Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
arXiv:1603.06618 · doi:10.1088/1742-5468/2016/06/064010
Abstract
We review the non-equilibrium dynamics of many-body quantum systems after a quantum quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We focus on integrable and many-body localized systems that fail to self-thermalize in isolation and for which the standard hydrodynamical picture breaks down. The emphasis is on universal dynamics, non-equilibrium steady states and new dynamical phases of matter, and on phase transitions far from thermal equilibrium. We describe how the infinite number of conservation laws of integrable and many-body localized systems lead to complex non-equilibrium states beyond the traditional dogma of statistical mechanics.
29 pages, 7 figures, review article for special issue of JSTAT on Quantum Integrability in Out of Equilibrium Systems
References in corpus (40)
- Thermalization and its mechanism for generic isolated quantum systems
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Many body localization and thermalization in quantum statistical mechanics
- Localization of interacting fermions at high temperature
- Many-body localization edge in the random-field Heisenberg chain
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- Generalized Gibbs ensemble in integrable lattice models
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Many-body localization in periodically driven systems
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Integrals of motion in the Many-Body localized phase
- Anomalous diffusion and Griffiths effects near the many-body localization transition
- Quantum quenches in 1+1 dimensional conformal field theories
- Interacting anyons in topological quantum liquids: The golden chain
- Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
- Periodically driven ergodic and many-body localized quantum systems
- Quasilocal charges in integrable lattice systems
- Prethermalization and universal dynamics in near-integrable quantum systems
- The Quench Action
- Conformal field theory out of equilibrium: a review
- Conservation laws, integrability and transport in one-dimensional quantum systems
- Quantum quenches in the many-body localized phase
- Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
- Interferometric probes of many-body localization
- A short introduction to Fibonacci anyon models
- Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling
- Quantum revivals and many-body localization
- Quantum criticality of hot random spin chains
- Correlations in an expanding gas of hard-core bosons
- Scenario for delocalization in translation invariant systems
- Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
- The eightfold way to dissipation
- Equilibration Properties of Classical Integrable Field Theories
- Quantum Quenches in the Luttinger model and its close relatives
- A mean-field theory of nearly many-body localized metals
- Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps
- Many-body localization in the presence of a small bath
- Protection of topological order by symmetry and many-body localization
- Many-Body Localization of Symmetry Protected Topological States
Cited by in corpus (179)
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Generalized Gibbs ensemble in integrable lattice models
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Many-body localization: an introduction and selected topics
- Finite-temperature transport in one-dimensional quantum lattice models
- Dipolar physics: A review of experiments with magnetic quantum gases
- Quantum quenches in 1+1 dimensional conformal field theories
- Quasilocal charges in integrable lattice systems
- The Ergodic Side of the Many-Body Localization Transition
- Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
- Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
- Spin transport in a tunable Heisenberg model realized with ultracold atoms
- Simulating quantum many-body dynamics on a current digital quantum computer
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Solvable Hydrodynamics of Quantum Integrable Systems
- Prethermalization and universal dynamics in near-integrable quantum systems
- Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
- Out-of-time-ordered correlators in many-body localized systems
- The Quench Action
- Conformal field theory out of equilibrium: a review
- Lecture notes on Generalised Hydrodynamics
- Anomalous thermalization in ergodic systems
- Dynamics of hard rods with initial domain wall state
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Entanglement and matrix elements of observables in interacting integrable systems
- Analytically solvable renormalization group for the many-body localization transition
- Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
- Kosterlitz-Thouless scaling at many-body localization phase transitions
- Superdiffusion in spin chains
- Signatures of rare states and thermalization in a theory with confinement
- Diffusive hydrodynamics from integrability breaking
- Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
- Density propagator for many-body localization: finite size effects, transient subdiffusion, and exponential decay
- Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
- Quasilocalized dynamics from confinement of quantum excitations
- Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
- Scaling Theory of Entanglement at the Many-Body Localization Transition
- Determination of the Nonequilibrium Steady State Emerging from a Defect
- Superuniversality of superdiffusion
- Non-Equilibrium Dynamics and Weakly Broken Integrability
- Thermalization and light cones in a model with weak integrability breaking
- Superdiffusion from emergent classical solitons in quantum spin chains
- Coherent and dissipative dynamics at quantum phase transitions
- Logarithmically Slow Relaxation in Quasi-Periodically Driven Random Spin Chains
- Universal properties of many-body localization transitions in quasiperiodic systems
- Universality in the onset of quantum chaos in many-body systems
- Kardar-Parisi-Zhang universality from soft gauge modes
- Many-body localization, symmetry, and topology
- Quasi-localized excitations induced by long-range interactions in translationally-invariant quantum spin chains
- Suppression of transport in non-disordered quantum spin chains due to confined excitations
- Creating quantum many-body scars through topological pumping of a 1D dipolar gas
- Mean-field entanglement transitions in random tree tensor networks
- Transverse spin dynamics in the anisotropic Heisenberg model realized with ultracold atoms
- Dynamics and Transport at the Threshold of Many-Body Localization
- Equilibration Properties of Classical Integrable Field Theories
- Universal eigenstate entanglement of chaotic local Hamiltonians
- Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
- Quantum Quenches in the Luttinger model and its close relatives
- High-temperature coherent transport in the XXZ chain in the presence of an impurity
- Integrability of Lindbladians from operator-space fragmentation
- Universal front propagation in the quantum Ising chain with domain-wall initial states
- Integrable many-body quantum Floquet-Thouless pumps
- Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
- Universality classes of spin transport in one-dimensional isotropic magnets: the onset of logarithmic anomalies
- Energy transport in an integrable parafermionic chain via generalized hydrodynamics
- Spin crossovers and superdiffusion in the one-dimensional Hubbard model
- Fluctuating hydrodynamics, current fluctuations and hyperuniformity in boundary-driven open quantum chains
- Exact solution for the quench dynamics of a nested integrable system
- Front dynamics and entanglement in the XXZ chain with a gradient
- Eigenstate phase transitions and the emergence of universal dynamics in highly excited states
- Exact relaxation to Gibbs and non-equilibrium steady states in the quantum cellular automaton Rule 54
- Universal broadening of the light cone in low-temperature transport
- Anomalous heat transport in classical many-body systems: overview and perspectives
- Non-Equilibrium Mass Transport in the 1D Fermi-Hubbard Model
- Locally quasi-stationary states in noninteracting spin chains
- Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
- Universality and Quantum Criticality in Quasiperiodic Spin Chains
- Dynamics of charge fluctuations from asymmetric initial states
- Thermalization and Heating Dynamics in Open Generic Many-Body Systems
- Approximate light cone effects in a non-relativistic quantum field theory after a local quench
- Anomalous low-frequency conductivity in easy-plane XXZ spin chains
- Non-thermal fixed points: Universal dynamics far from equilibrium
- Emergent local integrals of motion without a complete set of localized eigenstates
- Many-Body Localization in System with a Completely Delocalized Single-Particle Spectrum
- Topologically-Protected Long Edge Coherence Times in Symmetry-Broken Phases
- Markovian Entanglement Dynamics under Locally Scrambled Quantum Evolution
- Integrable Matrix Models in Discrete Space-Time
- Non-equilibrium quantum transport in presence of a defect: the non-interacting case
- Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets
- One-particle-density-matrix occupation spectrum of many-body localized states after a global quench
- Magnetization and entanglement after a geometric quench in the XXZ chain
- Benchmarking Quantum Simulators using Ergodic Quantum Dynamics
- Dynamics of quantum information in many-body localized systems
- Experimental investigation of superdiffusion via coherent disordered Quantum Walks
- Quench dynamics in superconducting nanojunctions: metastability and dynamical Yang-Lee zeros
- From compact localized states to many-body scars in the random quantum comb
- Transport in Stark Many Body Localized Systems
- Superdiffusive transport of energy in one-dimensional metals
- Diffusion and signatures of localization in stochastic conformal field theory
- Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains
- Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems
- Ballistic transport and boundary resistances in inhomogeneous quantum spin chains
- Time-dependent resonant tunneling transport: Keldysh and Kadanoff-Baym nonequilibrium Green's functions in an analytically soluble problem
- Topological edge modes without symmetry in quasiperiodically driven spin chains
- Real-Time Dynamics of Typical and Untypical States in Non-Integrable Systems
- Diffusion from Convection
- Front dynamics in the XY chain after local excitations
- Logarithmic spreading of out-of-time-ordered correlators without many-body localization
- Probing non-Markovian quantum dynamics with data-driven analysis: Beyond "black-box" machine learning models
- Semiclassical theory of front propagation and front equilibration following an inhomogeneous quantum quench
- Mobility edge in long-range interacting many-body localized systems
- Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
- Dynamics after quenches in one-dimensional quantum Ising-like systems
- Operator front broadening in chaotic and integrable quantum chains
- Entanglement and thermodynamic entropy in a clean many-body-localized system
- Hydrodynamic Equations for the Toda Lattice
- Multipartite-Entanglement Dynamics in Regular-to-Ergodic Transition: a Quantum-Fisher-Information approach
- Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
- Strong-Disorder Renormalization Group for Periodically Driven Systems
- Thermodynamics and fractal Drude weights in the sine-Gordon model
- Consequences of integrability breaking in quench dynamics of pairing Hamiltonians
- Measurement-induced phase transitions in monitored infinite-range interacting systems
- Dynamics and level statistics of interacting fermions in the Lowest Landau Level
- Entanglement dynamics in critical random quantum Ising chain with perturbations
- Studying many-body localization in exchange-coupled electron spin qubits using spin-spin correlations
- Boundary driven Heisenberg-chain in the long-range interacting regime: Robustness against far from equilibrium effects
- Full counting statistics in the free Dirac theory
- Sudden removal of a static force in a disordered system: Induced dynamics, thermalization, and transport
- Entanglement Entropy in Excited States of the Quantum Lifshitz Model
- Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
- Dynamics and Asymptotics of Correlations in a Many-Body Localized System
- Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer
- Tuning Feshbach resonance in cold atomic gases with inter-channel coupling
- Instability of localization in translation-invariant systems
- Boltzmann transport theory for many body localization
- Multi-fractal Geometry of Finite Networks of Spins
- Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
- Perturbative instability of non-ergodic phases in non-Abelian quantum chains
- Excitations in the Yang-Gaudin Bose gas
- Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
- High-low pressure domain wall for the classical Toda lattice
- Steady off-diagonal long-range order state in a half-filled dimerized Hubbard chain induced by a resonant pulsed field
- Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain
- Localization due to interaction-enhanced disorder in bosonic systems
- Hopf algebras and solvable unitary circuits
- Probing chaos in the spherical p-spin glass model
- Breakdown of Measurement-Induced Phase Transitions Under Information Loss
- The Staircase Model: Massless Flows and Hydrodynamics
- Quantum quench in a driven Ising chain
- Vanishing and non-vanishing persistent currents of various conserved quantities
- Dynamical quantum phase transitions from random matrix theory
- New equilibrium ensembles for isolated quantum systems
- Adding boundary terms to Anderson localized Hamiltonians leads to unbounded growth of entanglement
- Thermal-bath effects in quantum quenches within quantum critical regimes
- Cooling Quantum Gases with Entropy Localization
- Characterizing the Many Body Localization Crossover as a Metal-Insulator Transition: Localization length from Polarization and Quantum Metric
- Anomalous charge transport in the sine-Gordon model
- Chapman-Enskog theory and crossover between diffusion and superdiffusion for nearly integrable quantum gases
- A recipe for local simulation of strongly-correlated fermionic matter on quantum computers: the 2D Fermi-Hubbard model
- Generalised Hydrodynamics of Particle Creation and Decay
- Prethermalization of density-density correlations after an interaction quench in the Hubbard model
- Diagnosing quantum transport from wave function snapshots
- Non-Equilibrium Steady State of the Lieb-Liniger model: exact treatment of the Tonks Girardeau limit
- Constraints from anti-unitary symmetries on phase diagrams of sign problem-free models
- Tails of Instability and Decay: a Hydrodynamic Perspective
- Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
- Breaking conservation law enables steady-state entanglement out of equilibrium
- Time reversal symmetry protected chaotic fixed point in the quench dynamics of a topological -wave superfluid
- Managing Singular Kernels and Logarithmic Corrections in the Staggered Six-Vertex Model
- Signatures of quantum phases in a dissipative system
- Universality in Non-Equilibrium Quantum Systems
- Field induced conducting state in Mott insulator
- On computing non-equilibrium dynamics following a quench
- Quantum Utility in Simulating the Real-time Dynamics of the Fermi-Hubbard Model using Superconducting Quantum Computers
- Entanglement Growth from Entangled States: A Unified Perspective on Entanglement Generation and Transport
- Quantum transitions, ergodicity, and quantum scars in the coupled top model
- Theoretical study on thermalization in isolated quantum systems
- Thermalization of Quantum Many-Body Scars in Kinetically Constrained Systems
- Generalized stochastic spin-wave theory for open quantum spin systems