Phys. Rev. Lett. 101, 140402 (2008) [4 pages]Quantum Semi-Markov ProcessesReceived 8 July 2008; published 2 October 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.140402
DOI:
10.1103/PhysRevLett.101.140402
PACS:
03.65.Yz, 02.50.Ga, 03.65.Ta, 42.50.Lc
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