13-46 V. Jaksic, C.-A. Pillet, M. Westrich

Entropic fluctuations of quantum dynamical semigroups (707K, pdf) May 19, 13

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Abstract. We study a class of finite dimensional quantum dynamical semigroups exp(tL) 
whose generators
 L are sums of Lindbladians satisfying the detailed balance condition. Such semigroups 
arise in the weak coupling (van Hove) limit of Hamiltonian dynamical systems describing
 open quantum systems out of equilibrium. We prove a general entropic fluctuation theorem
 for this class of semigroups by relating the cumulant generating function of entropy transport to the
 spectrum of a family of deformations of the generator L. We show that, besides the celebrated
 Evans-Searles symmetry, this cumulant generating function also satisfies the translation symmetry 
recently discovered by Andrieux et al., and that in the linear regime near equilibrium 
these two symmetries yield Kubo's and Onsager's linear response relations.


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