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arXiv · 1602.01642

Sufficient conditions for memory kernel master equation

Dariusz Chruściński·Andrzej Kossakowski
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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.

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Dariusz Chruściński, Andrzej Kossakowski. 2016-02-04. Sufficient conditions for memory kernel master equation. https://doi.org/10.1103/physreva.94.020103

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