Excited Bose-Einstein condensates: Quadrupole oscillations and dark solitons

被引：0

作者：

Achilleos, V. A. ^{[2
]}

Horikis, T. P. ^{[3
]}

Theocharis, G. ^{[1
]}

Kevrekidis, P. G. ^{[1
]}

Frantzeskakis, D. J. ^{[2
]}

机构：

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

[2] Univ Athens, Dept Phys, Athens 15784, Greece

[3] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2012年 / 82卷 / 06期

关键词：

Bose Einstein condensates; Quadrupole oscillations; Dark solitons; Perturbation theory; COLLECTIVE EXCITATIONS; NOBEL LECTURE; WAVES; GAS;

D O I：

10.1016/j.matcom.2010.07.019

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We study the dynamics of atomic Bose Einstein condensates (BECs), when the quadrupole mode is excited. Within the Thomas Fermi approximation, we derive an exact first-order system of differential equations that describes the parameters of the BEC wave function. Using perturbation theory arguments, we derive explicit analytical expressions for the phase, density and width of the condensate. Furthermore, it is found that the observed oscillatory dynamics of the BEC density can even reach a quasi-resonance state when the trap strength varies according to a time-periodic driving term. Finally, the dynamics of a dark soliton on top of a breathing BEC are also briefly discussed. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.

引用

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页码：946 / 957

页数：12

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