Modulational Instability in Bose-Einstein Condensates under Feshbach Resonance Management

Details Modulational Instability in Bose-Einstein Condensates under Feshbach Resonance Management Modulational Instability in Bose-Einstein Condensates under Feshbach Resonance Management

2004-04-28

arxiv.org/abs/cond-mat/0404664v1

Physica Scripta Vol. T 107, 27, 2004

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1238/Physica.Topical.107a0002

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.

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