Quantum Semi-Markov Processes
Quantum Physics
2008-10-03 v1 Mathematical Physics
math.MP
Abstract
We construct a large class of non-Markovian master equations that describe the dynamics of open quantum systems featuring strong memory effects, which relies on a quantum generalization of the concept of classical semi-Markov processes. General conditions for the complete positivity of the corresponding quantum dynamical maps are formulated. The resulting non-Markovian quantum processes allow the treatment of a variety of physical systems, as is illustrated by means of various examples and applications, including quantum optical systems and models of quantum transport.
Cite
@article{arxiv.0809.1501,
title = {Quantum Semi-Markov Processes},
author = {Heinz-Peter Breuer and Bassano Vacchini},
journal= {arXiv preprint arXiv:0809.1501},
year = {2008}
}
Comments
4 pages, revtex, no figures, to appear in Phys. Rev. Lett