Coupled-mode theory for Bose-Einstein condensates

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  • 13 October 1999
Abstract
We apply the concepts of the 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 atomic interactions, and confirm our results by direct numerical simulations.

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