Vortex dipole in a trapped two-dimensional Bose-Einstein condensate

A vortex dipole in a trapped two-dimensional Bose-Einstein condensate

We study the conservative dynamics and stationary configurations of a vortex-antivortex pair in a harmonically trapped two-dimensional Bose-Einstein condensate. We establish the conceptual framework for understanding the stationary states and the topological defect trajectories, through considerations of different mechanisms of vortex motion and the bifurcation of soliton-like stationary soluti...

Vortex motion in trapped Bose–Einstein condensate

We have studied the motion of a vortex-antivortex pair together with a single vortex in trapped Bose-Einstein condensate (BEC) by numerically solving the twodimensional Gross-Pitaevskii equation, and found that the path of the vortices depends on the initial separation distance and dissipation. This motion was periodic and it was found that sound waves appear due to the cyclical movement, whose...

Variational approach for the two-dimensional trapped Bose Einstein condensate

Vortex knots in a Bose-Einstein condensate.

We present a method for numerically building a vortex knot state in the superfluid wave function of a Bose-Einstein condensate. We integrate in time the governing Gross-Pitaevskii equation to determine evolution and shape preservation of the two (topologically) simplest vortex knots which can be wrapped over a torus. We find that the velocity of a vortex knot depends on the ratio of poloidal an...

The Two-Dimensional Bose-Einstein Condensate

We study the Hartree-Fock-Bogoliubov mean-field theory as applied to a two-dimensional finite trapped Bose gas at low temperatures and find that, in the Hartree-Fock approximation, the system can be described either with or without the presence of a condensate; this is true in the thermodynamic limit as well. We are unable to find condensate solutions when we consider a scheme that predicts the...