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

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

2010-06-22

arxiv.org/abs/1006.4277v1

Laser Phys. Lett. 7 (2010) 824-830

Physics

Condensed Matter

Quantum Gases

Scientific paper

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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