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Open Quantum Systems Decoherence

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

arXiv
Authors: J. Z. Bernád, G. Homa, M. A. Csirik

Year

2017

Paper ID

25296

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • Quantum Brownian motion of a harmonic oscillator in the Markovian approximation is described by the respective Caldeira-Leggett master equation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1711.01642 [2] arXiv https://arxiv.org/abs/1711.01642 [3] Publisher https://arxiv.org/abs/1711.01642

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