%0 Journal Article
%T Dynamical semigroup for unbounded repeated perturbation of an open system
%+ Graduate School of the Natural Science and Technology [Kanazawa]
%+ Institut de Mathématiques de Marseille (I2M)
%A Tamura, Hiroshi
%A Zagrebnov, Valentin A.
%Z H.T. thanks JSPS for the financial support under the Grant-in-Aid for Scientific Research (C) No. 24540168. V.A.Z. acknowledges the Institute of Science and Engineering and Graduate School of the Natural Science and Technology of Kanazawa University for financial support and hospitality.
%< avec comité de lecture
%@ 0022-2488
%J Journal of Mathematical Physics
%I American Institute of Physics (AIP)
%V 57
%N 2
%P 023519-1-13
%8 2016-02
%D 2016
%Z 1506.08591
%R 10.1063/1.4941940
%Z Mathematics [math]/Operator Algebras [math.OA]
%Z Mathematics [math]/Functional Analysis [math.FA]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-01169335/document
%2 https://hal.science/hal-01169335/file/DSv35.pdf
%L hal-01169335
%U https://hal.science/hal-01169335
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ TEST3-HALCNRS