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Title: Thermalization and light cones in a model with weak integrability breaking

Journal Article · · Physical Review B
 [1];  [2];  [2];  [3]
  1. Univ. of Oxford, Oxford (United Kingdom); Sezione de Trieste, Trieste (Italy)
  2. Univ. of Oxford, Oxford (United Kingdom)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States)
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Here, we employ equation-of-motion techniques to study the nonequilibrium dynamics in a lattice model of weakly interacting spinless fermions. Our model provides a simple setting for analyzing the effects of weak integrability-breaking perturbations on the time evolution after a quantum quench. We establish the accuracy of the method by comparing results at short and intermediate times to time-dependent density matrix renormalization group computations. For sufficiently weak integrability-breaking interactions we always observe prethermalization plateaus, where local observables relax to nonthermal values at intermediate time scales. At later times a crossover towards thermal behavior sets in. We determine the associated time scale, which depends on the initial state, the band structure of the noninteracting theory, and the strength of the integrability-breaking perturbation. Our method allows us to analyze in some detail the spreading of correlations and in particular the structure of the associated light cones in our model. We find that the interior and exterior of the light cone are separated by an intermediate region, the temporal width of which appears to scale with a universal power law t1/3.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC00112704; SC0012704
OSTI ID:
1345733
Alternate ID(s):
OSTI ID: 1335716
Report Number(s):
BNL-113551-2017-JA; PRBMDO; R&D Project: PO015; KC0202030; TRN: US1701160
Journal Information:
Physical Review B, Vol. 94, Issue 24; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 51 works
Citation information provided by
Web of Science

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Relaxation timescales and decay of correlations in a long-range interacting quantum simulator text January 2012
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Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: Complete relaxation of one-body observables text January 2013
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Propagation of quantum correlations after a quench in the Mott-insulator regime of the Bose-Hubbard model text January 2014
Quantum quenches with integrable pre-quench dynamics text January 2014
Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases text January 2014
Quantum quenches and Generalized Gibbs Ensemble in a Bethe Ansatz solvable lattice model of interacting bosons text January 2014
Slowest local operators in quantum spin chains text January 2014
Short-time universal scaling in an isolated quantum system after a quench text January 2014
Pre-relaxation in weakly interacting models text January 2015
From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics text January 2015
Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems text January 2015
The Quench Action text January 2016
Prethermalization and universal dynamics in near-integrable quantum systems text January 2016
Generalized Gibbs ensemble in integrable lattice models text January 2016
Determination of the Nonequilibrium Steady State Emerging from a Defect text January 2016
Quantum quenches to the attractive one-dimensional Bose gas: exact results text January 2016
Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents text January 2016
Hamiltonian truncation approach to quenches in the Ising field theory text January 2016
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Cited By (15)

Entanglement and thermodynamics after a quantum quench in integrable systems journal July 2017
Quantum kinetic perturbation theory for near-integrable spin chains with weak long-range interactions journal September 2019
Exact solution for the quench dynamics of a nested integrable system journal August 2017
Equilibration in one-dimensional quantum hydrodynamic systems journal September 2017
How order melts after quantum quenches journal January 2020
Explicit construction of quasiconserved local operator of translationally invariant nonintegrable quantum spin chain in prethermalization journal December 2017
Typicality of Prethermalization journal March 2019
Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains text January 2019
Approximate light cone effects in a non-relativistic quantum field theory after a local quench text January 2016
Exact solution for the quench dynamics of a nested integrable system text January 2017
Incomplete thermalization from trap-induced integrability breaking: lessons from classical hard rods text January 2017
Light-cone velocities after a global quench in a non-interacting model text January 2018
How order melts after quantum quenches text January 2019
Quantum information scrambling after a quantum quench text January 2019
Heating Rates in Periodically Driven Strongly Interacting Quantum Many-Body Systems text January 2019

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