Vortex Lines Distribution in Inhomogeneous Lattices

TL;DR

This paper investigates how vortex lines distribute in a 3D lattice with varying couplings, revealing their expulsion from high-coupling regions and discussing implications for ultracold gases and neutron stars.

Contribution

It provides new insights into vortex line behavior in inhomogeneous lattices, including correlation functions and potential astrophysical and cold atom applications.

Findings

Vortex lines are expelled from regions with higher couplings.

Correlation functions of vortex distributions are characterized.

Implications for ultracold gases and neutron star physics are discussed.

Abstract

We study the distribution of vortex lines in a three-dimensional lattice with inhomogeneous couplings. We investigate the spatial distribution of the number of vortex lines, showing how the vortex lines are expelled from the region with higher couplings. Results for the correlation functions are presented, together with a discussion of the implications of the obtained results for the vortex distribution in ultracold trapped gases and in neutron stars.