Analysis of quantum semigroups with GKS-Lindblad generators I. Simple generators

Details Analysis of quantum semigroups with GKS-Lindblad generators I. Simple generators Analysis of quantum semigroups with GKS-Lindblad generators I. Simple generators

2007-10-29

arxiv.org/abs/0710.5385v2

J.Phys.A 41 (2008) 065201

Physics

Mathematical Physics

25 pages

Scientific paper

10.1088/1751-8113/41/6/065201

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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