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From quantum master equation to random walk

C. F. Huang
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Abstract

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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C. F. Huang. 2002-09-22. From quantum master equation to random walk. https://arxiv.org/abs/cond-mat/0111026

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