Analytic vortex dynamics in an annular Bose-Einstein condensate

L. A. Toikka, K.-A. Suominen
2016 Physical Review A  
We consider analytically the dynamics of an arbitrary number and configuration of vortices in an annular Bose-Einstein condensate obtaining expressions for the free energy and vortex precession rates to logarithmic accuracy. We also obtain lower bounds for the lifetime of a single vortex in the annulus. Our results enable a closed-form analytic treatment of vortex-vortex interactions in the annulus that is exact in the incompressible limit. The incompressible hydrodynamics that is developed
more » ... paves the way for more general analytical treatments of vortex dynamics in non-simply connected geometries.
doi:10.1103/physreva.93.053613 fatcat:yozsygsz4bbvvcjs2g6dn4va3y