Diffusive behavior from a quantum master equation

Details Diffusive behavior from a quantum master equation Diffusive behavior from a quantum master equation

2008-12-15

arxiv.org/abs/0812.2858v4

J. Math. Phys. 52, 083303 (2011)

Physics

Mathematical Physics

21 pages. Minor corrections of previous version

Scientific paper

We study a general class of translation invariant quantum Markov evolutions for a particle on $\bbZ^d$. The evolution consists of free flow, interrupted by scattering events. We assume spatial locality of the scattering events and exponentially fast relaxation of the momentum distribution. It is shown that the particle position diffuses in the long time limit. This generalizes standard results about central limit theorems for classical (non-quantum) Markov processes.

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