Sufficient conditions for memory kernel master equation
Quantum Physics
2016-08-24 v2
Abstract
We derive sufficient conditions for the memory kernel which guarantee legitimate (completely positive and trace-preserving) dynamical map. It turns out that these conditions provide a natural parameterizations of the dynamical map being a generalization of Markovian semigroup. It is shown that this class of maps cover almost all known examples -- from Markovian semigroup, semi-Markov evolution up to collision models and their generalization.
Cite
@article{arxiv.1602.01642,
title = {Sufficient conditions for memory kernel master equation},
author = {Dariusz Chruściński and Andrzej Kossakowski},
journal= {arXiv preprint arXiv:1602.01642},
year = {2016}
}
Comments
5 pages; minor corrections