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arXiv · 1106.5764

Dynamics of Vortex Dipoles in Confined Bose-Einstein Condensates

P. J. Torres·P. G. Kevrekidis·D. J. Frantzeskakis·R. Carretero-Gonzalez·P. Schmelcher·D. S. Hall
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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.

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P. J. Torres, P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-Gonzalez, P. Schmelcher, D. S. Hall. 2011-06-28. Dynamics of Vortex Dipoles in Confined Bose-Einstein Condensates. https://doi.org/10.1016/j.physleta.2011.06.061

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