Linear and nonlinear Anderson localization in a curved potential
arXiv:1305.3232 · doi:10.1088/0256-307X/31/3/030501
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.
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