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arXiv:1111.3309 · Physical Review A

Matter-wave localization in a weakly perturbed optical lattice

Yongshan Cheng, Sadhan K. Adhikari

Published Nov 29, 2011• 21 citations
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Abstract

By numerical solution and variational approximation of the Gross-Pitaevskii equation, we studied the localization of a noninteracting and weakly interacting Bose-Einstein condensate in a weakly perturbed optical lattice in one and three dimensions. The perturbation achieved through a weak delocalizing expulsive or a linear potential as well as a weak localizing harmonic potential removes the periodicity of the optical lattice and leads to localization. We also studied some dynamics of the localized state confirming its stability.

DOI
10.1103/physreva.84.053634

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