1210.8085 (Hiroshi Matsuoka)

The principle of microreversibility and the fluctuation relations for
quantum systems driven out of equilibrium    [PDF]

Hiroshi Matsuoka

For classical systems driven out of equilibrium, Crooks derived a relation, whose special cases include a relation equivalent to the Kawasaki non-linear response relation. For quantum systems driven out of equilibrium, a quantum extension of the latter of these two relations does not require the principle of microreversibility but leads to the Jarzynski equality and the standard linear response theory with a Green-Kubo formula in terms of a canonical correlation function whereas a quantum extension of the former based on the principle of microreversibility leads to the Crooks transient fluctuation theorem and the fluctuation theorem for current or shear stress, which leads to a Green-Kubo formula with a symmetrized correlation function. We show that the quantum extension of the former is equivalent to that of the latter together with a direct consequence of the principle of microreversibility.

View original: http://arxiv.org/abs/1210.8085