Coupled-mode theory for Bose-Einstein condensates

Preprint

22 October 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9910185

Abstract

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.

Keywords

BOSE EINSTEIN CONDENSATES
NUMERICAL SIMULATIONS
EINSTEIN CONDENSATE
COMPLEX AMPLITUDES
GUIDED WAVE
TRAPPED
COUPLED

All Related Versions

Version 1, 1999-10-13, ArXiv
Version 2, 1999-10-22, ArXiv
Published version: Physical Review A, 61 (3), 031601.

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