An entropy production based method for determining the position diffusion's coefficient of a quantum Brownian motion

J. Z. Bernád, G. Homa, M. A. Csirik

Published 2017-11-05Version 1

Quantum Brownian motion of a harmonic oscillator in the Markovian approximation is described by the respective Caldeira-Leggett master equation. This master equation can be brought into Lindblad form by adding a position diffusion term to it. The coefficient of this term is either customarily taken to be the lower bound dictated by the Dekker inequality or determined by more detailed derivations on the linearly damped quantum harmonic oscillator. In this paper, we explore the theoretical possibilities of determining the position diffusion term's coefficient by analysing the entropy production of the master equation. It is shown that the obtained value has a linear dependence on the temperature, which is in marked contrast to previous studies.