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Title: Prethermalization and Thermalization in Models with Weak Integrability Breaking

Abstract

We study the effects of integrability-breaking perturbations on the nonequilibrium evolution of many-particle quantum systems. We focus on a class of spinless fermion models with weak interactions. We employ equation of motion techniques that can be viewed as generalizations of quantum Boltzmann equations. We benchmark our method against time-dependent density matrix renormalization group computations and find it to be very accurate as long as interactions are weak. For small integrability breaking, we observe robust prethermalization plateaux for local observables on all accessible time scales. Increasing the strength of the integrability-breaking term induces a “drift” away from the prethermalization plateaux towards thermal behavior. We identify a time scale characterizing this crossover.

Authors:
 [1];  [1];  [1];  [2]
  1. Univ. of Oxford (United Kingdom)
  2. Univ. of Oxford (United Kingdom); 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) (SC-22)
OSTI Identifier:
1425066
Alternate Identifier(s):
OSTI ID: 1224665
Report Number(s):
BNL-111706-2016-JAAM
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US1802027
Grant/Contract Number:  
SC0012704; DEAC02-98CH10886
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 115; Journal Issue: 18; Journal ID: ISSN 0031-9007
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. Prethermalization and Thermalization in Models with Weak Integrability Breaking. United States: N. p., 2015. Web. doi:10.1103/PhysRevLett.115.180601.
Bertini, Bruno, Essler, Fabian H. L., Groha, Stefan, & Robinson, Neil J. Prethermalization and Thermalization in Models with Weak Integrability Breaking. United States. doi:10.1103/PhysRevLett.115.180601.
Bertini, Bruno, Essler, Fabian H. L., Groha, Stefan, and Robinson, Neil J. Thu . "Prethermalization and Thermalization in Models with Weak Integrability Breaking". United States. doi:10.1103/PhysRevLett.115.180601. https://www.osti.gov/servlets/purl/1425066.
@article{osti_1425066,
title = {Prethermalization and Thermalization in Models with Weak Integrability Breaking},
author = {Bertini, Bruno and Essler, Fabian H. L. and Groha, Stefan and Robinson, Neil J.},
abstractNote = {We study the effects of integrability-breaking perturbations on the nonequilibrium evolution of many-particle quantum systems. We focus on a class of spinless fermion models with weak interactions. We employ equation of motion techniques that can be viewed as generalizations of quantum Boltzmann equations. We benchmark our method against time-dependent density matrix renormalization group computations and find it to be very accurate as long as interactions are weak. For small integrability breaking, we observe robust prethermalization plateaux for local observables on all accessible time scales. Increasing the strength of the integrability-breaking term induces a “drift” away from the prethermalization plateaux towards thermal behavior. We identify a time scale characterizing this crossover.},
doi = {10.1103/PhysRevLett.115.180601},
journal = {Physical Review Letters},
number = 18,
volume = 115,
place = {United States},
year = {2015},
month = {10}
}

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Cited by: 42 works
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