Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems

Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems

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 study...

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Veröffentlicht in:arXiv.org 2014-03
Hauptverfasser: Hickey, James M, Genway, Sam
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Ising model
Physics - Quantum Physics
Physics - Statistical Mechanics
Quantum theory
Variation
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description 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.
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subjects Ising model
Physics - Quantum Physics
Physics - Statistical Mechanics
Quantum theory
Variation
title Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems
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