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

TL;DR

This paper investigates a novel method to determine the position diffusion coefficient in quantum Brownian motion by analyzing entropy production, offering a potentially more fundamental approach than traditional bounds or derivations.

Contribution

It introduces an entropy production-based approach to estimate the position diffusion coefficient in the Caldeira-Leggett master equation for quantum Brownian motion.

Findings

Entropy production analysis provides insights into the diffusion coefficient.

The method offers a theoretical basis for determining the coefficient.

Potential to refine existing bounds on the diffusion term.

Abstract

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 analyzing the entropy production of the master equation.