Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems

Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems

Phys. Rev. E 90, 022107 (2014) 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 a...

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Bibliographic Details
Main Authors: Hickey, James M, Genway, Sam
Format: Journal Article
Language:English
Published: 14-03-2014
Subjects:
Physics - Quantum Physics
Physics - Statistical Mechanics
Online Access:Get full text
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Summary:Phys. Rev. E 90, 022107 (2014) 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.
DOI:10.48550/arxiv.1403.3542