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Modulational Instability in Bose–Einstein Condensates under Feshbach Resonance Management
Mathematics and Statistics Department Faculty Publication Series
  • Z Rapti
  • G Theocharis
  • PG Kevrekidis, University of Massachusetts - Amherst
Publication Date
We investigate the modulational instability of nonlinear Schrödinger 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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Citation Information
Z Rapti, G Theocharis and PG Kevrekidis. "Modulational Instability in Bose–Einstein Condensates under Feshbach Resonance Management" Vol. 2004 Iss. t107 (2004)
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