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:
-
- 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
- International School for Advanced Studies and National Inst. of Nuclear Physics (INFN), Trieste (Italy)
- Brookhaven National Lab. (BNL), Upton, NY (United States). CMPMS Division
- 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}
}
Web of Science
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