Quantum fluctuation theorems in the strong damping limit

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https://iopscience.iop.org/article/10.1209/0295-5075/94/30001

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10.1209/0295-5075/94/30001
 http://hdl.handle.net/11603/19416

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UMBC Physics Department
UMBC Joint Center for Earth Systems Technology (JCET)

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2011-04-21

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journal articles preprints
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Citation of Original Publication

S. Deffner, M. Brunner and E. Lutz, Quantum fluctuation theorems in the strong damping limit, EPL (Europhysics Letters), Volume 94, Number 3, 10.1209/0295-5075/94/30001

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© EPLA, 2011

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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.