Energy Dissipation and Fluctuation-Response in Driven Quantum Langevin Dynamics

TL;DR

This paper investigates energy dissipation and fluctuation-response relations in driven quantum Langevin systems, providing a general formula linking energy dissipation to fluctuation-response violations, influenced by system-reservoir coupling.

Contribution

It introduces a general formula for energy dissipation rate in quantum Langevin systems and connects fluctuation-response violations to dissipation, considering coupling effects.

Findings

Derived a general energy dissipation formula.

Established a relation between fluctuation-response violation and dissipation.

Highlighted the impact of system-reservoir coupling form.

Abstract

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. We also point out that the expression depends on coupling form between system and reservoir.