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Phys Rev Lett. 2008 Oct 03;101(14):140402. doi: 10.1103/PhysRevLett.101.140402. Epub 2008 Oct 02.

Quantum semi-Markov processes.

Physical review letters

Heinz-Peter Breuer, Bassano Vacchini

Affiliations

  1. Physikalisches Institut, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany.

PMID: 18851508 DOI: 10.1103/PhysRevLett.101.140402

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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