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Title: Measuring effective temperatures in a generalized Gibbs ensemble

Abstract

The local physical properties of an isolated quantum statistical system in the stationary state reached long after a quench are generically described by the Gibbs ensemble, which involves only its Hamiltonian and the temperature as a parameter. Additional quantities conserved by the dynamics intervene in the description of the stationary state, if the system is instead integrable. The resulting generalized Gibbs ensemble involves a number of temperature-like parameters, the determination of which is practically difficult. We argue that in a number of simple models these parameters can be effectively determined by using fluctuation-dissipation relationships between response and correlation functions of natural observables, quantities which are accessible in experiments.

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. of Geneva (Switzerland). Dept. of Quantum Matter Physics; PSL Research Univ., Univ. of Paris-Diderot, Sorbonne Univ., UPMC Univ., Paris (France). Lab. of Statisical Physics and Dept. of Ecole Normale Superieure
  2. International School for Advanced Studies and National Inst. of Nuclear Physics (INFN), Trieste (Italy)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States). CMPMS Division
  4. Univ. Pierre et Marie Curie, Paris (France). Lab. of Theoretical Physics and High Energy
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
OSTI Identifier:
1412643
Alternate Identifier(s):
OSTI ID: 1356738
Report Number(s):
BNL-114304-2017-JA
Journal ID: ISSN 2470-0045; PLEEE8; R&D Project: PO015; KC0202030; TRN: US1800313
Grant/Contract Number:  
SC0012704; AC02-98CH10886; PHY 11-25915
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 95; Journal Issue: 5; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Foini, Laura, Gambassi, Andrea, Konik, Robert, and Cugliandolo, Leticia F. Measuring effective temperatures in a generalized Gibbs ensemble. United States: N. p., 2017. Web. doi:10.1103/PhysRevE.95.052116.
Foini, Laura, Gambassi, Andrea, Konik, Robert, & Cugliandolo, Leticia F. Measuring effective temperatures in a generalized Gibbs ensemble. United States. https://doi.org/10.1103/PhysRevE.95.052116
Foini, Laura, Gambassi, Andrea, Konik, Robert, and Cugliandolo, Leticia F. 2017. "Measuring effective temperatures in a generalized Gibbs ensemble". United States. https://doi.org/10.1103/PhysRevE.95.052116. https://www.osti.gov/servlets/purl/1412643.
@article{osti_1412643,
title = {Measuring effective temperatures in a generalized Gibbs ensemble},
author = {Foini, Laura and Gambassi, Andrea and Konik, Robert and Cugliandolo, Leticia F.},
abstractNote = {The local physical properties of an isolated quantum statistical system in the stationary state reached long after a quench are generically described by the Gibbs ensemble, which involves only its Hamiltonian and the temperature as a parameter. Additional quantities conserved by the dynamics intervene in the description of the stationary state, if the system is instead integrable. The resulting generalized Gibbs ensemble involves a number of temperature-like parameters, the determination of which is practically difficult. We argue that in a number of simple models these parameters can be effectively determined by using fluctuation-dissipation relationships between response and correlation functions of natural observables, quantities which are accessible in experiments.},
doi = {10.1103/PhysRevE.95.052116},
url = {https://www.osti.gov/biblio/1412643}, journal = {Physical Review E},
issn = {2470-0045},
number = 5,
volume = 95,
place = {United States},
year = {Thu May 11 00:00:00 EDT 2017},
month = {Thu May 11 00:00:00 EDT 2017}
}

Journal Article:

Citation Metrics:
Cited by: 19 works
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Works referencing / citing this record:

Momentum distribution and coherence of a weakly interacting Bose gas after a quench
journal, December 2018


Ballistic transport in the one-dimensional Hubbard model: The hydrodynamic approach
journal, August 2017


Equilibration of Quasi-Integrable Systems
text, January 2018