paper

Quantum Semi-Markov Processes

arXiv:0809.1501 · 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.

4 pages, revtex, no figures, to appear in Phys. Rev. Lett

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