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Motion of vortices in inhomogeneous Bose-Einstein condensates

Motion of vortices in inhomogeneous Bose-Einstein condensates

We derive a general and exact equation of motion for a quantized vortex in an inhomogeneous two-dimensional Bose-Einstein condensate. This equation expresses the velocity of a vortex as a sum of local ambient density and phase gradients in the vicinity of the vortex. We perform Gross-Pitaevskii simulations of single-vortex dynamics …