Prethermalization and Thermalization in Isolated Quantum Systems
arXiv:1810.12320 · doi:10.1103/PhysRevX.9.021027
Abstract
Prethermalization has been extensively studied in systems close to integrability. We propose a more general, yet conceptually simpler, setup for this phenomenon. We consider a---possibly nonintegrable---reference dynamics, weakly perturbed so that the perturbation breaks at least one conservation law of the reference dynamics. We argue then that the evolution of the system proceeds via intermediate (generalized) equilibrium states of the reference dynamics. The motion on the manifold of equilibrium states is governed by an autonomous equation, flowing towards global equilibrium in a time of order 1/g^2, where g is the perturbation strength. We also describe the leading correction to the time-dependent reference equilibrium state, which is, in general, of order g. The theory is well confirmed in numerical calculations of model Hamiltonians, for which we use a numerical linked cluster expansion and full exact diagonalization.
20 pages, 13 figures, as published
References in corpus (51)
- Many-Body Physics with Ultracold Gases
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- 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
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Generalized Gibbs ensemble in integrable lattice models
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Experimental Observation of a Generalized Gibbs Ensemble
- Time evolution of local observables after quenching to an integrable model
- Equilibrium states of generic quantum systems subject to periodic driving
- Long-time behavior of periodically driven isolated interacting lattice systems
- Breakdown of thermalization in finite one-dimensional systems
- Prethermalization
- Interaction Quench in the Hubbard model
- Dynamical phase transition in correlated fermionic lattice systems
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
- Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
- Generalized Thermalization in an Integrable Lattice System
- Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
- A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
- Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
- Prethermalization and thermalization in models with weak integrability breaking
- Periodic thermodynamics of isolated systems
- Thermalization near integrability in a dipolar quantum Newton's cradle
- Prethermalization and universal dynamics in near-integrable quantum systems
- The Quench Action
- Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
- Numerical Linked-Cluster Approach to Quantum Lattice Models
- Pre-thermalization in a non-integrable quantum spin chain after a quench
- Quench Dynamics in a Model with Tuneable Integrability Breaking
- Quantum Quenches in the Thermodynamic Limit
- Hydrodynamic long-time tails after a quantum quench
- Real-time evolution for weak interaction quenches in quantum systems
- Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
- Thermalization and light cones in a model with weak integrability breaking
- Stroboscopic prethermalization in weakly interacting periodically driven systems
- Time-dependent generalized Gibbs ensembles in open quantum systems
- Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems
- Quantum Quenches in the Luttinger model and its close relatives
- Quantum Quench and Prethermalization Dynamics in A Two-Dimensional Fermi Gas with Long-range Interactions
- Kinetic Limit for Wave Propagation in a Random Medium
- Perturbative approach to weakly driven many-particle systems in the presence of approximate conservation laws
- Quantum Quenches and Relaxation Dynamics in the Thermodynamic Limit
- Typicality of Prethermalization
- Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach
- Prethermalization from a low-density Holstein-Primakoff expansion
- Numerical linked cluster expansions for quantum quenches in one dimensional lattices
Cited by in corpus (124)
- Finite-temperature transport in one-dimensional quantum lattice models
- Entanglement in a fermion chain under continuous monitoring
- Lecture notes on Generalised Hydrodynamics
- Superdiffusion in spin chains
- Diffusive hydrodynamics from integrability breaking
- The isolated Heisenberg magnet as a quantum time crystal
- Floquet prethermalization in a Bose-Hubbard system
- Extension of the Generalized Hydrodynamics to the Dimensional Crossover Regime
- Non-Equilibrium Dynamics and Weakly Broken Integrability
- Hydrodynamics of weak integrability breaking
- Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
- Universality in the onset of quantum chaos in many-body systems
- Thermalisation of a trapped one-dimensional Bose gas via diffusion
- Creating quantum many-body scars through topological pumping of a 1D dipolar gas
- Stability of superdiffusion in nearly integrable spin chains
- The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
- Classical Prethermal Phases of Matter
- Low-frequency behavior of off-diagonal matrix elements in the integrable XXZ chain and in a locally perturbed quantum-chaotic XXZ chain
- Generalised hydrodynamics with dephasing noise
- Entanglement barrier and its symmetry resolution: theory and experiment
- Emergent prethermalization signatures in out-of-time ordered correlations
- Slow Thermalization of Exact Quantum Many-Body Scar States Under Perturbations
- Strong correlations in lossy one-dimensional quantum gases: from the quantum Zeno effect to the generalized Gibbs ensemble
- Random multipolar driving: tunably slow heating through spectral engineering
- Heating Rates in Periodically Driven Strongly Interacting Quantum Many-Body Systems
- Operator growth in the transverse-field Ising spin chain with integrability-breaking longitudinal field
- Hyper-acceleration of quantum thermalization dynamics by bypassing long-lived coherences: An analytical treatment
- Anomalous low-frequency conductivity in easy-plane XXZ spin chains
- Classical approaches to prethermal discrete time crystals in one, two, and three dimensions
- Emergent Pauli blocking in a weakly interacting Bose gas
- Engineering dynamically decoupled quantum simulations with trapped ions
- Relaxation theory for perturbed many-body quantum systems versus numerics and experiment
- Characterizations of prethermal states in periodically driven many-body systems with unbounded chaotic diffusion
- Fermi's golden rule for heating in strongly driven Floquet systems
- Weak integrability breaking perturbations of integrable models
- The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement
- Fast scrambling without appealing to holographic duality
- Reaction-limited quantum reaction-diffusion dynamics
- Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
- A dynamical theory for one-dimensional fermions with strong two-body losses: universal non-Hermitian Zeno physics and spin-charge separation
- Diffusive Hydrodynamics of Inhomogenous Hamiltonians
- Adiabatic eigenstate deformations and weak integrability breaking of Heisenberg chain
- Prethermalisation and Thermalisation in the Entanglement Dynamics
- Thermalization of interacting quasi-one-dimensional systems
- One-dimensional spin-1/2 fermionic gases with two-body losses: weak dissipation and spin conservation
- Exponential damping induced by random and realistic perturbations
- Proof of absence of local conserved quantities in the mixed-field Ising chain
- Quasi-conserved charges in the perturbed spin-1/2 XXX model
- Prethermalization, thermalization, and Fermi's golden rule in quantum many-body systems
- Localized dynamics following a quantum quench in a non-integrable system: An example on the sawtooth ladder
- Engineering generalized Gibbs ensembles with trapped ions
- Non-equilibrium pre-thermal states in a two-dimensional photon fluid
- Open quantum systems coupled to finite baths: A hierarchy of master equations
- Floquet Prethermal Phase Protected by U(1) Symmetry on a Superconducting Quantum Processor
- Disorder-free localization in quantum walks
- Ballistic-to-diffusive transition in spin chains with broken integrability
- Theory of robust quantum many-body scars in long-range interacting systems
- Numerical linked cluster expansions for inhomogeneous systems
- Typical relaxation of perturbed quantum many-body systems
- Many-body localization transition in a frustrated XY chain
- Large-scale universality in quantum reaction-diffusion from Keldysh field theory
- Quantum reaction-limited reaction-diffusion dynamics of annihilation processes
- Spin diffusion in perturbed isotropic Heisenberg spin chain
- Theory of Coulomb blockaded transport in realistic Majorana nanowires
- Free energy fluxes and the Kubo-Martin-Schwinger relation
- Pre-thermalization in a classical phonon field: slow relaxation of the number of phonons
- Typicality of nonequilibrium (quasi-)steady currents
- From dissipationless to normal diffusion in easy-axis Heisenberg spin chain
- Multimagnon dynamics and thermalization in the easy-axis ferromagnetic chain
- Prethermal nematic order and staircase heating in a driven frustrated Ising magnet with dipolar interactions
- Accelerated gap collapse in a Slater antiferromagnet
- Slow relaxation of out-of-time-ordered correlators in interacting integrable and nonintegrable spin-1/2 XYZ chains
- Integrability breaking in the Rule 54 cellular automaton
- Multiple relaxation times in perturbed XXZ chain
- KAM-Stability for Conserved Quantities in Finite-Dimensional Quantum Systems
- Theory of metastable states in many-body quantum systems
- Robust effective ground state in a nonintegrable Floquet quantum circuit
- Long-lived coherence in driven spin systems: from two to infinite spatial dimensions
- Unbounded entropy production and violent fragmentation for repulsive-to-attractive interaction quench in long-range interacting systems
- Long-living prethermalization in nearly integrable spin ladders
- Slow thermalization and subdiffusion in conserving Floquet random circuits
- Adiabatic gauge potential and integrability breaking with free fermions
- Fermion-induced Dynamical Critical Point
- Quantum reaction-limited reaction-diffusion dynamics of noninteracting Bose gases
- Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure
- Metastable order protected by destructive many-body interference
- Spatiotemporal dynamics of classical and quantum density profiles in low-dimensional spin systems
- The effect of dressing on thermalization of interacting waves
- Prethermalization and conservation laws in quasi-periodically-driven quantum systems
- Back-reaction and correlation effects on pre-thermalization in Mott-Hubbard systems
- Prethermalization with negative specific heat
- Dynamical emergence of a Kosterlitz-Thouless transition in a disordered Bose gas following a quench
- Prethermalization in the PXP Model under Continuous Quasiperiodic Driving
- Key Observable for Linear Thermalization
- Non-equilibrium dynamics of bosons with dipole symmetry: Large- Keldysh approach
- Nontrivial damping of quantum many-body dynamics
- Dynamics of quantum coherence in many-body localized systems
- Prethermalization of quantum systems interacting with non-equilibrium environments
- Floquet theory and applications in open quantum and classical systems
- Low-energy prethermal phase and crossover to thermalization in nonlinear kicked rotors
- L-based numerical linked cluster expansion for square lattice models
- Energy diffusion and prethermalization in chaotic billiards under rapid periodic driving
- From time crystals to time quasicrystals: Exploring quasiperiodic phases in transverse field Ising chains
- Dynamical phase transition of light in time-varying nonlinear dispersive media
- Quench dynamics in the one-dimensional mass-imbalanced ionic Hubbard model
- Kinetics of Quantum Reaction-Diffusion systems
- Reaction-diffusion dynamics of the weakly dissipative Fermi gas
- Anomalous Landau damping and algebraic thermalization in two-dimensional superfluids far from equilibrium
- Dynamics in the presence of local symmetry-breaking impurities
- Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory
- Quasiconservation Laws and Suppressed Transport in Weakly Interacting Localized Models
- Apparent Heating due to Imperfect Calorimetric Measurements
- Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
- Dynamical control in a prethermalized molecular ultracold plasma: Local dissipation drives global relaxation
- Effects of intertube dipole-dipole interactions in nearly integrable one-dimensional Dy gases
- Fractionalized Prethermalization in the One-Dimensional Hubbard Model
- Tighter thermalization bounds for perturbed quantum many-body scars
- Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
- Basis dependence of eigenstate thermalization
- Tunable Hilbert space fragmentation and extended critical regime
- Stabilizing open photon condensates by ghost-attractor dynamics
- Entropy production and statistical relaxation of dipolar bosons and fermions in interaction quench dynamics
- From Near-Integrable to Far-from-Integrable: A Unified Picture of Thermalization and Heat Transport
- Adapted projection operator technique for the treatment of initial correlations