Diffusive propagation of wave packets in a fluctuating periodic potential
Mathematical Physics
2015-12-11 v3 math.MP
Abstract
We consider the evolution of a tight binding wave packet propagating in a fluctuating periodic potential. If the fluctuations stem from a stationary Markov process satisfying certain technical criteria, we show that the square amplitude of the wave packet after diffusive rescaling converges to a superposition of solutions of a heat equation.
Cite
@article{arxiv.1002.0599,
title = {Diffusive propagation of wave packets in a fluctuating periodic potential},
author = {Eman Hamza and Yang Kang and Jeffrey Schenker},
journal= {arXiv preprint arXiv:1002.0599},
year = {2015}
}
Comments
13 pages (v2: added a paragraph on the history of the problem, added some references, correct a few typos; v3 minor corrections, added keywords and subject classes)