Determining the interspecies interaction strength of a two-species Bose-Einstein condensate from the density profile of one species

P. Kuopanportti; Y. M. Liu; Y. Z. He; C. G. Bao

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arXiv · 1804.11156

Determining the interspecies interaction strength of a two-species Bose-Einstein condensate from the density profile of one species

P. Kuopanportti·Y. M. Liu·Y. Z. He·C. G. Bao

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Abstract

We study harmonically trapped two-species Bose-Einstein condensates within the Gross-Pitaevskii formalism. By invoking the Thomas-Fermi approximation, we derive an analytical solution for the miscible ground state in a particular region of the system's parameter space. This solution furnishes a simple formula for determining the relative strength of the interspecies interaction from a measurement of the density distribution of only one of the two species. Accompanying numerical simulations confirm its accuracy for sufficiently large numbers of condensed particles. The introduced formula provides a condensate-based scheme that complements the typical experimental methods of evaluating interspecies scattering lengths from collisional measurements on thermal samples.

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P. Kuopanportti, Y. M. Liu, Y. Z. He, C. G. Bao. 2018-04-30. Determining the interspecies interaction strength of a two-species Bose-Einstein condensate from the density profile of one species. https://arxiv.org/abs/1804.11156

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