Localization transitions in non-Hermitian quantum mechanics

Abstract

We study the localization transitions which arise in both one and two dimensions when quantum mechanical particles described by a random Schrödinger equation are subjected to a constant imaginary vector potential. A path-integral formulation relates the transition to flux lines depinned from columnar defects by a transverse magnetic field in superconductors. The theory predicts that the transverse Meissner effect is accompanied by stretched exponential relaxation of the field into the bulk and a diverging penetration depth at the transition.

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• Topological Amplification in Photonic Lattices
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• Non-Hermitian Euclidean random matrix theory
• Non-Bloch band theory in bosonic Bogoliubov-de Gennes systems
• Topological Quantum Batteries
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• Transmission through a many-channel random waveguide with absorption
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• Fate of the non-Hermitian skin effect in many-body fermionic systems
• Dislocation Non-Hermitian Skin Effect
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
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• Higher rank chirality and non-Hermitian skin effect in a topolectrical circuit
• Non-Hermitian Pseudo-Gaps
• Dynamical phase transition in drifted Brownian motion
• Room temperature electrically pumped topological insulator lasers
• Unifying the Anderson Transitions in Hermitian and Non-Hermitian Systems
• Bound states, scattering states and resonant states in PT-symmetric open quantum systems
• A Classification of random Dirac fermions
• Nonreciprocal metamaterial obeying time-reversal symmetry
• Non-Hermitian skin effect beyond the tight-binding models
• Non-Hermitian Photonic Lattices: tutorial
• Ultrafast and Anharmonic Rabi Oscillations between Non-Bloch-Bands
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Non-Hermitian physics without gain or loss: the skin effect of reflected waves
• Accumulation of scale-free localized states induced by local non-Hermiticity
• Finite-size effects in non-Hermitian topological systems
• Microscopic mechanism of level attraction
• Dimensional transmutation from non-Hermiticity
• Exact solution of single impurity problem in non-reciprocal lattices: impurity induced size-dependent non-Hermitian skin effect
• Random matrices beyond the Cartan classification
• Hermitian zero modes protected by nonnormality: Application of pseudospectra
• Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals
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• Critical properties of Bose-glass superconductors
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
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• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Scale-tailored localization and its observation in non-Hermitian electrical circuits
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Generalizations of some integrals over the unitary group
• Topological input-output theory for directional amplification
• On the eigenproblems of PT-symmetric oscillators
• Non-Hermitian Aubry-André model with Power-Law Hopping
• Non-Hermitian Dynamics in the Quantum Zeno Limit
• Non-Hermitean De-Localization: Multiple Scattering and Bounds
• Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions
• Mitigation of dynamical instabilities in laser arrays via non-Hermitian coupling
• Non-Hermitian Squeezed Polarons
• Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• Quantum Entanglement of Non-Hermitian Quasicrystals
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• From the topological spin-Hall effect to the non-Hermitian skin effect in an elliptical micropillar chain
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators
• Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths
• QCD Dirac operator at nonzero chemical potential: lattice data and matrix model
• Low-dimensional optical chirality in complex potentials
• Reentrant topological phase transitions in a disordered spinless superconducting wire
• Phosphorene confined systems in magnetic field, quantum transport, and superradiance in the quasi-flat band
• PT symmetric pseudo-perturbation recipe; an imaginary cubic oscillator with spikes
• Non-Hermitian scattering on a tight-binding lattice
• Disordered Dirac Fermions: Multifractality Termination and Logarithmic Conformal Field Theories
• Petermann factors and phase rigidities near exceptional points
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Topological spin excitations in non-Hermitian spin chains with a generalized kernel polynomial algorithm
• Anderson localization transition in a robust $\mathcal{P}\mathcal{T}$-symmetric phase of a generalized Aubry-Andre model
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Numerical study of vortex matter using the Bose model: First-order melting and entanglement
• Machine learning topological invariants of non-Hermitian systems
• Spectral Properties of Disordered Interacting Non-Hermitian Systems
• Nonreciprocal Synchronization of Active Quantum Spins
• Spectral rigidity of non-Hermitian symmetric random matrices near Anderson transition
• Non-reciprocal frustration: time crystalline order-by-disorder phenomenon and a spin-glass-like state
• Chiral coupling of magnons in waveguides
• Nonuniversality in quantum wires with off-diagonal disorder: a geometric point of view
• Many-Body Non-Hermitian Skin Effect for Multipoles
• Non-Hermitian matrix description of the PT symmetric anharmonic oscillators
• Quantum Simulation of the Bosonic Kitaev Chain
• Response strengths of open systems at exceptional points
• Exact Multifractality for Disordered N-Flavour Dirac Fermions in Two Dimensions
• Diagnosing non-Hermitian Many-Body Localization and Quantum Chaos via Singular Value Decomposition
• Invisible defects in complex crystals
• Dynamical topological invariant for non-Hermitian Rice-Mele model
• Non-Hermitian Stark Many-Body Localization
• The XX--model with boundaries. Part I: Diagonalization of the finite chain
• Non-Hermitian skin effects on many-body localized and thermal phases
• Localization, quantum resonances and ratchet acceleration in a periodically-kicked $\mathcal{P}\mathcal{T}$-symmetric quantum rotator
• Non-Hermitian Luttinger liquids and flux line pinning in planar superconductors
• Interaction induced bi-skin effect in an exciton-polariton system
• Localization-delocalization transition in disordered systems with a direction
• Localization in non-Hermitian quantum mechanics and flux-line pinning in superconductors
• Breakdown of the correspondence between the real-complex and delocalization-localization transitions in non-Hermitian quasicrystals
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Non-Hermitian SUSY Hydrogen-like Hamiltonians with real spectra
• Non-Hermitian Absorption Spectroscopy
• Entanglement in non-equilibrium steady states and many-body localization breakdown in a current driven system
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• Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system
• Universal platform of point-gap topological phases from topological materials
• Conditional observability
• Microscopic correlation functions for the QCD Dirac operator with chemical potential
• The solution of a chiral random matrix model with complex eigenvalues
• Solvability and PT-symmetry in a double-well model with point interactions
• Always-Real-Eigenvalued Non-Hermitian Topological Systems
• Level statistics of extended states in random non-Hermitian Hamiltonians
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Flat bands and PT-symmetry in quasi-one-dimensional lattices
• Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems
• Skin modes in a nonlinear Hatano-Nelson model
• Real spectra in non-Hermitian topological insulators
• Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation
• Exact Mobility Edges and Topological Phase Transition in Two-Dimensional non-Hermitian Quasicrystals
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• Entanglement phase transitions in non-Hermitian quasicrystals
• Bloch oscillations in non-Hermitian lattices with trajectories in complex plane
• Continuum of Bound States in a Non-Hermitian Model
• The topological counterparts of non-Hermitian SSH models
• Non-Hermitian skin effect edge
• Relationship between vibrations and dynamical heterogeneity in a model glass former: extended soft modes but local relaxation
• Localization behavior of vibrational modes in granular packings
• Replica treatment of non-Hermitian disordered Hamiltonians
• Amplification of quantum signals by the non-Hermitian skin effect
• Non-Abelian generalization of non-Hermitian quasicrystal: PT-symmetry breaking, localization, entanglement and topological transitions
• Anomalously large relaxation times in dissipative lattice models beyond the non-Hermitian skin effect
• Diagnosis of bulk phase diagram of non-reciprocal topological lattices by impurity modes
• Topology of multipartite non-Hermitian one-dimensional systems
• Linear stability analysis for large dynamical systems on directed random graphs
• Bound states and photon emission in non-Hermitian nanophotonics
• Level statistics of real eigenvalues in non-Hermitian systems
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Magnon Trap by Chiral Spin Pumping
• Generalized Swanson models and their solutions
• Exceptional points and Bloch oscillations in non-Hermitian lattices with unidirectional hopping
• Topological enhancement of non-normality in non-Hermitian skin effects
• Anderson localization transitions in disordered non-Hermitian systems with exceptional points
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems
• A Positive-Definite Scalar Product for Free Proca Particle
• Non-Hermitian interferometer: Unidirectional amplification without distortion
• Critical statistics for non-Hermitian matrices
• Non-Hermitean Random Matrix Theory: Summation of Planar Diagrams, the "Single-Ring" Theorem and the Disk-Annulus Phase Transition
• Extracting many body localization lengths with an imaginary vector potential
• Localization and universality of eigenvectors in directed random graphs
• Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect
• Erratic non-Hermitian skin localization
• Dynamical robustness of topological end states in nonreciprocal Su-Schrieffer-Heeger models with open boundary conditions
• Stochastic non-Hermitian skin effect
• Dissipative analog of four-dimensional quantum Hall physics
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Exact analogue of the Hatano-Nelson model in 1D continuous nonreciprocal systems
• Delocalization in an open one-dimensional chain in an imaginary vector potential
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Entanglement, non-Hermiticity, and duality
• Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
• Transition to Localization of Biased Walkers in a Randomly Absorbing Enviroment
• Anderson transition at complex energies in one-dimensional parity-time-symmetric disordered systems
• Entanglement dynamics in the many-body Hatano-Nelson model
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Universal Critical Behaviors in Non-Hermitian Phase Transitions
• Disorder-induced exceptional and hybrid rings in Weyl/Dirac semimetals
• Controllable unidirectional transport and photon storage in an one-dimensional lattice with complex hopping rates
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Higher-order Time-Symmetry-Breaking Phase Transition due to meeting of an Exceptional Point and Fano Resonance
• Non-Hermiticity induces localization: good and bad resonances in power-law random banded matrices
• Imaginary gauge transformation in momentum space and Dirac exceptional point
• Tight-binding lattices with an oscillating imaginary gauge field
• Non-Hermitian topology in rock-paper-scissors games
• A brief review of hybrid skin-topological effect
• Incoherent non-Hermitian skin effect in photonic quantum walks
• Maximal quantum entanglement at exceptional points via unitary and thermal dynamics
• Exact description of coalescing eigenstates in open quantum systems in terms of microscopic Hamiltonian dynamics
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Experiments in PT-symmetric quantum mechanics
• Does quasi-long-range order in the two-dimensional XY model really survive weak random phase fluctuations?
• Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms
• Localization in an imaginary vector potential
• Bulk-edge correspondence in nonunitary Floquet systems with chiral symmetry
• Disorder in dissipation-induced topological states: Evidence for a different type of localization transition
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Absence of logarithmic and algebraic scaling entanglement phases due to skin effect
• The bosonic skin effect: boundary condensation in asymmetric transport
• Should PT symmetric quantum mechanics be interpreted as nonlinear?
• QCD with Bosonic Quarks at Nonzero Chemical Potential
• Matching method and exact solvability of discrete PT-symmetric square wells
• Non-Hermiticity and Universality
• Broken Time Translation Symmetry as a model for Quantum State Reduction
• Chiral symmetry in non-Hermitian systems: product rule and Clifford algebra
• Vortex Pinning and the Non-Hermitian Mott Transition
• Skin effect and dynamical delocalization in non-Hermitian quasicrystals with spin-orbit interaction
• Enumeration of simple random walks and tridiagonal matrices
• Edge Excitations of an Incompressible Fermionic Liquid in a Disorder Magnetic Field
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Dynamics of Molecular Motors with Finite Processivity on Heterogeneous Tracks
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• Topological zero modes and edge symmetries of metastable Markovian bosonic systems
• Non-Hermitian Topology in Hermitian Topological Matter
• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• The non-Hermitian skin effect: A perspective
• Absence of measurement-induced entanglement transition due to feedback-induced skin effect
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Non-Bloch band theory for non-Hermitian continuum systems
• Reflection Positivity for Parafermions
• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Entanglement phase transition due to reciprocity breaking without measurement or post-selection
• Universal non-Hermitian transport in disordered systems
• Topological Phase Transitions of Generalized Brillouin Zone
• Loschmidt echo and fidelity decay near an exceptional point
• Spectral duality and distribution of exponents for transfer matrices of block tridiagonal Hamiltonians
• Non-Hermitian Dirac cones with valley-dependent lifetimes
• Distribution of complex eigenvalues for symplectic ensembles of non-Hermitian matrices
• Tilted elastic lines with columnar and point disorder, non-Hermitian quantum mechanics and spiked random matrices: pinning and localization
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Machine learning non-Hermitian topological phases
• Degeneracies and symmetry breaking in pseudo-Hermitian matrices
• Generalized Bloch band theory for non-Hermitian bulk-boundary correspondence
• Full counting statistics in the many-body Hatano-Nelson model
• Rational Approximations of Quasi-Periodic Problems via Projected Green's Functions
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Polymer Reptation in Disordered Media
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Damping transition in an open generalized Aubry-André-Harper model
• Statics and Dynamics of non-Hermitian Many-Body Localization
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• PT symmetric models in more dimensions and solvable square-well versions of their angular Schroedinger equations
• Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems
• Fundamental length in quantum theories with PT-symmetric Hamiltonians II: The case of quantum graphs
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Complex-valued information entropy measure for networks with directed links (digraphs). Application to citations by community agents with opposite opinions
• Anisotropic Topological Anderson Transitions in Chiral Symmetry Classes
• Exponential size scaling of the Liouvillian gap in boundary-dissipated systems with Anderson localization
• CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C
• Non-Abelian Braiding of Topological Edge Bands
• Topological triple phase transition in non-Hermitian quasicrystals with complex asymmetric hopping
• Non-Hermitian non-Abelian topological insulators with $PT$ symmetry
• PT phase transition in a (2+1)-d relativistic system
• Quantum criticality in the disordered Aubry-André model
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Chebyshev-polynomial expansion of the localization length of Hermitian and non-Hermitian random chains
• Signature of wave localisation in the time dependence of a reflected pulse
• Topological Bulk Lasing Modes Using an Imaginary Gauge Field
• Conserved quantities, exceptional points, and antilinear symmetries in non-Hermitian systems
• Localized states and skin effect around non-Hermitian impurities in tight-binding models
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• 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
• Non-Hermitian topological mobility edges and transport in photonic quantum walks
• Real spectra, Anderson localization, and topological phases in one-dimensional quasireciprocal systems
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Non-normality, reactivity, and intrinsic stochasticity in neural dynamics: a non-equilibrium potential approach
• Absorption in atomic wires
• Transfer matrices, non-Hermitian Hamiltonians and Resolvents: some spectral identities
• Exponential sensitivity revival of noisy non-Hermitian quantum sensing with two-photon drives
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Non-Hermitian Floquet invisibility
• Repeatability of measurements: Equivalence of hermitian and non-hermitian observables
• Statistical properties of eigenvalues of the non-Hermitian Su-Schrieffer-Heeger model with random hopping terms
• Spacing distribution in the 2D Coulomb gas: Surmise and symmetry classes of non-Hermitian random matrices at non-integer $\beta$
• Correlations, soliton modes, and non-Hermitian linear mode transmutation in the 1D noisy Burgers equation
• A new perspective on the Fano absorption spectrum in terms of complex spectral analysis
• Non-Hermitian topological exciton-polariton corner modes
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Anderson localization versus hopping asymmetry in a disordered lattice
• Filling up complex spectral regions through non-Hermitian disordered chains
• Topological plasma transport from a diffusion view
• Scaling laws for non-Hermitian skin effect with long-range couplings
• Topological superconductivity enhanced by exceptional points
• Identifying non-Hermitian critical points with quantum metric
• Topological properties of non-Hermitian Creutz Ladders
• A renormalization group approach to non-Hermitian topological quantum criticality
• Non-Hermitian topological ohmmeter
• Many-body Non-Hermitian Skin Effect At Finite Temperatures
• Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
• Field theory of non-Hermitian disordered systems
• A Non-Hermitean Particle in a Disordered World
• On the infinite-dimensional QR algorithm
• The simulation of non-Hermitian disordered system in linear circuits
• Non-Hermitian Hubbard model without the sign problem
• Hybrid scaling properties of localization transition in a non-Hermitian disorder Aubry-André model
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• 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
• Regular Spacings of Complex Eigenvalues in the One-dimensional non-Hermitian Anderson Model
• Engineering Interaction Dynamics in Active Resonant Photonic Structures
• Marching on a rugged landscape: Universality in disordered asymmetric exclusion processes
• Spectrum of the Fokker-Planck operator representing diffusion in a random velocity field
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• Fate of Two-Particle Bound States in the Continuum in non-Hermitian Systems
• A Tropical Geometric Approach To Exceptional Points
• Robust quantum boomerang effect in non-Hermitian systems
• Non-Hermitian Fabry-Perot Resonances in a PT-symmetric system
• Non-Hermitian Hartman effect
• From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System
• Strong Coupling Fixed Points of Current Interactions and Disordered Fermions in 2D
• Anomalous Roughness, Localization, and Globally Constrained Random Walks
• A unidirectional invisible PT-symmetric complex crystal with arbitrary thickness
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
• Characterizing and Tuning Exceptional Points Using Newton Polygons
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Ubiquity of the quantum boomerang effect in Hermitian Anderson-localized systems
• Stable many-body localization under random continuous measurements in the no-click limit
• Observation of a non-Hermitian supersonic mode on a trapped-ion quantum computer
• Point-Gap Bound States in Non-Hermitian Systems
• Quantum phase transitions in non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric transverse-field Ising spin chains
• On the construction of pseudo-hermitian quantum system with a pre-determined metric in the Hilbert space
• Analyticity of Quantum States in One-Dimensional Tight-Binding Model
• Universal scaling of Green's functions in disordered non-Hermitian systems
• Hatano-Nelson model with a periodic potential
• Metal-insulator transition in a 2D system of chiral unitary class
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization
• Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
• Synthetic Mechanical Lattices with Synthetic Interactions
• Boundary sensitive Lindbladians and relaxation dynamics
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Canonical phase space approach to the noisy Burgers equation
• Giant non-reciprocity and gyration through modulation-induced Hatano-Nelson coupling in integrated photonics
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Observation of non-local impedance response in a passive electrical circuit
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Time-Loop Formalism for Irreversible Quantum Problems: Steady State Transport in Junctions with Asymmetric Dynamics
• Linear representation of energy-dependent Hamiltonians
• Spectral flow of non-hermitian Heisenberg spin chain with complex twist
• Real-space topological localizer index to fully characterize the dislocation skin effect
• Anomalous dynamical response of non-Hermitian topological phases
• Vortices in a cylinder: Localization after depinning
• Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice
• Bulk-edge correspondence and trapping at a non-Hermitian topological interface
• Transport and localization of waves in ladder-shaped lattices with locally $\mathcal{P}\mathcal{T}$-symmetric potentials
• Quantum decay and amplification in a non-Hermitian unstable continuum
• Nonhermitian defect states from lifetime differences
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling
• Fully solvable finite simplex lattices with open boundaries in arbitrary dimensions
• Imaginary Potential Induced Quantum Coherence for Bose-Einstein Condensates
• Population Dynamics and Non-Hermitian Localization
• Helical resonant transport and purified amplification at an exceptional point
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Versatile Braiding of Non-Hermitian Topological Edge States
• Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
• Delocalization of non-Hermitian Quantum Walk on Random Media in One Dimension
• Selective and tunable excitation of topological non-Hermitian skin modes
• Multifractality of many-body non-Hermitian skin effect
• Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation
• Statistics of S-matrix poles for chaotic systems with broken time reversal invariance: a conjecture
• Quantum Mechanics with Random Imaginary Scalar Potential
• Interaction effects in non-Hermitian models of vortex physics
• Non-reciprocal breathing solitons
• Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer
• Realization of $\mathcal{P}\mathcal{T}$-symmetric and $\mathcal{P}\mathcal{T}$-symmetry broken states in static optical lattice potentials
• The Interplay of Finite and Infinite Size Stability in Quadratic Bosonic Lindbladians
• The particle in a box in PT quantum mechanics and an electromagnetic analog
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Phase Transitions in Nonreciprocal Driven-Dissipative Condensates
• Fate of Topological Edge States in Disordered Periodically-driven Nonlinear Systems
• Lindbladian dynamics with loss of quantum jumps
• Generalized multifractality in 2D disordered systems of chiral symmetry classes
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• On the Relevance of Disorder for Dirac Fermions with Imaginary Vector Potential
• Interplay of nonreciprocity and nonlinearity on mean-field energy and dynamics of a Bose-Einstein condensate in a double-well potential
• Non-Hermitian boost deformation
• Proposal of a quantum version of active particles via a nonunitary quantum walk
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Constructing Exactly Solvable Pseudo-hermitian Many-particle Quantum Systems by Isospectral Deformation
• Two-dimensional Non-Hermitian Delocalization Transition as a Probe for the Localization Length
• A chain of solvable non-Hermitian Hamiltonians constructed by a series of metric operators
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• From scale-free to Anderson localization: a size-dependent transition
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Deconstructing non-Dirac-hermitian supersymmetric quantum systems
• Replica Symmetry Breaking for the Integrable Two-Site Sachdev-Ye-Kitaev Model
• Kondo effect in a non-Hermitian, $\mathcal{P}\mathcal{T}$-symmetric Anderson model with Rashba spin-orbit coupling
• Discriminant indicators with generalized inversion symmetry
• Equivalence and superposition of real and imaginary quasiperiodicities
• Dynamical localization transition in the non-Hermitian lattice gauge theory
• 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
• Non-Hermitian control of localization in mosaic photonic lattices
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• Large deviations in statistics of the local time and occupation time for a run and tumble particle
• Two transitions in complex eigenvalue statistics: Hermiticity and integrability breaking
• Spectral and transport properties of a $\mathcal{P}\mathcal{T}$-symmetric tight-binding chain with gain and loss
• Striated Populations in Disordered Environments with Advection
• Non-Hermitian quantum rings
• Bounded dynamics of finite PT-symmetric magnetoinductive arrays
• Identities and exponential bounds for transfer matrices
• $\mathcal{P}\mathcal{T}$ symmetric models with nonlinear pseudo supersymmetry
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Helical transport in coupled resonator waveguides
• Rapidly-oscillating scatteringless non-Hermitian potentials and the absence of Kapitza stabilization
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Non-Hermitian laser arrays with tunable phase locking
• Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders
• Parity and Time Reversal Symmetry in Hanbury Brown-Twiss Effect
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Eigenstate clustering around exceptional points
• Switchable Non-Hermitian Skin Effect in Bogoliubov Modes
• Non-isospectrality of the generalized Swanson Hamiltonian and harmonic oscillator
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
• Quasiperiodicity-induced bulk localization with self similarity in non-Hermitian systems
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
• A non-Hermitian critical point and the correlation length of strongly correlated quantum systems
• Non-Hermitian gauged laser arrays with localized excitations: Anomalous threshold and generalized principle of selective pumping
• Dynamical localization in non-Hermitian quasi-crystals
• Anomalous localization enhancement in one-dimensional non-Hermitian disordered lattices
• General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents
• Complex magnetic fields: An improved Hardy-Laptev-Weidl inequality and quasi-self-adjointness
• Edge states in a non-Hermitian topological crystalline insulator
• Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
• Quantum synchronization blockade induced by nonreciprocal coupling
• Non-Hermitian Skin Effect Along Hyperbolic Geodesics
• Non-Hermitian Quantum Fractals
• Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders
• Optimal Fluctuations and Tail States of non-Hermitian Operators
• Waveguide QED with dissipative light-matter couplings
• Scale-free localization versus Anderson localization in unidirectional quasiperiodic lattices
• General theory for infernal points in non-Hermitian systems
• Electric conductivity in non-Hermitian holography
• Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms
• Non-Bloch dynamics and topology in a classical non-equilibrium process
• Complete absorption of topologically protected waves
• Self-trapping and skin solitons in two-dimensional non-Hermitian lattices
• Linear localization of zero modes in weakly coupled non-Hermitian reservoirs
• Controlled probing of localization effects in the non-Hermitian Aubry-André model via topolectrical circuits
• Anyonic $\mathcal{P}\mathcal{T}$ symmetry, drifting potentials and non-Hermitian delocalization
• Unveiling Eigenstate Thermalization for Non-Hermitian systems
• Anomalous Hall effect from a non-Hermitian viewpoint
• Berezinskii-Kosterlitz-Thouless localization-localization transitions in disordered two-dimensional quantized quadrupole insulators
• Nonlocally-Correlated Disorder and Delocalization in One Dimension: Density of States
• Universal hard-edge statistics of non-Hermitian random matrices
• Geometric contribution to adiabatic amplification in non-Hermitian systems
• Causality, localization, and universality of monitored quantum walks with long-range hopping
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Critical scaling of polarization waves on a heterogeneous chain of resonators
• B(H) Constitutive Relations Near H_c1 in Disordered Superconductors
• Particle injection into a chain: decoherence versus relaxation for Hermitian and non-Hermitian dynamics
• Real spectra in one-dimensional single-band non-Hermitian Hamiltonians
• Dynamics in non-Hermitian systems with nonreciprocal coupling
• PT-Symmetry Breaking Transitions in Polymeric Systems
• Amplitude death in a ring of nonidentical nonlinear oscillators with unidirectional coupling
• Lifshitz tail states in non-Hermitian disordered photonic lattices
• Excitation Transmission through a non-Hermitian traversable wormhole
• Coherent single-spin electron resonance spectroscopy manifested at an exceptional-point singularity in a doped polyacetylene
• Lindbladian versus Postselected Non-Hermitian Topology
• 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
• Photoinduced non-reciprocal magnetism
• Harnessing Nonlinearity to Tame Wave Dynamics in Nonreciprocal Active Systems
• Percolation, sliding, localization and relaxation in topologically closed circuits
• "Lifshitz tails" and extended states in an Imaginary random potential
• Random-Mass Dirac Fermions in an Imaginary Vector Potential (I): Delocalization Transition and Localization Length
• Topological phase transition in fluctuating imaginary gauge fields
• Non-Bloch band theory for time-modulated discrete mechanical systems
• Delocalization of skin steady states
• $\mathcal{P}\mathcal{T}$-symmetric quantum Rabi model: Solutions and exceptional points
• Topological Classificaton of Non-Hermitian Gapless Phases: Exceptional Points and Bulk Fermi Arcs
• Localization transition in non-Hermitian systems depending on reciprocity and hopping asymmetry
• Reconfiguration of quantum states in $\mathcal{P}T$-symmetric quasi-one dimensional lattices
• Nonlinear Hall effects with an exceptional ring
• Emergent localized states at the interface of a twofold $\mathcal{P}\mathcal{T}$-symmetric lattice
• Bridged-assisted electron transfer. Random matrix theory approach
• Exceptional stationary state in a dephasing many-body open quantum system
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• The Quantum Skin Hall Effect
• Observation of non-Hermitian many-body skin effects in Hilbert space
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Non-Hermitian quantum gases: a platform for imaginary time crystals
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Nonlocally-correlated disorder and delocalization in one dimension II: Localization length
• On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation
• Anisotropic-scaling localization in higher-dimensional non-Hermitian systems
• Quantum quench dynamics in the Luttinger liquid phase of the Hatano-Nelson model
• Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model
• Field theory of self-avoiding walks in random media
• Random-mass Dirac fermions in an imaginary vector potential: Delocalization transition and localization length
• Anomalous hybridization of spectral winding topology in quantized steady-state responses
• Super-enhanced Sensitivity in Non-Hermitian Systems at Infernal Points
• Extended unitarity and absence of skin effect in periodically driven systems
• Non-equilibrium dynamics of localization phase transition in the non-Hermitian Disorder-Aubry-André model
• Symmetry-driven Phononic Metamaterials
• Topological directed amplification
• Phase transitions of wave packet dynamics in disordered non-Hermitian systems
• Demonstration of a Tunable Non-Hermitian Nonlinear Microwave Dimer
• Correlations at higher-order exceptional points in non-Hermitian models
• Lack of near-sightedness principle in non-Hermitian systems
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• The relaxation rate of a stochastic spreading process in a closed ring
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Localization of Lindbladian Fermions
• Impurity-induced counter skin-effect and linear modes in non-Hermitian systems
• Spin-dependent gain and loss in photonic quantum spin Hall systems
• Amplification and Disorder Effects on the Coherent Backscattering in a Kronig-Penney Chain of Active Potentials
• Fractionality and $\mathcal{P}\mathcal{T}$- symmetry in a square lattice
• Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder
• Many-body critical non-Hermitian skin effect
• Loss-induced universal one-way transport in periodically driven systems
• Spectral Curves and Localization in Random Non-Hermitian Tridiagonal Matrices
• Localization due to topological stochastic disorder in active networks
• Two-dimensional lattice with an imaginary magnetic field
• Topology of Discrete Quantum Feedback Control
• Robust extended states in Anderson model on partially disordered random regular graphs
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices
• Linear level repulsions near exceptional points of non-Hermitian systems
• Machine learning of mirror skin effects in the presence of disorder
• Probing localization properties of many-body Hamiltonians via an imaginary vector potential
• Spin-Depairing-Induced Exceptional Fermionic Superfluidity
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Phase transitions in non-Hermitian superlattices
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Emergent Topology in Many-Body Dissipative Quantum Matter
• Optical non-Hermitian skin effect in two-dimensional uniform media
• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
• Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Finite Size Effects in Vortex Localization
• Finite steady-state current defies non-Hermitian many-body localization
• Fate of localization features in a one-dimensional non-Hermitian flat-band lattice with quasiperiodic modulations
• Nonlinear skin breathing modes in one-dimensional nonreciprocal mechanical lattices
• Numerical study of the transverse localization of waves in one-dimensional lattices with randomly distributed gain and loss: Effect of disorder correlations
• Exact solutions of non-Hermitian chains with asymmetric long-range hopping under specific boundary conditions
• Non-Hermitian Boundary in a Surface Selective Reconstructed Magnetic Weyl Semimetal
• Discriminant indicator with generalized rotational symmetry
• Pseudo Hermitian interactions in the Dirac Equation
• Winding Topology of Multifold Exceptional Points
• Space-time symmetry and nonreciprocal parametric resonance in mechanical systems
• Pseudo-Hermitian extensions of the harmonic and isotonic oscillators
• Heat transport through an open coupled scalar field theory hosting stability-to-instability transition
• Absence of localization in a disordered one-dimensional ring threaded by an Aharonov-Bohm flux
• Non-Hermitian systems with a real spectrum and selective skin effect
• Dual Symmetry Classification of Non-Hermitian Systems and ${\mathbb{Z}}_2$ Point-Gap Topology of a Non-Unitary Quantum Walk
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Scaling approach to related disordered stochastic and free-fermion models
• Defect-driven incoherent skin localization
• Random non-Hermitian action theory for stochastic quantum dynamics: from canonical to path integral quantization
• Stability of time-periodic $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonians with different periodicities
• Condition numbers for real eigenvalues of real elliptic ensemble: weak non-normality at the edge
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• How to realize compact and non-compact localized states in disorder-free hypercube networks
• A non-Hermitian analysis of strongly correlated quantum systems
• Slow approach to adiabaticity in many-body non-Hermitian systems: the Hatano-Nelson Model
• Negative mobility, sliding and delocalization for stochastic networks
• 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
• Polarization dynamics of trapped polariton condensates with $\mathcal{P}\mathcal{T}$-symmetry
• Hermitian and non-Hermitian topology in active matter
• Bosonic Quantum Breakdown Hubbard Model
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Dissipative phase transition of interacting non-reciprocal fermions
• Eigenvalue spectral tails and localization properties of asymmetric networks
• Anderson-skin dualism: A boundary-dependent effect in non-Hermitian disordered coupled systems
• Non-Hermitian tearing by dissipation
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Non-Hermitian reshaping of high-order Landau modes
• Quantum geometrical effects in non-Hermitian systems
• Fragmented exceptional points and their bulk and edge realizations in lattice models
• Optimal Fluctuations and Tail States of non-Hermitian Operators
• Transport and integrability-breaking in non-Hermitian many-body quantum systems
• Fractionality and PT-symmetry in an electrical transmission line
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Quantum stochastic transport along chains
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Analytic approach for the number statistics of non-Hermitian random matrices
• Quantum Measurement Encoding for Quantum Metrology
• Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle
• Topological and fractal defect states in non-Hermitian lattices
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Interplay of fractionality and $\mathcal{P}\mathcal{T}$- symmetry on a 1D lattice
• Random non-Hermitian Hamiltonian framework for symmetry breaking dynamics
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials
• Emergence of Sinai Physics in the stochastic motion of passive and active particles
• A path integral approach to sparse non-Hermitian random matrices
• Absorption to Fluctuating Bunching States in Non-Unitary Boson Dynamics
• Wave propagation in an elastic lattice with non-reciprocal stiffness and engineered damping
• Concurrent Skin-scale-free Localization and Criticality under Möbius Boundary Conditions in a Non-Hermitian Ladder
• Emergent tilt order in Dirac polymer liquids
• Walking behavior induced by $\mathcal{P}\mathcal{T}$ symmetry breaking in a non-Hermitian $\mathrm{XY}$ model with clock anisotropy
• Exact solution for the time dependent non-Hermitian generalized Swanson oscillator
• Unifying Anderson transitions and topological amplification in non-Hermitian chains
• Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
• Non-Hermitian Parent Hamiltonian from Generalized Quantum Covariance Matrix
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• Effects of Long-Range Correlations in Random-Mass Dirac Fermions
• Non-hermiticity in a kicked model: Decoherence and the semiclassical limit
• Theory of Localization in a Disordered Ring in a Non-Hermitian Field
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• Gauge Invariance and the Critical Properties of Quantum Hall Plateaux Transitions
• Truncations of random symplectic unitary matrices
• From Hermitian critical to non-Hermitian point-gapped phases
• Markov generators as non-hermitian supersymmetric quantum Hamiltonians: spectral properties via bi-orthogonal basis and Singular Value Decompositions
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model
• Spinless particle in rapidly fluctuating random magnetic field
• Optimal spectral transport of non-Hermitian systems
• Jordan Decomposition of Non-Hermitian Fermionic Quadratic Forms
• Scattering Dynamics and Boundary States of a Non-Hermitian Dirac Equation
• Recent progress on disorder-induced topological phases
• Tunable Localisation in Parity-Time-Symmetric Resonator Arrays with Imaginary Gauge Potentials
• Coexistence of extended and localized states in one-dimensional non-Hermitian Anderson model
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• Non-Hermitian Aharonov-Bohm Cage
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Does Cosmology require Hermiticity in Quantum Mechanics?
• Thouless formula for random non-Hermitian Jacobi matrices
• Symmetry and Topology of Monitored Quantum Dynamics
• $\mathcal{P}\mathcal{T}$-symmetric two-photon quantum Rabi models
• Topological Amplification of the Bosonic Kitaev Chain with Non-Uniform Loss
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Robustness of tripartite entangled states in passive PT-symmetric qubits
• Noisy Stark probes as quantum-enhanced sensors
• Hofstadter's Cocoon
• A Non-Hermitian State-to-State Analysis of Transport in Aggregates with Multiple Endpoints
• Scaling of pseudospectra in exponentially sensitive lattices
• Semiclassical analysis of spin dynamics in the non-Hermitian Hubbard model
• A Hermitian bypass to the non-Hermitian quantum theory
• Origin of Robust ${\mathbb{Z}}_2$ Topological Phases in Stacked Hermitian Systems: Non-Hermitian Level Repulsion
• Scattering States in One-Dimensional Non-Hermitian Baths
• Does Gravity Render Probability Quasilocal?
• Exceptional point rings and $PT$-symmetry in the non-Hermitian XY model
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Non-Hermitian topology of transport in the quantum Hall phases in graphene
• Enhancement of pair correlation in a one-dimensional hybridization model
• A tale of two kinds of exceptional point in a hydrogen molecule
• Quantum Spin Chains with Nonlocally-Correlated Random Exchange Coupling and Random-Mass Dirac Fermions
• Chiral Instabilities in Driven-Dissipative Quantum Liquids
• Characteristic influence of exceptional points in quantum dynamics
• Topological Photonics on a Small Scale
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Non-hermitean delocalization in an array of wells with variable-range widths
• Random weighted shifts
• Illuminating the bulk-boundary correspondence of a non-Hermitian stub lattice with Majorana stars
• Electron dynamics induced by quantum cat-state light
• Distance between exceptional points and diabolic points and its implication for the response strength of non-Hermitian systems
• Engineering qubit dynamics in open systems with photonic synthetic lattices
• Amplification or Reduction of Backscattering in a Coherently Amplifying or Absorbing Disordered Chain
• Pursuing complex optical energy through Exceptional Points of Degeneracy (EPDs)
• Recurrence method in Non-Hermitian Systems
• Reduced dynamics in quasi-Hermitian systems
• Non-linear sigma models for non-Hermitian random matrices in symmetry classes AI${}^{†}$ and AII${}^{†}$
• Localization with non-Hermitian off-diagonal disorder
• Smoking Gun Signatures of Quasilocal Probability in Black Hole Ringdowns
• Robust Correlation-Induced Localization Under Time-Reversal Symmetry Breaking
• Observing complementary Lucas sequences using non-Hermitian zero modes
• Bulk-boundary correspondence in topological two-dimensional non-Hermitian systems: Toeplitz operators and singular values
• Two-dimensional Dirac fermions with random axial-vector potential
• Superexponential amplification, power blowup, and solitons sustained by non-Hermitian gauge potentials
• Quantifying non-Hermiticity using single- and many-particle quantum properties
• Anomalous Non-Hermitian Topological Anderson Insulator
• Complex Inflaton Potentials with Nonminimal Coupling: Robust Inflation and Geometric Reheating
• Limitations of SVD-Based Diagnostics for Non-Hermitian Many-Body Localization with Time-Reversal Symmetry
• Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal
• Spectra of pinned charge density waves with background current
• Interferometric Geometric Phases of $\mathcal{P}\mathcal{T}$-symmetric Quantum Mechanics
• Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal
• Nonreciprocal Blume-Capel Model with Antisymmetric Single-Ion Anisotropies
• Observation of non-Hermitian point gap in photonic crystals
• Quantum walk in stochastic environment
• $\mathcal{P}\mathcal{T}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics
• Eigenvalues bifurcating from the continuum in two-dimensional potentials generating non-Hermitian gauge fields
• $\mathcal{P}\mathcal{T}$-like phase transitions from square roots of supersymmetric Hamiltonians
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• Vortex interactions in a thin platelet superconductor
• Effect of field tilting on the vortices in irradiated Bi-2212
• Interacting many-body non-Hermitian systems as Markov chains
• Reversing non-Hermitian skin accumulation with a non-local transverse switch
• Asymptotically exact solution of the non-Hermitian disordered interacting Hatano-Nelson chain
• Non-Hermitian tridiagonal random matrices and returns to the origin of a random walk
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
• Tunable Topological Phases in Quantum Kirigamis
• Winding-control mechanism of non-Hermitian systems
• Theory of the Anderson transition in three-dimensional chiral symmetry classes: Connection to type-II superconductors
• Large bi-diagonal matrices and random perturbations
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Emergence of Imaginary Time Crystals in the non-Hermitian Su-Schrieffer-Heeger model
• Complexity Issues in Computing Spectra, Pseudospectra and Resolvents
• Exact steady states and fragmentation-induced relaxation in the no-passing asymmetric simple exclusion process
• Antiferromagnetism and spin excitations in a two-dimensional non-Hermitian Hatano-Nelson flux model
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains
• Self-healing of non-Hermitian topological skin modes
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Supermetal-insulator transition in a non-Hermitian network model
• Scaling rule in critical non-Hermitian skin effect