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We consider a finite quantum system coupled to quasifree thermal reservoirsat different temperatures. Under the assumptions of small coupling andexponential decay of the reservoir correlation function, the large deviationgenerating function of energy transport into the reservoirs is shown to beanalytic on a bounded set. Our method is different from the spectraldeformation technique which was employed recently in the study ofspin-boson-like models. As a corollary, we derive the Gallavotti-Cohenfluctuation relation for the entropy production and a central limit theorem forenergy transport.

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