Transport and integrability-breaking in non-Hermitian many-body quantum systems
arXiv:2403.01681 · doi:10.1103/PhysRevB.110.134302
Abstract
Describing open quantum systems in terms of effective non-Hermitian Hamiltonians gives rise to non-unitary time evolution. In this paper, we study the impact of non-unitary dynamics on the emergent hydrodynamics in quantum systems with a global conservation law. To this end, we demonstrate how linear-response correlation functions can be generalized and interpreted in the case of non-Hermitian systems. Moreover, we show that dynamical quantum typicality provides an efficient numerical approach to evaluate such correlation functions, even though the non-unitary dynamics leads to subtleties that are absent in the Hermitian case. As a point of reference for our analysis, we consider the Hermitian spin- XXZ chain, whose high-temperature transport properties have been characterized extensively in recent years. Here, we explore the resulting hydrodynamics for different non-Hermitian perturbations of the XXZ chain. We also discuss the role of integrability by studying the complex energy-level statistics of the non-Hermitian quantum models.
arXiv comment13 pages, 9 figures
References in corpus (86)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Edge states and topological invariants of non-Hermitian systems
- Localization of interacting fermions at high temperature
- Many-body localization, thermalization, and entanglement
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- Localization transitions in non-Hermitian quantum mechanics
- Topological phases of non-Hermitian systems
- The physics of exceptional points
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Observation of bulk boundary correspondence breakdown in topolectrical circuits
- Quantum trajectories and open many-body quantum systems
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Canonical Typicality
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
- Finite-temperature transport in one-dimensional quantum lattice models
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices
- Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation
- Non-Hermitian Many-Body Localization
- The Ergodic Side of the Many-Body Localization Transition
- Spin transport in a tunable Heisenberg model realized with ultracold atoms
- Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
- Typicality for Generalized Microcanonical Ensembles
- Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
- Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
- Canonical Thermal Pure Quantum State
- Scrambling and thermalization in a diffusive quantum many-body system
- Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
- Fast Algorithm for Finding the Eigenvalue Distribution of Very Large Matrices
- Dynamical typicality of quantum expectation values
- Mixed-state evolution in the presence of gain and loss
- The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics
- Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
- Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
- Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin- chain
- Quantum dynamics of thermalizing systems
- Superdiffusion in spin chains
- Spin-current autocorrelations from single pure-state propagation
- Observing emergent hydrodynamics in a long-range quantum magnet
- Universal spectra of random Lindblad operators
- Many-body localization in a non-Hermitian quasi-periodic system
- Density propagator for many-body localization: finite size effects, transient subdiffusion, and exponential decay
- Hydrodynamic long-time tails after a quantum quench
- Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
- Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
- Regression relation for pure quantum states and its implications for efficient computing
- Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations
- Non-Hermitian Many-Body Localization with Open Boundaries
- Hierarchy of relaxation timescales in local random Liouvillians
- Spectral gaps and mid-gap states in random quantum master equations
- Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
- Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos
- Algorithm for Linear Response Functions at Finite Temperatures: Application to ESR spectrum of s=1/2 Antiferromagnet Cu benzoate
- Exceptional points and the topology of quantum many-body spectra
- Random State Technology
- Anomalous transport from hot quasiparticles in interacting spin chains
- Emergent hydrodynamics in non-equilibrium quantum systems
- Heat transport of cuprate-based low-dimensional quantum magnets with strong exchange coupling
- Selected applications of typicality to real-time dynamics of quantum many-body systems
- Topological spin excitations in non-Hermitian spin chains with a generalized kernel polynomial algorithm
- Self-averaging in many-body quantum systems out of equilibrium: Chaotic systems
- Many-Body Non-Hermitian Skin Effect for Multipoles
- Exact solution of the Bose Hubbard model with unidirectional hopping
- Diagnosing non-Hermitian Many-Body Localization and Quantum Chaos via Singular Value Decomposition
- Time-evolution of local information: thermalization dynamics of local observables
- Entanglement in non-equilibrium steady states and many-body localization breakdown in a current driven system
- Real-Time Dynamics of Typical and Untypical States in Non-Integrable Systems
- Extracting many body localization lengths with an imaginary vector potential
- Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
- Decay of spin-spin correlations in disordered quantum and classical spin chains
- Non-Hermitian Hamiltonians Violate the Eigenstate Thermalization Hypothesis
- Statics and Dynamics of non-Hermitian Many-Body Localization
- Scrambling and operator entanglement in local non-Hermitian quantum systems
- Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport
- Spin-1/2 XXZ chain coupled to two Lindblad baths: Constructing nonequilibrium steady states from equilibrium correlation functions
- Real-time broadening of bath-induced density profiles from closed-system correlation functions