Fast noise in the Landau-Zener theory
Mesoscale and Nanoscale Physics
2009-11-07 v3
Abstract
We study the influence of a fast noise on Landau-Zener transitions. We demonstrate that a fast colored noise much weaker than the conventional white noise can produce transitions itself or can change substantially the Landau-Zener transition probabilities. In the limit of fast colored or strong white noise we derive asymptotically exact formulae for transition probabilities and study the time evolution of a spin coupled to the noise and a sweeping magnetic field.
Cite
@article{arxiv.cond-mat/0212016,
title = {Fast noise in the Landau-Zener theory},
author = {V. L. Pokrovsky and N. A. Sinitsyn},
journal= {arXiv preprint arXiv:cond-mat/0212016},
year = {2009}
}
Comments
28 pages, 5 figures