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Open Quantum Systems Decoherence

Relaxation dynamics of a quantum Brownian particle in an ideal gas

arXiv
Authors: Bassano Vacchini, Klaus Hornberger

Year

2007

Paper ID

49811

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

We show how the quantum analog of the Fokker-Planck equation for describing Brownian motion can be obtained as the diffusive limit of the quantum linear Boltzmann equation. The latter describes the quantum dynamics of a tracer particle in a dilute, ideal gas by means of a translation-covariant master equation. We discuss the type of approximations required to obtain the generalized form of the Caldeira-Leggett master equation, along with their physical justification. Microscopic expressions for the diffusion and relaxation coefficients are obtained by analyzing the limiting form of the equation in both the Schroedinger and the Heisenberg picture.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • We show how the quantum analog of the Fokker-Planck equation for describing Brownian motion can be obtained as the diffusive limit of the quantum linear Boltzmann equation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0706.4433 [2] arXiv https://arxiv.org/abs/0706.4433 [3] Publisher https://arxiv.org/abs/0706.4433

Local Citation Graph (Related-Paper Links)

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