Dynamical Semigroups for Unbounded Repeated Perturbation of Open System
Operator Algebras
2016-03-23 v1 Functional Analysis
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.
Cite
@article{arxiv.1506.08591,
title = {Dynamical Semigroups for Unbounded Repeated Perturbation of Open System},
author = {Hiroshi Tamura and Valentin Zagrebnov},
journal= {arXiv preprint arXiv:1506.08591},
year = {2016}
}