From quantum master equation to random walk
Statistical Mechanics
2007-05-23 v2 Quantum Physics
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.
Keywords
Cite
@article{arxiv.cond-mat/0111026,
title = {From quantum master equation to random walk},
author = {C. F. Huang},
journal= {arXiv preprint arXiv:cond-mat/0111026},
year = {2007}
}
Comments
Replaced with improvements