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.
Quantum semi-Markov processes / H.P. Breuer, B. Vacchini. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 101:14(2008), pp. 140402.140402.1-140402.140402.4.
Quantum semi-Markov processes
B. VacchiniUltimo
2008
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.File | Dimensione | Formato | |
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