07-257 Bernhard Baumgartner, Heide Narnhofer, Walter Thirring

Analysis of quantum semigroups with GKS-Lindblad generators I. Simple generators (67K, LaTeX) 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.

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