Large deviation generating function for energy transport in the Pauli-Fierz model

Details Large deviation generating function for energy transport in the Pauli-Fierz model Large deviation generating function for energy transport in the Pauli-Fierz model

2007-04-25

arxiv.org/abs/0704.3400v3

Physics

Mathematical Physics

26 pages, 0 figures. v2 --> v3 major changes in notation and presentation. proofs have been made more compact

Scientific paper

We consider a finite quantum system coupled to quasifree thermal reservoirs at different temperatures. Under the assumptions of small coupling and exponential decay of the reservoir correlation function, the large deviation generating function of energy transport into the reservoirs is shown to be analytic on a bounded set. Our method is different from the spectral deformation technique which was employed recently in the study of spin-boson-like models. As a corollary, we derive the Gallavotti-Cohen fluctuation relation for the entropy production and a central limit theorem for energy transport.

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