized charge transport in disordered Floquet topological insulators in the absence of Anderson localization
• Noisy Stark probes as quantum-enhanced sensors
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• Does Cosmology require Hermiticity in Quantum Mechanics?
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• An exceptional surface and its topology
• Optimal spectral transport of non-Hermitian systems
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory
• A spectrum-based shortcut method for topological systems
• Entanglement manifestation of knot topology in a non-Hermitian lattice
• Disorder-driven exceptional points and concurrent topological phase transitions in non-Hermitian systems
• Topological band insulators without translational symmetry
• Third-order exceptional surface in a pseudo-Hermitian superconducting circuit
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Dynamical transition in non-Hermitian Chern insulator
• Non-Hermitian magnetic moment
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• Scattering Dynamics and Boundary States of a Non-Hermitian Dirac Equation
• Exceptional point rings and $PT$-symmetry in the non-Hermitian XY model
• Does Gravity Render Probability Quasilocal?
• Computation and Verification of Spectra for Non-Hermitian Systems
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Robustness of tripartite entangled states in passive PT-symmetric qubits
• Emergent non-Hermitian conservation laws at exceptional points
• Symmetry induced enhancement in finite-time thermodynamic trade-off relations
• Localized interfacial Phonon Modes at the Electronic Axion Domain Wall
• Adiabatic charge transport through non-Bloch bands
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
• Experimental Realization of Non-Abelian Permutations in a Three-State Non-Hermitian System
• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Intrinsic non-Hermitian topological phases
• Semiclassical analysis of spin dynamics in the non-Hermitian Hubbard model
• Exploring Metamaterial Lasers through Non-Hermitian Scattering Formalism
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Origin of Robust ${\mathbb{Z}}_2$ Topological Phases in Stacked Hermitian Systems: Non-Hermitian Level Repulsion
• Ultracold atomic lattice systems for simulating topological phases: A review
• Higher-order exceptional lines in a non-Hermitian JaynesCummings triangle
• Beyond characteristic equations: A unified one-dimensional non-Bloch band theory via wavefunction data
• Exceptional-point-controlled mode interaction in three-dimensional microcavities represented by generalized Husimi functions
• Photonic quantum Hall effects
• Anomalous Point-Gap Interactions Unveil the Mirage Bath
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Winding-control mechanism of non-Hermitian systems
• Non-Hermitian Gravitational Wave Scattering
• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions
• Floquet spin textures in optically pumped non-Hermitian surface states
• $q$th-root non-Hermitian Floquet topological insulators
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Non-equilibrium Dynamics of Three-Level Absorption Refrigerator at Third-Order Liouvillian Exceptional Points
• The analytically tractable zoo of similarity-induced exceptional structures
• Exceptional flat bands in bipartite non-Hermitian lattices
• Nonlocal pseudospin dynamics in a quantum Ising chain
• Zero Indirect Band Gap in Non-Hermitian Systems
• Non-Hermitian Effects in the Su-Schrieffer-Heeger model: Exploring Substrate Coupling and Decoupling Dynamics
• Symmetry and Topology of Successive Quantum Feedback Control
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• Theory of single molecule NMR detected by real time ESR
• Engineering qubit dynamics in open systems with photonic synthetic lattices
• Floquet multiple exceptional points with higher-order skin effect
• Reversing non-Hermitian skin accumulation with a non-local transverse switch
• Accelerated Non-Reciprocal Transfer of Energy Around an Exceptional Point
• Interacting many-body non-Hermitian systems as Markov chains
• Recurrence method in Non-Hermitian Systems
• Supercharging exceptional points: Full-spectrum pairwise coalescence in non-Hermitian systems
• Dynamical Quantum Phase Transitions and Many-Body Backflow in Open Quantum Systems
• Braiding of dynamical eigenvalues of Hermitian bosonic Kitaev chains
• Characterizing Liouvillian Exceptional Points Through Newton Polygons and Tropical Geometry
• Topology of the generalized Brillouin zone of one-dimensional models
• Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems
• Survival of Hermitian Criticality in the Non-Hermitian Framework
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential
• Complex-valued in-medium potential between heavy impurities in ultracold atoms
• Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and $\mathcal{P}\mathcal{T}$ Symmetry Breaking
• Coupled-wire construction of non-Abelian higher-order topological phases
• Immutable quantized transport in Floquet chains
• Replica Keldysh field theory of quantum-jump processes: General formalism and application to imbalanced and inefficient fermion counting
• Exponential $U(1)$ Symmetry-Breaking Phase as a Disorder-Free Quantum Glass
• Covariant formulation of the Berry connection in non-Hermitian systems
• Hexagonal Warping Control of Exceptional Points in Topological Insulator--Ferromagnetic Heterojunctions
• Phase transition from Weyl to self-linked semimetal using bi-circular laser
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
• Non-linear sigma models for non-Hermitian random matrices in symmetry classes AI${}^{†}$ and AII${}^{†}$
• Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal
• A weak pseudo-Hermitian two band model, artificial Hawking radiation and tunneling
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal
• Adiabaticity enhancement in the classical transverse field Ising chain, and its effective non-Hermitian description
• Higher-order Liouvillian exceptional points in the dissipative dynamics of quadratic fermions
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• Spectroscopic Signatures of a Liouvillian Exceptional Spectral Phase in a Collective Spin
• Precision-Induced Irreversibility in non-Hermitian systems
• Non-Markovian renormalization of optomechanical exceptional points
• Exploring Spectral Singularities in Dirac Semimetals: The Role of Non-Hermitian Physics and Dichroism
• Smoking Gun Signatures of Quasilocal Probability in Black Hole Ringdowns
• Evolution of Gaussian mixed states under the Markovian master equation for a driven quantum oscillator
• Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing
• Non-self-averaging topological Anderson insulator
• Environment-assisted squeezing in a coherently driven non-Hermitian degenerate parametric oscillator
• Chiral Magnons: Mechanisms and Research Progress
• Topological states of generalized dissipative Majorana wires
• Lossless broadband adiabatic polarizing beam splitting in a plasmonic system
• Emergence of Nodal-Knot Transitions by Disorder
• Nonreciprocal flow of fluctuations, populations and correlations between doubly coupled bosonic modes
• Non-Hermitian Higher-Order Weyl Semimetals
• Exceptional Luttinger Liquids from sublattice dependent interaction
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• Probability of a single current
• Non-Hermitian Higher-Order Dirac Semimetals
• Non-Hermitian Lindhard function and Friedel oscillations
• Magnetic field effects on the Kitaev model coupled to environment
• Quantifying non-Hermiticity using single- and many-particle quantum properties
• Correspondence between non-Hermitian topology and directional amplification in the presence of disorder
• Non-Hermitian physics and topological phenomena in convective thermal metamaterials
• Non-Hermitian topology in molecules: Prediction of fractional quantum number
• Localization with non-Hermitian off-diagonal disorder
• First-principles studies of fermiology in topological phases of bulk ZrTe${}_5$
• Supermetal-insulator transition in a non-Hermitian network model
• Equatorial magnetoplasma waves
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Functional renormalization group for non-Hermitian and $\mathcal{P}\mathcal{T}$-symmetric systems
• Emergence of Hermitian topology from non-Hermitian knots
• Loss-driven topological transitions in lasing
• Dissipation-Driven Transition of Particles from Dispersive to Flat Bands
• Emergence of Imaginary Time Crystals in the non-Hermitian Su-Schrieffer-Heeger model
• Self-healing of non-Hermitian topological skin modes
• Exceptional topology on nonorientable manifolds
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures