Matter-wave localization in a weakly perturbed optical lattice

Details Matter-wave localization in a weakly perturbed optical lattice Matter-wave localization in a weakly perturbed optical lattice

2011-11-14

arxiv.org/abs/1111.3309v1

Phys. Rev. A 84 (2011) 053634

Physics

Condensed Matter

Quantum Gases

Scientific paper

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.

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