Quantum Fluctuation Relations for the Lindblad Master Equation
Statistical Mechanics
2015-06-03 v1 Mathematical Physics
math.MP
Abstract
An open quantum system interacting with its environment can be modeled under suitable assumptions as a Markov process, described by a Lindblad master equation. In this work, we derive a general set of fluctuation relations for systems governed by a Lindblad equation. These identities provide quantum versions of Jarzynski-Hatano-Sasa and Crooks relations. In the linear response regime, these fluctuation relations yield a fluctuation-dissipation theorem (FDT) valid for a stationary state arbitrarily far from equilibrium. For a closed system, this FDT reduces to the celebrated Callen-Welton-Kubo formula.
Cite
@article{arxiv.1112.1303,
title = {Quantum Fluctuation Relations for the Lindblad Master Equation},
author = {Raphael Chetrite and Kirone Mallick},
journal= {arXiv preprint arXiv:1112.1303},
year = {2015}
}