Avoiding Infrared Catastrophes in Trapped Bose-Einstein Condensates
Soft Condensed Matter
2009-11-10 v1
Abstract
This paper is concerned with the long wavelength instabilities (infrared catastrophes) occurring in Bose-Einstein condensates (BECs). We examine the modulational instability in ``cigar-shaped'' (1D) attractive BECs and the transverse instability of dark solitons in ``pancake'' (2D) repulsive BECs. We suggest mechanisms, and give explicit estimates, on how to ``engineer'' the trapping conditions of the condensate to avoid such instabilities: the main result being that a tight enough trapping potential suppresses the instabilities present in the homogeneous limit. We compare the obtained estimates with numerical results and we highlight the relevant regimes of dynamical behavior.
Cite
@article{arxiv.cond-mat/0405064,
title = {Avoiding Infrared Catastrophes in Trapped Bose-Einstein Condensates},
author = {P. G. Kevrekidis and G. Theocharis and D. J. Frantzeskakis and A. Trombettoni},
journal= {arXiv preprint arXiv:cond-mat/0405064},
year = {2009}
}