Exploring Vortex Dynamics in the Presence of Dissipation: Analytical and Numerical Results
arXiv:1309.7943 · doi:10.1103/PhysRevA.89.043613
Abstract
In this paper, we systematically examine the stability and dynamics of vortices under the effect of a phenomenological dissipation used as a simplified model for the inclusion of the effect of finite temperatures in atomic Bose-Einstein condensates. An advantage of this simplified model is that it enables an analytical prediction that can be compared directly (and favorably) to numerical results. We then extend considerations to a case of considerable recent experimental interest, namely that of a vortex dipole and observe good agreement between theory and numerical computations in both the stability properties (eigenvalues of the vortex dipole stationary states) and the dynamical evolution of such configurations.
12 pages, 5 figures, accepted by PRA
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