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

Abstract

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.

Authors:
 [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)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1345733
Alternate Identifier(s):
OSTI ID: 1335716
Report Number(s):
BNL-113551-2017-JA
Journal ID: ISSN 2469-9950; PRBMDO; R&D Project: PO015; KC0202030; TRN: US1701160
Grant/Contract Number:  
SC00112704; SC0012704
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 94; Journal Issue: 24; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Bertini, Bruno, Essler, Fabian H. L., Groha, Stefan, and Robinson, Neil J. Thermalization and light cones in a model with weak integrability breaking. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.94.245117.
Bertini, Bruno, Essler, Fabian H. L., Groha, Stefan, & Robinson, Neil J. Thermalization and light cones in a model with weak integrability breaking. United States. https://doi.org/10.1103/PhysRevB.94.245117
Bertini, Bruno, Essler, Fabian H. L., Groha, Stefan, and Robinson, Neil J. 2016. "Thermalization and light cones in a model with weak integrability breaking". United States. https://doi.org/10.1103/PhysRevB.94.245117. https://www.osti.gov/servlets/purl/1345733.
@article{osti_1345733,
title = {Thermalization and light cones in a model with weak integrability breaking},
author = {Bertini, Bruno and Essler, Fabian H. L. and Groha, Stefan and Robinson, Neil J.},
abstractNote = {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.},
doi = {10.1103/PhysRevB.94.245117},
url = {https://www.osti.gov/biblio/1345733}, journal = {Physical Review B},
issn = {2469-9950},
number = 24,
volume = 94,
place = {United States},
year = {2016},
month = {12}
}

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Cited by: 8 works
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