Dynamics of Vortex Dipoles in Confined Bose-Einstein Condensates
Quantum Gases
2012-05-11 v1 Pattern Formation and Solitons
Abstract
We present a systematic theoretical analysis of the motion of a pair of straight counter-rotating vortex lines within a trapped Bose-Einstein condensate. We introduce the dynamical equations of motion, identify the associated conserved quantities, and illustrate the integrability of the ensuing dynamics. The system possesses a stationary equilibrium as a special case in a class of exact solutions that consist of rotating guiding-center equilibria about which the vortex lines execute periodic motion; thus, the generic two-vortex motion can be classified as quasi-periodic. We conclude with an analysis of the linear and nonlinear stability of these stationary and rotating equilibria.
Keywords
Cite
@article{arxiv.1106.5764,
title = {Dynamics of Vortex Dipoles in Confined Bose-Einstein Condensates},
author = {P. J. Torres and P. G. Kevrekidis and D. J. Frantzeskakis and R. Carretero-Gonzalez and P. Schmelcher and D. S. Hall},
journal= {arXiv preprint arXiv:1106.5764},
year = {2012}
}
Comments
8 pages, 3 figures, to appear in Phys. Lett. A