Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates

Understand

We consider the motion of individual two-dimensional vortices in general radially symmetric potentials in Bose-Einstein condensates.

• We find that although in the special case of the parabolic trap there is a logarithmic correction in the dependence of the precession frequency $\omega$ on the chemical potential $\mu$, this is no longer true for a general potential $V(r) \propto r^p$.
• Our calculations suggest that for $p>2$, the precession frequency scales with $\mu$ as $\omega \sim \mu^{-2/p}$.
• This theoretical prediction is corroborated by numerical computations, both at the level of spectral (Bogolyubov-de Gennes) stability analysis by identifying the relevant precession mode dependence on $\mu$, but also through direct numerical computations of the vortex evolution in the large $\mu$, so-called Thomas-Fermi, limit.