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arXiv · 1006.4277

Spatially-antisymmetric localization of matter wave in a bichromatic optical lattice

Y. Cheng·S. K. Adhikari
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Abstract

By direct numerical simulation of the time-dependent Gross-Pitaevskii equation using the split-step Fourier spectral method we study the double-humped localization of a cigar-shaped Bose-Einstein condensate (BEC) in a one-dimensional bichromatic quasi-periodic optical-lattice potential, as used in a recent experiment on the localization of a BEC [Roati et al., Nature 453, 895 (2008)]. Such states are spatially antisymmetric and are excited modes of Anderson localization. Where possible, we have compared the numerical results with a variational analysis. We also demonstrate the stability of the localized double-humped BEC states under small perturbation.

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Y. Cheng, S. K. Adhikari. 2010-06-22. Spatially-antisymmetric localization of matter wave in a bichromatic optical lattice. https://doi.org/10.1002/lapl.201010063

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