Dissipative motion of vortices in spatially inhomogeneous Bose–Einstein condensates
B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine 47 Nauky Ave., Kharkiv 61103, Ukraine
Received June 26, 2018, published online November 26, 2018
The problem of dissipative vortex motion in frame of 2D Gross–Pitaevskii equation is considered. Using the method of matched asymptotic expansion we construct the system of ordinary differential equations describing the vortex dynamics in the rotating Bose–Einstein condensate. The model takes into account the influence of different outer factors, such as magnetic trap frequencies, number of atoms in the condensate, angular velocity, dissipation parameter and others. In special cases of non-dissipative motion the results are consistent with known results of other authors. Addition of dissipation generalizes the known equations and allows to see the motion of the vortices to equilibrium points and determine equilibrium configuration of any number of vortices. А large number of examples illustrates the model.
Key words: Bose–Einstein condensate, quantized vortices, vortex lattice, dissipative motion, vortex equilibrium configuration.