Vortex State Structure of a Bose Condensate in an Asymmetric Trap
Anatoly A. Svidzinsky, Alexander L. Fetter (Stanford)
TL;DR
This paper analytically investigates the structure of vortices in a Bose-Einstein condensate within an asymmetric trap, revealing anisotropic velocity fields and effects of trap rotation on the condensate's flow.
Contribution
It provides an analytic solution for vortex structures in asymmetric traps using the Gross-Pitaevskii equation in the Thomas-Fermi limit, highlighting anisotropic velocity fields.
Findings
Velocity field is cylindrically symmetric near the vortex core
Velocity becomes anisotropic near the condensate boundary
Trap rotation induces irrotational flow even without vortices
Abstract
Based on an analytic solution of the Gross-Pitaevskii equation in the large-condensate (Thomas-Fermi) limit we determine the structure of a stationary vortex in a Bose-Einstein condensate in a nonaxisymmetric rotating trap. The condensate velocity field has cylindrical symmetry only near the vortex core and becomes intrinsically anisotropic near the condensate boundaries. Rotating the anisotropic trap induces an additional irrotational velocity field even for a vortex-free condensate.
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