Publication Date

2007

Journal or Book Title

PHYSICAL REVIEW A

Abstract

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.

Comments

This is the prepublished version harvested from ArXiv. The published version is located at http://pra.aps.org/abstract/PRA/v76/i6/e063609

Pages

-

Volume

76

Issue

6

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