Dynamics of vortex dipoles in confined Bose-Einstein condensates

作者：Torres P J; Kevrekidis P G^*; Frantzeskakis D J; Carretero Gonzalez R; Schmelcher P; Hall D S

来源：Physics Letters A, 2011, 375(33): 3044-3050.

DOI：10.1016/j.physleta.2011.06.061

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.

• 出版日期2011-8-1