Analysis of quantum semigroups with GKS-Lindblad generators: II. General

Autor(en)

Bernhard Baumgartner, Heide Narnhofer

Abstrakt

Semigroups describing the time evolution of open quantum systems in finite-dimensional spaces have generators of a special form, known as Lindblad generators. These generators and the corresponding processes of time evolution are analyzed and characterized as decay, dissipation and dephasing. In relation to these processes the Hilbert space of the system is equipped with a special structure, a decomposition into a sum of mutually orthogonal subspaces. The complete set of all the stationary states and the asymptotic behavior of the evolutions are presented in detail. Some unusual special facts about invariant operators and symmetries are studied and examples are demonstrated. Perturbation theory for the structure and for the stationary states is discussed and performed in case studies.

Organisation(en)

Mathematische Physik

Journal

Journal of Physics A: Mathematical and Theoretical

Band

41

Anzahl der Seiten

26

ISSN

1751-8113

DOI

https://doi.org/10.1088/1751-8113/41/39/395303

Publikationsdatum

2008

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/08270a1f-4bf1-41b9-af19-3d82e7fd4e82