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Colloquium: Quantum fluctuation relations: Foundations and applications

Michele Campisi, Peter Hänggi, and Peter Talkner

Michele Campisi, Peter Hänggi, and Peter Talkner

  • Institute of Physics, University of Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany

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Rev. Mod. Phys. 83, 771 – Published 6 July, 2011Erratum Rev. Mod. Phys. 83, 1653 (2011)

DOI: https://doi.org/10.1103/RevModPhys.83.771

Abstract

Two fundamental ingredients play a decisive role in the foundation of fluctuation relations: the principle of microreversibility and the fact that thermal equilibrium is described by the Gibbs canonical ensemble. Building on these two pillars the reader is guided through a self-contained exposition of the theory and applications of quantum fluctuation relations. These are exact results that constitute the fulcrum of the recent development of nonequilibrium thermodynamics beyond the linear response regime. The material is organized in a way that emphasizes the historical connection between quantum fluctuation relations and (non)linear response theory. A number of fundamental issues are clarified which were not completely settled in the prior literature. The main focus is on (i) work fluctuation relations for transiently driven closed or open quantum systems, and (ii) on fluctuation relations for heat and matter exchange in quantum transport settings. Recently performed and proposed experimental applications are presented and discussed.

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Erratum

Erratum: Colloquium: Quantum fluctuation relations: Foundations and applications [Rev. Mod. Phys. 83, 771 (2011)]

Michele Campisi, Peter Hänggi, and Peter Talkner
Rev. Mod. Phys. 83, 1653 (2011)

Article Text

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Rev. Mod. Phys. 83, 771– Published 6 July, 2011
  • Received 10 December 2010

© 2011 American Physical Society

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