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

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.

13 pages, 10 figures

References in corpus (3)

• Exact analytical solutions to the master equation of quantum Brownian motion for a general environment
• Quest for quantum superpositions of a mirror: high and moderately low temperatures
• Quantum Brownian motion at strong dissipation probed by superconducting tunnel junctions

Cited by in corpus (5)

• Positivity violations of the density operator in the Caldeira-Leggett master equation
• Range of applicability of the Hu-Paz-Zhang master equation
• Analytical evaluation of the coefficients of the Hu-Paz-Zhang master equation: Ohmic spectral density, zero temperature, and consistency check
• Newton's identities and positivity of trace class integral operators
• An exact Markovian decoherence dynamics of two interacting harmonic oscillators coupled to a bosonic heat bath