TY - JOUR
T1 - Modulational instability in Bose-Einstein condensates under feshbach resonance management
AU - Rapti, Z.
AU - Theocharis, G.
AU - Kevrekidis, P. G.
AU - Frantzeskakis, D. J.
AU - Malomed, B. A.
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=25444452521&partnerID=8YFLogxK
U2 - 10.1238/Physica.Topical.107a00027
DO - 10.1238/Physica.Topical.107a00027
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AN - SCOPUS:25444452521
SN - 0281-1847
VL - T107
SP - 27
EP - 31
JO - Physica Scripta
JF - Physica Scripta
T2 - International Topical Conference on Plasma Physics: Complex Plasmas in the New Millennium
Y2 - 8 September 2003 through 12 September 2003
ER -