Quantum Fokker-Planck models: the Lindblad and Wigner approaches
Mathematical Physics
2008-10-22 v2 Analysis of PDEs
math.MP
Abstract
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.
Cite
@article{arxiv.0806.2984,
title = {Quantum Fokker-Planck models: the Lindblad and Wigner approaches},
author = {Anton Arnold and Franco Fagnola and Lukas Neumann},
journal= {arXiv preprint arXiv:0806.2984},
year = {2008}
}
Comments
19 pages, corrected typos and quoted Theorem 6 more precisely