Bending-wave instability of a vortex ring in a trapped Bose-Einstein condensate
Tzyy‐Leng Horng, Shih-Chuan Gou, Tai‐Chia Lin
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.
arXiv:cond-mat/0604009•Physical Review A•Oct 18, 2006•48 citations