Large deviation generating function for energy transport in the Pauli-Fierz model
arXiv:0704.3400
Abstract
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.
26 pages, 0 figures. v2 --> v3 major changes in notation and presentation. proofs have been made more compact
References in corpus (5)
- Dissipative Transport: Thermal Contacts and Tunnelling Junctions
- Full Counting Statistics: An elementary derivation of Levitov's formula
- Steady state fluctuations of the dissipated heat for a quantum stochastic model
- On the Fluctuations of Macroscopic Observables in Quantum Nonequilibrium Steady States
- Reduced and Extended Weak Coupling Limit