Derivation of quantum work equalities using quantum Feynman-Kac formula

Details Derivation of quantum work equalities using quantum Feynman-Kac formula Derivation of quantum work equalities using quantum Feynman-Kac formula

2012-01-07

arxiv.org/abs/1201.1557v3

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

On the basis of a quantum mechanical analogue of the famous Feynman-Kac formula and the Kolmogorov picture, we present a novel method to derive nonequilibrium work equalities for isolated quantum systems, which include the Jarzynski equality and Bochkov-Kuzovlev equality. Compared with previous methods in the literature, our method shows higher similarity in form to that deriving the classical fluctuation relations, which would give important insight when exploring new quantum fluctuation relations.

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