Effect of non-local interactions on the vortex solution in Bose-Einstein Condensates

TL;DR

This paper investigates how non-local interactions affect vortex solutions in Bose-Einstein Condensates, revealing the existence of a microscopic vortex core independent of the healing length, which could be observable under certain conditions.

Contribution

It introduces a new vortex solution with a core size on the order of the scattering length, expanding understanding of vortex structures in BECs with non-local interactions.

Findings

Existence of a vortex with core width at the scattering length scale.

Comparison between traditional and microscopic vortex solutions.

Identification of conditions for observing the microscopic vortex.

Abstract

We consider the Gross-Pitaevskii (GP) model of a Bose-Einstein Condensate (BEC) to study a single vortex line in the presence of non-local repulsive s-wave scattering. We show that in addition to the vortex solution with core width of the order of the healing length, there exists a vortex solution whose width is a microscopic length scale of the order of s-wave scattering length and is independent of the healing length. We compare the two classes of vortex solution and show the region where one can possibly observe the vortex whose width is of the order of scattering length.