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arXiv · 0809.1501

Quantum Semi-Markov Processes

Heinz-Peter Breuer·Bassano Vacchini
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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.

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Heinz-Peter Breuer, Bassano Vacchini. 2008-09-09. Quantum Semi-Markov Processes. https://doi.org/10.1103/physrevlett.101.140402

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