Quantum fluctuation theorem: Can we go from micro to meso?

Details Quantum fluctuation theorem: Can we go from micro to meso? Quantum fluctuation theorem: Can we go from micro to meso?

2007-03-13

arxiv.org/abs/cond-mat/0703347v2

Physics

Condensed Matter

Statistical Mechanics

Conference Proceedings (Brussels, march 2006), 10 pages, to appear in Comptes rendus - Physique

Scientific paper

10.1016/j.crhy.2007.05.014

Quantum extensions of the Gallavotti-Cohen fluctuation theorem (FT) for the entropy production have been discussed by several authors. There is a practical gap between microscopic forms of FT and mesoscopic (i.e. not purely Hamiltonian) forms for open systems. In a microscopic setup, it is easy to state and to prove FT. In a mesoscopic setup, it is difficult to identify fluctuations of the entropy production. (This difficulty is absent in the classical case.) We discuss a particular mesoscopic model: a Lindblad master equation, in which we state FT and, more importantly, connect it rigorously with the underlying microscopic FT. We also remark that FT is satisfied by the Lesovik-Levitov formula for statistics of charge transport.

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