Phys. Rev. A 76, 063609 (2007) [10 pages]Faraday waves in Bose-Einstein condensatesReceived 30 October 2007; published 12 December 2007 Motivated by recent experiments on Faraday waves in Bose-Einstein condensates we investigate both analytically and numerically the dynamics of cigar-shaped Bose-condensed gases subject to periodic modulation of the strength of the transverse confinement. We offer a fully analytical explanation of the observed parametric resonance, based on a Mathieu-type analysis of the non-polynomial Schrödinger equation. The theoretical prediction for the pattern periodicity versus the driving frequency is directly compared to the experimental data, yielding good qualitative and quantitative agreement between the two. These results are corroborated by direct numerical simulations of both the one-dimensional non-polynomial Schrödinger equation and of the fully three-dimensional Gross-Pitaevskii equation. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.063609
DOI:
10.1103/PhysRevA.76.063609
PACS:
03.75.Kk, 47.54.−r, 67.90.+z, 05.45.−a
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