Energy dissipation and fluctuation response in driven quantum Langevin dynamicsKeiji Saito
Graduate School of Science, University of Tokyo - 113-0033, Japan and CREST, Japan Science and Technology (JST) - Saitama, 332-0012, Japan
received 25 May 2008; accepted in final form 18 July 2008; published September 2008
published online 3 September 2008
Energy dissipation in a nonequilibrium steady state is studied in driven quantum Langevin systems. We study energy dissipation flow to thermal environment, and obtain a general formula for the average rate of energy dissipation using an autocorrelation function for the system variable. This leads to a general expression of the equality that connects the violation of the fluctuation-response relation to the rate of energy dissipation, the classical version of which was first studied by Harada and Sasa.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
05.30.-d - Quantum statistical mechanics.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.
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