The fluctuation theorem for currents in open quantum systems

Abstract

A quantum-mechanical framework is set up to describe the full counting\nstatistics of particles flowing between reservoirs in an open system under\ntime-dependent driving. A symmetry relation is obtained which is the\nconsequence of microreversibility for the probability of the nonequilibrium\nwork and the transfer of particles and energy between the reservoirs. In some\nappropriate long-time limit, the symmetry relation leads to a steady-state\nquantum fluctuation theorem for the currents between the reservoirs. On this\nbasis, relationships are deduced which extend the Onsager-Casimir reciprocity\nrelations to the nonlinear response coefficients.\n