||Dynamical semigroup for unbounded repeated perturbation of an open system
Tamura, Hiroshi ,
Zagrebnov, Valentin A.
Journal of Mathematical Physics
, 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.