Bending-wave instability of a vortex ring in a trapped Bose-Einstein condensate

被引：41

作者：

Horng, T. -L. ^{[1
]}

Gou, S. -C.

Lin, T. -C.

机构：

[1] Feng Chia Univ, Dept Appl Math, Taichung 40074, Taiwan

[2] Natl Changhua Univ Educ, Dept Phys, Changhua 50058, Taiwan

[3] Natl Taiwan Univ, Dept Math, Taipei 10617, Taiwan

来源：

PHYSICAL REVIEW A | 2006年 / 74卷 / 04期

关键词：

19;

D O I：

10.1103/PhysRevA.74.041603

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Using a velocity formula derived by matched asymptotic expansion, we study the dynamics of a vortex ring in an axisymmetric Bose-Einstein condensate in the Thomas-Fermi limit. The trajectory for an axisymmetrically placed and oriented vortex ring shows that it generally precesses in a condensate. The linear instability due to bending waves is investigated both numerically and analytically. General stability boundaries for various perturbed wave numbers are computed. Our analysis suggests that a slightly oblate trap is needed to prevent the vortex ring from becoming unstable.

引用

页数：4

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