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