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Dark soliton in quasi-one-dimensional Bose-Einstein condensates with a Gaussian trap

In this paper we study dark solitons in quasi-one-dimensional Bose-Einstein condensates (BECs) in presence of an anharmonic external potential. The theoretical model is based on the Muñoz-Mateo and Delgado (MMD) equation that describes cigar-shaped BECs with repulsive interatomic interactions. Since MMD equation presents a nonpolynomial form, the soliton-sound recombination cannot display the same pattern presented in the cubic model. We perform numerical simulations to compare both cases.

preprint2013arXivOpen access
H. L. C. CoutoW. B. Cardoso
nlin.PScond-mat.quant-gasquant-ph
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H. L. C. CoutoW. B. Cardoso

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