Linear and nonlinear Anderson localization in a curved potential
Optics
2014-02-25 v1 Quantum Gases
Pattern Formation and Solitons
Abstract
We investigate disorder induced localization in the presence of nonlinearity and curvature. We numerically analyze the time-resolved three-dimensional expansion of a wave-packet in a bended cigar shaped potential with a focusing Kerr-like interaction term and Gaussian disorder. We report on a self-consistent analytical theory in which randomness, nonlinearity and geometry are determined by a single scaling parameter, and show that curvature enhances localization.
Cite
@article{arxiv.1305.3232,
title = {Linear and nonlinear Anderson localization in a curved potential},
author = {Claudio Conti},
journal= {arXiv preprint arXiv:1305.3232},
year = {2014}
}