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Journal Articles Journal of Mathematical Physics Year : 2016

Dynamical semigroup for unbounded repeated perturbation of an open system

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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Dates and versions

hal-01169335 , version 1 (29-06-2015)

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Hiroshi Tamura, Valentin A. Zagrebnov. Dynamical semigroup for unbounded repeated perturbation of an open system. Journal of Mathematical Physics, 2016, 57 (2), pp.023519-1-13. ⟨10.1063/1.4941940⟩. ⟨hal-01169335⟩
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