Phase Space Representation for Open Quantum Systems within the Lindblad Theory
Quantum Physics
2008-11-26 v1
Abstract
The Lindblad master equation for an open quantum system with a Hamiltonian containing an arbitrary potential is written as an equation for the Wigner distribution function in the phase space representation. The time derivative of this function is given by a sum of three parts: the classical one, the quantum corrections and the contribution due to the opening of the system. In the particular case of a harmonic oscillator, quantum corrections do not exist.
Cite
@article{arxiv.quant-ph/9605041,
title = {Phase Space Representation for Open Quantum Systems within the Lindblad Theory},
author = {A. Isar and A. Sandulescu and W. Scheid},
journal= {arXiv preprint arXiv:quant-ph/9605041},
year = {2008}
}
Comments
19 pages, Latex, accepted for publication in Int. J. Mod. Phys. B