Coupled-mode theory for Bose-Einstein condensates
Condensed Matter
2009-10-31 v2
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.
Cite
@article{arxiv.cond-mat/9910185,
title = {Coupled-mode theory for Bose-Einstein condensates},
author = {Elena A. Ostrovskaya and Yuri S. Kivshar and Mietek Lisak and Bjorn Hall and Federica Cattani and Dan Anderson},
journal= {arXiv preprint arXiv:cond-mat/9910185},
year = {2009}
}
Comments
4 pages, 5 figures; typos removed, figures amended; submitted to PRA