Faraday waves in Bose-Einstein condensates

被引：69

作者：

Nicolin, Alexandru I. ^{[1
]}

Carretero-Gonzalez, R. ^{[2
]}

Kevrekidis, P. G. ^{[3
]}

机构：

[1] Niels Bohr Inst, DK-2100 Copenhagen, Denmark

[2] San Diego State Univ, Dept Math & Stat, Nonlinear Dynam Syst Grp, San Diego, CA 92182 USA

[3] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

来源：

PHYSICAL REVIEW A | 2007年 / 76卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.76.063609

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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 Schrodinger 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 Schrodinger equation and of the fully three-dimensional Gross-Pitaevskii equation.

引用

页数：10

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