Quantum Quenches, Thermalization and Many-Body Localization

Abstract

We conjecture that thermalization following a quantum quench in a strongly correlated quantum system is closely connected to many-body delocalization in the space of quasi-particles. This scenario is tested in the anisotropic Heisenberg spin chain with different types of integrability-breaking terms. We first quantify the deviations from integrability by analyzing the level spacing statistics and the inverse participation ratio of the system's eigenstates. We then focus on thermalization, by studying the dynamics after a sudden quench of the anisotropy parameter. Our numerical simulations clearly support the conjecture, as long as the integrability-breaking term acts homogeneously on the quasiparticle space, in such a way as to induce ergodicity over all the relevant Hilbert space.

8 pages

References in corpus (34)

• Chaos and Quantum Thermalization
• Thermalization and its mechanism for generic isolated quantum systems
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Localization of interacting fermions at high temperature
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• The many-body localization phase transition
• Time-dependence of correlation functions following a quantum quench
• Many body localization in Heisenberg XXZ magnet in a random field
• Interacting electrons in disordered wires: Anderson localization and low-temperature transport
• Quantum Quenches in Extended Systems
• Quasiparticle Lifetime in a Finite System: A Non--Perturbative Approach
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Breakdown of thermalization in finite one-dimensional systems
• The Luttinger model following a sudden interaction switch-on
• Dynamical phase transition in correlated fermionic lattice systems
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Dephasing and the steady state in quantum many-particle systems
• Effect of Rare Fluctuations on the Thermalization of Isolated Quantum Systems
• Strongly correlated fermions after a quantum quench
• Effective thermal dynamics following a quantum quench in a spin chain
• Quantum Quenches in Integrable Field Theories
• Emergence of quantum chaos in finite interacting Fermi systems
• Nonthermal steady states after an interaction quench in the Falicov-Kimball model
• Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
• Quantum chaos and thermalization in gapped systems
• Quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined
• Energy transport in disordered classical spin chains
• Correlations in an expanding gas of hard-core bosons
• Quantum Chaos, Delocalization, and Entanglement in Disordered Heisenberg Models
• Decoherence and the rate of entropy production in chaotic quantum systems
• Interplay between interaction and (un)correlated disorder in one-dimensional many-particle systems: delocalization and global entanglement
• Emergence of Fermi-Dirac Thermalization in the Quantum Computer Core
• Level statistics of XXZ spin chains with a random magnetic field
• Connection between low energy effective Hamiltonians and energy level statistics

Cited by in corpus (126)

• Nonequilibrium dynamics of closed interacting quantum systems
• Many body localization and thermalization in quantum statistical mechanics
• Many-body localization edge in the random-field Heisenberg chain
• Unbounded growth of entanglement in models of many-body localization
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Local conservation laws and the structure of the many-body localized states
• Quantum Quench in the Transverse Field Ising Chain
• Universal slow growth of entanglement in interacting strongly disordered systems
• Universal dynamics and renormalization in many body localized systems
• Many-Body Localization in a Quasiperiodic System
• Fate of many-body localization under periodic driving
• Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
• Many-body localization in one dimension as a dynamical renormalization group fixed point
• Quantum Simulation for High Energy Physics
• Exact Excited States of Non-Integrable Models
• Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
• Review: Local Integrals of Motion in Many-Body Localized systems
• Localization and Glassy Dynamics Of Many-Body Quantum Systems
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Off-diagonal matrix elements of local operators in many-body quantum systems
• Quantum phase transitions in transverse field spin models: from statistical physics to quantum information
• Many body localization and quantum non-ergodicity in a model with a single-particle mobility edge
• Pre-thermalization in a non-integrable quantum spin chain after a quench
• Robustness of many-body localization in the presence of dissipation
• Dynamics of many-body localisation in a translation invariant quantum glass model
• Enhancement in performance of quantum battery by ordered and disordered interactions
• Quantum Disentangled Liquids
• Density propagator for many-body localization: finite size effects, transient subdiffusion, and exponential decay
• Rare thermal bubbles at the many-body localization transition from the Fock space point of view
• Quantum Mutual Information as a Probe for Many-Body Localization
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
• Quantum nonergodicity and fermion localization in a system with a single-particle mobility edge
• Purification and many-body localization in cold atomic gases
• Quantum quenches as classical critical films
• Nature of Many-Body Localization and Transitions by Density Matrix Renormaliztion Group and Exact Diagonalization Studies
• Quench Dynamics in Randomly Generated Extended Quantum Models
• Quantum East model: localization, non-thermal eigenstates and slow dynamics
• Thermalization of Interacting Fermions and Delocalization in Fock space
• Relaxation, pre-thermalization and diffusion in a noisy Quantum Ising Chain
• Quantum quenches in disordered systems: Approach to thermal equilibrium without a typical relaxation time
• Energy transport between two integrable spin chains
• Time Fluctuations in Isolated Quantum Systems of Interacting Particles
• Total correlations of the diagonal ensemble herald the many-body localization transition
• Many-Body Localization in Spin Chain Systems with Quasiperiodic Fields
• Signatures of many-body localisation in the dynamics of two-sites entanglement
• Spectral tensor networks for many-body localization
• Locality and thermalization in closed quantum systems
• Level statistics of disordered spin-1/2 systems and its implications for materials with localized Cooper pairs
• Solving efficiently the dynamics of many-body localized systems at strong disorder
• Drive Induced Delocalization in Aubry-André Model
• Many-body localization and mobility edge in a disordered Heisenberg spin ladder
• Quench dynamics and parity blocking in Majorana wires
• Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in $d$ spatial dimensions
• All-optical nonequilibrium pathway to stabilizing magnetic Weyl semimetals in pyrochlore iridates
• Relaxation and Thermalization after a Quantum Quench: Why Localization is Important
• Quantum Battery with Ultracold Atoms: Bosons vs. Fermions
• Effects of the interplay between initial state and Hamiltonian on the thermalization of isolated quantum many-body systems
• Thermalisation of Local Observables in Small Hubbard Lattices
• Applicability of the generalized Gibbs ensemble after a quench in the quantum Ising chain
• Chaos and quantum scars in Bose-Josephson junction coupled to a bosonic mode
• Emergent ergodicity at the transition between many-body localized phases
• Thermalization in a periodically driven fully-connected quantum Ising ferromagnet
• Universal Superfluid Transition and Transport Properties of Two-Dimensional Dirty Bosons
• Non-equilibrium quantum relaxation across a localization-delocalization transition
• Delocalization and quantum chaos in atom-field systems
• Linear Ramps of Interaction in the Fermionic Hubbard Model
• Exploring many body localization and thermalization using semiclassical method
• Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking
• Entanglement scaling of excited states in large one-dimensional many-body localized systems
• Many-body self-localization in a translation-invariant Hamiltonian
• Classification of Quench Dynamical Behaviours in Spinor Condensates
• Numerical evidence for many-body localization in two and three dimensions
• Non-thermal statistics in isolated quantum spin clusters after a series of perturbations
• Many-body localization in Ising models with random long-range interactions
• Non equilibrium phase transitions and Floquet Kibble-Zurek scaling
• Many-body localization and thermalization in the full probability distribution function of observables
• Finite-size scaling with respect to interaction and disorder strength at the many-body localization transition
• Two particle excited states entanglement entropy in a one-dimensional ring
• Nonequilibrium quench dynamics in quantum quasicrystals
• A uniform area law for the entanglement of eigenstates in the disordered XY chain
• Many-body ground state localization and coexistence of localized and extended states in an interacting quasiperiodic system
• Out of equilibrium dynamics of classical and quantum complex systems
• The approach to typicality in many-body quantum systems
• Out-of-equilibrium dynamics and thermalization of string order
• Fidelity susceptibility and general quench near an anisotropic quantum critical point
• Many-body Localization Transition in Rokhsar-Kivelson-type wave functions
• Entanglement and thermodynamic entropy in a clean many-body-localized system
• Quantum diffusion and thermalization at resonant tunneling
• Regularity and chaos in cavity QED
• Characterizing time-irreversibility in disordered fermionic systems by the effect of local perturbations
• Large $N$ phase transitions and the fate of small Schwarzschild-AdS black holes
• Numerical linked cluster expansions for inhomogeneous systems
• Dynamics of coherence: Maximal quantum Fisher information vs. Loschmidt echo
• Boltzmann relaxation dynamics in the strongly interacting Fermi-Hubbard model
• Many-body localization transition through pairwise correlations
• Nonequilibrium dynamics of the Ising chain in a fluctuating transverse field
• Stable many-body localization under random continuous measurements in the no-click limit
• Eigenstates of Thiophosgene Near the Dissociation Threshold -- Deviations From Ergodicity
• On the possibility of many-body localization in a doped Mott insulator
• Optimal control of many-body quantum dynamics: chaos and complexity
• Spontaneous magnetization of quantum $XY$ spin model in joint presence of quenched and annealed disorder
• Entanglement entropy of low-lying excitation in localized interacting system: Signature of Fock space delocalization
• Extended dynamic Mott-transition in the two-band Hubbard model out of equilibrium
• Order-from-disorder and critical scalings of spontaneous magnetization in random-field quantum spin systems
• Evolution of the magnetization after a local quench in the critical transverse-field Ising chain
• Boltzmann transport theory for many body localization
• Thermalization and dynamics in the single impurity Anderson model
• High-accuracy Hamiltonian learning via delocalized quantum state evolutions
• Interaction-Induced Characteristic Length in Strongly Many-Body Localized Systems
• Entanglement and complexity of interacting qubits subject to asymmetric noise
• Critical quench dynamics of random quantum spin chains: Ultra-slow relaxation from initial order and delayed ordering from initial disorder
• Quench dynamics of Anderson impurity model using configuration interaction method
• Rydberg rings
• Interplay of Anderson localization and quench dynamics
• Anderson-Mott transition in a disordered Hubbard model with correlated hopping
• Trends of information backflow in disordered spin chains
• Dynamics of Anderson localization in disordered wires
• Multipoint entanglement in disordered systems
• Stochastic and long-distance level spacing statistics in many-body localization
• An Explicit Bound for Dynamical Localisation in an Interacting Many-Body System
• Finite time path field theory perturbative methods for local quantum spin chain quenches
• Julia Set in Quantum Evolution: The case of Dynamical Quantum Phase Transitions
• Finite time path field theory and a new type of universal quantum spin chain quench behavior
• Work and heat exchanged during sudden quenches of strongly coupled quantum systems
• Nonequilibrium localization and the interplay between disorder and interactions