Measuring effective temperatures in a generalized Gibbs ensemble

Laura Foini, Andrea Gambassi, Robert Konik, and Leticia F. Cugliandolo
Phys. Rev. E 95, 052116 – Published 11 May 2017

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. If the system is instead integrable, additional quantities conserved by the dynamics intervene in the description of the stationary state. The resulting generalized Gibbs ensemble involves a number of temperature-like parameters, the determination of which is practically difficult. Here 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.

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  • Received 5 October 2016

DOI:https://doi.org/10.1103/PhysRevE.95.052116

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Laura Foini1,2, Andrea Gambassi3, Robert Konik4, and Leticia F. Cugliandolo5

  • 1Department of Quantum Matter Physics, University of Geneva, 24 Quai Ernest-Ansermet, CH-1211 Geneva, Switzerland
  • 2Laboratoire de Physique Statistique, Département de l'ENS, École Normale Supérieure, PSL Research University, Université Paris Diderot, Sorbonne Paris Cité, Sorbonne Universités, UPMC Univ. Paris 06, CNRS, 75005 Paris, France
  • 3SISSA–International School for Advanced Studies and INFN, via Bonomea 265, 34136 Trieste, Italy
  • 4CMPMS Division, Brookhaven National Laboratory, Building 734, Upton, New York 11973, USA
  • 5Sorbonne Universités, Université Pierre et Marie Curie–Paris 6, Laboratoire de Physique Théorique et Hautes Energies, 4, Place Jussieu, Tour 13, 5ème étage, 75252 Paris Cedex 05, France

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Issue

Vol. 95, Iss. 5 — May 2017

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