Vortex nucleation in finite Bose-Einstein condensates through edge states

Sankalpa Ghosh

Physics Department, TECHNION Israel Institute of Technology, Haifa 32000, Israel

We study the vortex nucleation in a finite Bose-Einstein condensate. Using a set of non-local and chiral boundary conditions to solve the Schrödinger equation of non-interacting bosons in a rotating trap, we obtain a quantitative expression for the characteristic angular velocity for vortex nucleation in a condensate which is found to be 35% of the transverse harmonic trapping frequency. We also calculate the nucleation frequency of successive vortices within our approach and discuss the associated change in the condensate size.