Generating vortex rings in Bose-Einstein condensates in the line-source approximation

Details Generating vortex rings in Bose-Einstein condensates in the line-source approximation Generating vortex rings in Bose-Einstein condensates in the line-source approximation

2002-02-19

arxiv.org/abs/cond-mat/0202312v1

Physics

Condensed Matter

Accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.65.053609

We present a numerical method for generating vortex rings in Bose-Einstein condensates confined in axially symmetric traps. The vortex ring is generated using the line-source approximation for the vorticity, i.e., the rotational of the superfluid velocity field is different from zero only on a circumference of given radius located on a plane perpendicular to the symmetry axis and coaxial with it. The particle density is obtained by solving a modified Gross-Pitaevskii equation that incorporates the effect of the velocity field. We discuss the appearance of density profiles, the vortex core structure and the vortex nucleation energy, i.e., the energy difference between vortical and ground-state configurations. This is used to present a qualitative description of the vortex dynamics.

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