Analysis of quantum semigroups with GKS-Lindblad generators I. Simple generators
Mathematical Physics
2008-06-20 v2 math.MP
Quantum Physics
Abstract
Semigroups describing the time evolution of open quantum systems in finite dimensional spaces have generators of a special form, known as Lindblad generators. The simple generators, characterized by only one operator, are analyzed. The complete set of all the stationary states is presented in detail, including a formula to calculate a stationary state from the generating operator. Also the opposite task can be fulfilled, to construct an evolution leading to a prescribed stationary state.
Cite
@article{arxiv.0710.5385,
title = {Analysis of quantum semigroups with GKS-Lindblad generators I. Simple generators},
author = {Bernhard Baumgartner and Heide Narnhofer and Walter Thirring},
journal= {arXiv preprint arXiv:0710.5385},
year = {2008}
}
Comments
25 pages