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arXiv · 1008.4402

Non-Markovian Caldeira--Leggett quantum master equation

A. O. Bolivar
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Abstract

We obtain a non-Markovian quantum master equation directly from the quantization of a non-Markovian Fokker-Planck equation describing the Brownian motion of a particle immersed in a generic environment (e.g. a non-thermal fluid). As far as the especial case of a heat bath comprising of quantum harmonic oscillators is concerned, we derive a non-Markovian Caldeira-Leggett master equation on the basis of which we work out the concept of non-equilibrium quantum thermal force exerted by the harmonic heat bath upon the Brownian motion of free particle. The classical limit (or dequantization process) of this sort of non-equilibrium quantum effect is scrutinized, as well.

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A. O. Bolivar. 2010-08-25. Non-Markovian Caldeira--Leggett quantum master equation. https://doi.org/10.1016/j.aop.2011.02.007

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