Abstract:Disorder induced localization in the presence of nonlinearity and curvature is investigated. The time-resolved three-dimensional expansion of a wave packet in a bent cigar shaped potential with a focusing Kerr-like interaction term and Gaussian disorder is numerically analyzed. A self-consistent analytical theory, in which randomness, nonlinearity and geometry are determined by a single scaling parameter, is reported, and it is shown that curvature enhances localization.
. [J]. 中国物理快报, 2014, 31(03): 30501-030501.
Claudio Conti. Linear and Nonlinear Anderson Localization in a Curved Potential. Chin. Phys. Lett., 2014, 31(03): 30501-030501.