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Quantum fluctuation theorems in the strong damping limit

2009/02/28 by Sebastian Deffner, Michael Brunner, Eric Lutz · 1 citation
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Entropy production #Fluctuation theorem #Non-equilibrium thermodynamics #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Statistical physics #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1209/0295-5075/94/30001

published as EPL, 94 (2011) 30001 · 6 pages, 2 figures, with simplified derivation and examples added

arxiv created 2010/11/16 · openalex publication_date 2011/04/21 · arxiv updated 2011/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a driven quantum particle in the strong friction regime described by the quantum Smoluchowski equation. We derive Crooks and Jarzynski type relations for the reduced quantum system by properly generalizing the entropy production to take into account the non-Gibbsian character of the equilibrium distribution. In the case of a nonequilibrium steady state, we obtain a quantum version of the Hatano-Sasa relation. We further propose an experiment with driven Josephson junctions that would allow to investigate nonequilibrium entropy fluctuations in overdamped quantum systems.

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