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.
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - 2006 Oct 25|
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics