Prethermalisation and Thermalisation in the Entanglement Dynamics
arXiv:2007.01286 · doi:10.1103/PhysRevB.102.094303
Abstract
We investigate the crossover of the entanglement entropy towards its thermal value in nearly integrable systems. We employ equation of motion techniques to study the entanglement dynamics in a lattice model of weakly interacting spinless fermions after a quantum quench. For weak enough interactions we observe a two-step relaxation of the entanglement entropies of finite subsystems. Initially the entropies follow a nearly integrable evolution, approaching the value predicted by the Generalized Gibbs Ensemble (GGE) of the unperturbed model. Then, they start a slow drift towards the thermal stationary value described by a standard Gibbs Ensemble (GE). While the initial relaxation to the GGE is independent of the interaction, the slow drift from GGE to GE values happens on time scales proportional to the inverse interaction squared. For asymptotically large times and subsystem sizes the dynamics of the entropies can be predicted using a modified quasiparticle picture that keeps track of the evolution of the fermionic occupations caused by the integrability breaking. This picture gives a quantitative description of the results as long as the integrability-breaking timescale is much larger than the one associated with the (quasi) saturation to the GGE. In the opposite limit the quasiparticle picture still provides the correct late-time behaviour, but it underestimates the initial slope of the entanglement entropy.
15 pages, 8 figures; v2 as appears in Phys. Rev. B
References in corpus (126)
- Many-Body Physics with Ultracold Gases
- Nonequilibrium dynamics of closed interacting quantum systems
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A Covariant Holographic Entanglement Entropy Proposal
- Black holes as mirrors: quantum information in random subsystems
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Quantum thermalization through entanglement in an isolated many-body system
- Fast Scramblers
- Calculation of reduced density matrices from correlation functions
- Unbounded growth of entanglement in models of many-body localization
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Quantum many-body scars
- Many body localization in Heisenberg XXZ magnet in a random field
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Reduced density matrices and entanglement entropy in free lattice models
- Operator Spreading in Random Unitary Circuits
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Experimental Observation of a Generalized Gibbs Ensemble
- Probing entanglement entropy via randomized measurements
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Interaction Quench in the Hubbard model
- Entropy scaling and simulability by Matrix Product States
- Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
- Entanglement Tsunami: Universal Scaling in Holographic Thermalization
- Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
- Emergent SU(2) dynamics and perfect quantum many-body scars
- Real time confinement following a quantum quench to a non-integrable model
- Generalized HydroDynamics on an Atom Chip
- Entanglement Entropy dynamics in Heisenberg chains
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Quench dynamics across quantum critical points
- Can One Trust Quantum Simulators?
- Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
- Holographic Evolution of Entanglement Entropy
- Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions
- Entanglement dynamics after quantum quenches in generic integrable systems
- Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
- Prethermalization and thermalization in models with weak integrability breaking
- Perturbation Theory by Flow Equations: Dimerized and Frustrated S=1/2 Chain
- Thermalization near integrability in a dipolar quantum Newton's cradle
- Prethermalization and universal dynamics in near-integrable quantum systems
- Exact dynamics in dual-unitary quantum circuits
- Dynamical quantum phase transitions in random spin chains
- Entanglement spreading in a minimal model of maximal many-body quantum chaos
- Entanglement Scrambling in 2d Conformal Field Theory
- Validity of the GGE for quantum quenches from interacting to noninteracting models
- Unitary circuits of finite depth and infinite width from quantum channels
- Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
- Nonthermal states arising from confinement in one and two dimensions
- Pre-thermalization in a non-integrable quantum spin chain after a quench
- Quench Dynamics in a Model with Tuneable Integrability Breaking
- Entropy of isolated quantum systems after a quench
- The microscopic origin of thermodynamic entropy in isolated systems
- Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1+1d
- The entanglement membrane in chaotic many-body systems
- Prethermalization and Thermalization in Isolated Quantum Systems
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- On Conservation Laws, Relaxation and Pre-relaxation after a Quantum Quench
- Dynamics of entanglement and transport in 1D systems with quenched randomness
- Metastable superfluidity of repulsive fermionic atoms in optical lattices
- Diffusive hydrodynamics from integrability breaking
- Hydrodynamic long-time tails after a quantum quench
- Real-time evolution for weak interaction quenches in quantum systems
- On the quantum Boltzmann equation
- On entropy growth and the hardness of simulating time evolution
- Quasilocalized dynamics from confinement of quantum excitations
- Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases
- Spread of entanglement and causality
- Entanglement and quantum transport in integrable systems
- Quench action and Renyi entropies in integrable systems
- Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
- Non-Equilibrium Dynamics and Weakly Broken Integrability
- Thermalization and light cones in a model with weak integrability breaking
- Far-from-equilibrium field theory of many-body quantum spin systems: Prethermalization and relaxation of spin spiral states in three dimensions
- Entanglement Growth after a Global Quench in Free Scalar Field Theory
- Confinement and lack of thermalization after quenches in the bosonic Schwinger model
- Entanglement evolution and generalised hydrodynamics: interacting integrable systems
- Entanglement dynamics in short and long-range harmonic oscillators
- Entanglement entropy dynamics of disordered quantum spin chains
- Multi-speed prethermalization in spin models with power-law decaying interactions
- Entanglement Oscillations near a Quantum Critical Point
- Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
- Hybrid semiclassical theory of quantum quenches in one dimensional systems
- Quantum information dynamics in multipartite integrable systems
- Relaxation timescales and decay of correlations in a long-range interacting quantum simulator
- Entanglement in a periodic quench
- Quantum quenches from excited states in the Ising chain
- Quantum information scrambling after a quantum quench
- Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate
- Boundary State in an Integrable Quantum Field Theory Out of Equilibrium
- Quantum Quench and Prethermalization Dynamics in A Two-Dimensional Fermi Gas with Long-range Interactions
- Entanglement production in bosonic systems: Linear and logarithmic growth
- On the theory of quantum quenches in near-critical systems
- Pre-relaxation in weakly interacting models
- Entangling power of time-evolution operators in integrable and nonintegrable many-body systems
- Rényi entropies after releasing the Néel state in the XXZ spin-chain
- Exact solution for the quench dynamics of a nested integrable system
- Stationary entanglement entropies following an interaction quench in 1D Bose gas
- Slowest local operators in quantum spin chains
- Entanglement Tsunami in (1+1)-Dimensions
- Entanglement revivals as a probe of scrambling in finite quantum systems
- Not to normal order - Notes on the kinetic limit for weakly interacting quantum fluids
- Spreading of entanglement and correlations after a quench with intertwined quasiparticles
- Quantum quenches with integrable pre-quench dynamics
- Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
- Entanglement and diagonal entropies after a quench with no pair structure
- Global large time dynamics and the generalized Gibbs ensemble
- Hydrodynamics of nonintegrable systems from a relaxation-time approximation
- Rényi entropies of generic thermodynamic macrostates in integrable systems
- Non-equilibrium quantum relaxation across a localization-delocalization transition
- Entanglement prethermalization: Locally thermal but non-locally non-thermal states in a one-dimensional Bose gas
- Dynamical manifestation of Gibbs paradox after a quantum quench
- Prethermalization at Low Temperature: the Scent of Long-Range Order
- Matrix-valued Boltzmann Equation for the Hubbard Chain
- Matrix-valued Boltzmann equation for the non-integrable Hubbard chain
- Renormalization by Continuous Unitary Transformations: One-Dimensional Spinless Fermions
- Nonequilibrium quench dynamics in quantum quasicrystals
- Thermalization rates in the one dimensional Hubbard model with next-to-nearest neighbor hopping
- Glass-like Behavior in a System of One Dimensional Fermions after a Quantum Quench
- Kinetic description of thermalization dynamics in weakly interacting quantum systems
- Universal prethermalization dynamics of entanglement entropies after a global quench
- Equations of Motion for the Out-of-Equilibrium Dynamics of Isolated Quantum Systems from the Projection Operator Technique
Cited by in corpus (16)
- Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
- Thermalisation of a trapped one-dimensional Bose gas via diffusion
- Entanglement barrier and its symmetry resolution: theory and experiment
- Entanglement spreading in non-equilibrium integrable systems
- Lack of symmetry restoration after a quantum quench: an entanglement asymmetry study
- Diffusive Hydrodynamics of Inhomogenous Hamiltonians
- Real-Time Evolution in the Hubbard Model with Infinite Repulsion
- Unified entropies and quantum speed limits for nonunitary dynamics
- Entanglement dynamics of thermofield double states in integrable models
- Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
- Translation symmetry restoration in integrable systems: the noninteracting case
- Entanglement propagation and dynamics in non-additive quantum systems
- Quench dynamics of Rényi negativities and the quasiparticle picture
- Post quench entropy growth in a chiral clock model
- Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
- Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model