From quantum master equation to random walk

Details From quantum master equation to random walk From quantum master equation to random walk

2001-11-02

arxiv.org/abs/cond-mat/0111026v2

Physics

Condensed Matter

Statistical Mechanics

Replaced with improvements

Scientific paper

It is shown in this paper that the quantum master equation can be mapped to a modified continuous time random walk (CTRW) if the relaxation term is composed of transitions over a set of states. When the Hamiltonian is time-independent and transitions are between its eigenlevels, such a modified CTRW reduces to the Markovian walk equivalent to the Pauli master equation. On the other hand, the memory in such a modified CTRW is composed of a temporal factor and the probability determined by the Liouville flow when the relaxation term is reduced as a special dephasing term.

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