Coupled-mode theory for Bose-Einstein condensates
Elena A. OstrovskayaOptical Sciences Centre, Australian National University, Canberra ACT 0200, AustraliaYuri S. KivsharOptical Sciences Centre, Australian National University, Canberra ACT 0200, AustraliaM. LisakDepartment of Electromagnetics, Chalmers University of Technology, S-41296 Göteborg, SwedenBjörn HallDepartment of Electromagnetics, Chalmers University of Technology, S-41296 Göteborg, SwedenFederica CattaniDepartment of Electromagnetics, Chalmers University of Technology, S-41296 Göteborg, SwedenDan AndersonDepartment of Electromagnetics, Chalmers University of Technology, S-41296 Göteborg, Sweden
2000en
ABI
Аннотация
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 direct numerical solution of the Gross-Pitaevskii-equation.
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