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arXiv · 1305.3232

Linear and nonlinear Anderson localization in a curved potential

Claudio Conti
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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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Claudio Conti. 2013-05-13. Linear and nonlinear Anderson localization in a curved potential. https://doi.org/10.1088/0256-307x%2F31%2F3%2F030501

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