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Linear and Nonlinear Anderson Localization in a Curved Potential |
| Claudio Conti** |
Department of Physics, University Sapienza, Piazzale Aldo Moro 5, Rome 00185, Italy
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Claudio Conti 2014 Chin. Phys. Lett. 31 030501 |
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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.
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Received: 04 November 2013
Published: 28 February 2014
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[12] Carretero-Gonzalez R, Frantzeskakis D J and Kevrekidis P G 2008 Nonlinearity 21 R139 |
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