Two-species Bose-Einstein condensate in an optical lattice: analytical approximate formul\ae

R. Cipolatti; L. Villegas-Lelovsky; M. C. Chung; C. Trallero-Giner

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arXiv · 1508.04341

Two-species Bose-Einstein condensate in an optical lattice: analytical approximate formul\ae

R. Cipolatti·L. Villegas-Lelovsky·M. C. Chung·C. Trallero-Giner

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Abstract

Employing a general variational method and perturbation theory, we derived explicit solutions for the description of one-dimensional two species Bose-Einstein condensates confined by a harmonic trap potential in an optical lattice. We consider the system of two coupled Gross-Pitaevkii equations (GPE) and derive explicit expressions for the chemical potentials and wavefunctions in terms of the atom-atom interaction parameters and laser intensity. We have compared our results with the numerical solutions of the GPE and performed a quantitative analysis for the both considered methods. We underline the importance of the obtained explicit solutions to characterize the density profile or degree of miscibility of the two components.

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R. Cipolatti, L. Villegas-Lelovsky, M. C. Chung, C. Trallero-Giner. 2015-08-18. Two-species Bose-Einstein condensate in an optical lattice: analytical approximate formul\ae. https://arxiv.org/abs/1508.04341

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