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Quantum Fokker-Planck models: the Lindblad and Wigner approaches. (English) Zbl 1180.81089

García, Julio César (ed.) et al., Quantum probability and related topics. Proceedings of the 28th conference, CIMAT-Guanajuato, Mexico, 2–8 September 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-526-0/hbk). QP-PQ: Quantum Probability and White Noise Analysis 23, 23-48 (2008).
The authors try to bridge the gap between the quantum dynamical semigroup and Wigner function approaches to quantum open systems. In particular the authors study stationary states and the long time asymptotic for the quantum Fokker-Planck equation. The new results apply to open quantum system in a harmonic confinement potential perturbed by a (large) sub-quadratic term.
For the entire collection see [Zbl 1165.81004].

MSC:

81S25 Quantum stochastic calculus
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