Vortex lattices in the lowest Landau level for confined Bose-Einstein condensates

TL;DR

This paper investigates the groundstates of large vortex lattices in confined Bose-Einstein condensates, showing they resemble triangular lattices with significant effects on particle distribution.

Contribution

It provides numerical evidence that vortex lattices in BECs are close to triangular arrangements and links lattice deviations to changes in particle density profiles.

Findings

Vortex lattices approximate uniform triangular patterns.

Deviations from perfect lattices affect particle distribution.

Particle distribution follows a Thomas-Fermi profile at large scales.

Abstract

We present the results of numerical calculations of the groundstates of weakly-interacting Bose-Einstein condensates containing large numbers of vortices. Our calculations show that these groundstates appear to be close to uniform triangular vortex lattices. However, slight deviations from a uniform triangular lattice have dramatic consequences on the overall particle distribution. In particular, we demonstrate that the overall particle distribution averaged on a lengthscale large compared to the vortex lattice constant is well approximated by a Thomas-Fermi profile.