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arXiv · 1506.08591

Dynamical Semigroups for Unbounded Repeated Perturbation of Open System

Hiroshi Tamura·Valentin Zagrebnov
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Abstract

We consider dynamical semigroups with unbounded Kossakowski-Lindblad-Davies generators which are related to evolution of an open system with a tuned repeated harmonic perturbation. Our main result is the proof of existence of uniquely determined minimal trace-preserving strongly continuous dynamical semigroups on the space of density matrices. The corresponding dual W *-dynamical system is shown to be unital quasi-free and completely positive automorphisms of the CCR-algebra. We also comment on the action of dynamical semigroups on quasi-free states.

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Hiroshi Tamura, Valentin Zagrebnov. 2015-06-29. Dynamical Semigroups for Unbounded Repeated Perturbation of Open System. https://doi.org/10.1063/1.4941940

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