Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems
Statistical Mechanics
2015-06-19 v1 Quantum Physics
Abstract
We derive fluctuation relations for a many-body quantum system prepared in a Generalised Gibbs Ensemble subject to a general nonequilibrium protocol. By considering isolated integrable systems, we find generalisations to the Tasaki-Crooks and Jarzynski relations. Our approach is illustrated by studying the one-dimensional quantum Ising model subject to a sudden change in the transverse field, where we find that the statistics of the work done and irreversible entropy show signatures of quantum criticality. We discuss these fluctuation relations in the context of thermalisation.
Cite
@article{arxiv.1403.3542,
title = {Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems},
author = {James M. Hickey and Sam Genway},
journal= {arXiv preprint arXiv:1403.3542},
year = {2015}
}