Return to equilibrium for some quantum trajectories
Mathematical Physics
2010-04-21 v1 math.MP
Abstract
We consider the situation of a two-level quantum system undergoing a continuous indirect measurement, giving rise to so-called "quantum trajectories". We first describe these quantum trajectories in a physically realistic discrete-time setup and we then justify, by going to the continuous-time limit, the "stochastic Schr\"odinger equation" attached to this model. We prove return to equilibrium properties for these equations.
Cite
@article{arxiv.1004.3356,
title = {Return to equilibrium for some quantum trajectories},
author = {S Attal and C Pellegrini},
journal= {arXiv preprint arXiv:1004.3356},
year = {2010}
}
Comments
24 pages