Vortex patterns in the almost-bosonic anyon gas
Quantum Gases
2024-12-20 v2 Numerical Analysis
Mathematical Physics
Analysis of PDEs
math.MP
Numerical Analysis
Quantum Physics
Abstract
We study theoretically and numerically the ground state of a gas of 2D abelian anyons in an external trapping potential. We treat anyon statistics in the magnetic gauge picture, perturbatively around the bosonic end. This leads to a mean-field energy functional, whose ground state displays vortex lattices similar to those found in rotating Bose-Einstein condensates. A crucial difference is however that the vortex density is proportional to the underlying matter density of the gas.
Cite
@article{arxiv.1901.10739,
title = {Vortex patterns in the almost-bosonic anyon gas},
author = {Michele Correggi and Romain Duboscq and Douglas Lundholm and Nicolas Rougerie},
journal= {arXiv preprint arXiv:1901.10739},
year = {2024}
}