Slowing down of vortex rings in Bose-Einstein condensates

Abstract

We consider vortex rings moving in a Bose--Einstein condensate. By numerically solving the Gross--Pitaevskii equation, we show that if the circular shape of the ring is perturbed by helical Kelvin waves of given amplitude and azimuthal wave number, the translational self-induced velocity of the vortex ring is reduced; at large amplitude, the vortex ring halts.