Modulational Instability in Bose-Einstein Condensates under Feshbach Resonance Management
Soft Condensed Matter
2009-11-10 v1
Abstract
We investigate the modulational instability of nonlinear Schr{\"o}dinger equations with periodic variation of their coefficients. In particular, we focus on the case of the recently proposed, experimentally realizable protocol of Feshbach Resonance Management for Bose-Einstein condensates. We derive the corresponding linear stability equation analytically and we show that it can be reduced to a Kronig-Penney model, which allows the determination of the windows of instability. The results are tested numerically in the absence, as well as in the presence of the magnetic trapping potential.
Keywords
Cite
@article{arxiv.cond-mat/0404664,
title = {Modulational Instability in Bose-Einstein Condensates under Feshbach Resonance Management},
author = {Z. Rapti and G. Theocharis and P. G. Kevrekidis and D. J. Frantzeskakis},
journal= {arXiv preprint arXiv:cond-mat/0404664},
year = {2009}
}