Unifying relation for quantum systems driven out of equilibrium

Details Unifying relation for quantum systems driven out of equilibrium Unifying relation for quantum systems driven out of equilibrium

2011-04-27

arxiv.org/abs/1104.5190v5

Physics

Condensed Matter

Statistical Mechanics

31 pages. Sec.III, Sec.IV, and Sec.IX have been substantially revised. The results remain mainly intact

Scientific paper

We extend a classical relation by Crooks to quantum systems and show that it unifies the Crooks transient fluctuation theorem and the Kawasaki non-linear response relation, which leads to the standard linear response theory. We also show that the Green-Kubo formula for a system in a steady state driven by a time-independent driving force is always expressed in terms of the symmetrized correlation function for a quantity induced by the driving force and that a generalized entropy for systems in steady heat conduction states satisfies extensions of the Clausius and the Gibbs relations exactly.

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