Coupled-mode theory for Bose-Einstein condensates

Details Coupled-mode theory for Bose-Einstein condensates Coupled-mode theory for Bose-Einstein condensates

1999-10-13

arxiv.org/abs/cond-mat/9910185v2

Physics

Condensed Matter

4 pages, 5 figures; typos removed, figures amended; submitted to PRA

Scientific paper

10.1103/PhysRevA.61.031601

We apply the concepts of nonlinear guided-wave optics to a Bose-Einstein condensate (BEC) trapped in an external potential. As an example, we consider a parabolic double-well potential and derive coupled-mode equations for the complex amplitudes of the BEC macroscopic collective modes. Our equations describe different regimes of the condensate dynamics, including the nonlinear Josephson effect for any separation between the wells. We demonstrate macroscopic self-trapping for both repulsive and attractive interactions, and confirm our results by numerical simulations.

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