Journal Article Dynamical semigroup for unbounded repeated perturbation of an open system

Tamura, Hiroshi  ,  Zagrebnov, Valentin A.

57 ( 2 )  , p.23519 , 2016-02-01 , AmAmerican Institute of Physics Inc.
We consider a dynamical semigroup for unbounded Kossakowski-Lindblad-Davies generator corresponding to evolution of an open system for a tuned repeated harmonic perturbation. For this evolution, we prove the existence of uniquely determined minimal trace-preserving strongly continuous dynamical semigroups on the space of states. The corresponding dual W*-dynamical system is shown to be unital quasi-free and completely positive automorphisms of the canonical commutation relation-algebra. © 2016 AIP Publishing LLC.

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