Inertial and fluctuational effects on the motion of a Bose superfluid vortex

TL;DR

This paper investigates how inertial and fluctuational forces affect the dynamics of a vortex in a 2D trapped Bose-Einstein condensate, highlighting the significant role of vortex mass on escape times.

Contribution

It introduces a modified Hall-Vinen-Iordanskii model incorporating fluctuational forces and vortex mass, analyzing their impact on vortex motion in Bose condensates.

Findings

Vortex mass significantly influences escape time from the trap.

Escape time depends on trap size due to vortex mass variation.

Inertial and fluctuational effects alter vortex dynamics in Bose gases.

Abstract

We study the motion of a vortex under the influence of a harmonic force in an approximately two dimensional trapped Bose-condensed gas. The Hall-Vinen-Iordanskii equations, modified to include a fluctuational force and an inertial mass term, are solved for the vortex motion. The mass of the vortex has a strong influence on the time it takes the vortex to escape the trap. Since the vortex mass also depends on the trap size we have an additional dependence on the trap size in the escape time which we compare to the massless case.