Vortex flux and Berry phase in a Bose-Einstein condensate confined in a toroidal trap

TL;DR

This paper investigates vortex flux and Berry phase in a Bose-Einstein condensate within a rotating toroidal trap, revealing how external rotation can cancel vortex flux and linking Berry's phase directly to vortex flux.

Contribution

It demonstrates the control of vortex flux via external rotation and establishes a direct relation between Berry's phase and vortex flux in a BEC system.

Findings

External rotation can cancel vortex flux in a BEC.

Berry's phase is directly related to vortex flux.

Vortex behavior analogous to the Meissner effect.

Abstract

We study a system of large number of singly quantized vortices in a BEC confined in a rotating toroidal geometry. Analogous to the Meissner effect in supercomputers, we show that the external rotational field can be tuned to can cancel the Magnus field, resulting in a zero vortex flux. We also show that the Berry's phase for this system is directly related to the vortex flux.