Quantum Fokker-Planck models: the Lindblad and Wigner approaches

Physics – Mathematical Physics

Scientific paper

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19 pages, corrected typos and quoted Theorem 6 more precisely

Scientific paper

In this article we try to bridge the gap between the quantum dynamical
semigroup and Wigner function approaches to quantum open systems. In particular
we study stationary states and the long time asymptotics for the quantum
Fokker-Planck equation. Our new results apply to open quantum systems in a
harmonic confinement potential, perturbed by a (large) sub-quadratic term.

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