- 07-257 Bernhard Baumgartner, Heide Narnhofer, Walter Thirring
- Analysis of quantum semigroups with GKS-Lindblad generators I. Simple generators
Oct 30, 07
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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.