Local Density Approximation for Almost-Bosonic Anyons
Mathematical Physics
2018-11-20 v2 Mesoscale and Nanoscale Physics
Quantum Gases
Analysis of PDEs
math.MP
Abstract
We discuss the average-field approximation for a trapped gas of non-interacting anyons in the quasi-bosonic regime. In the homogeneous case, i.e., for a confinement to a bounded region, we prove that the energy in the regime of large statistics parameter, i.e., for "less-bosonic" anyons, is independent of boundary conditions and of the shape of the domain. When a non-trivial trapping potential is present, we derive a local density approximation in terms of a Thomas-Fermi-like model.
Cite
@article{arxiv.1705.03203,
title = {Local Density Approximation for Almost-Bosonic Anyons},
author = {M. Correggi and D. Lundholm and N. Rougerie},
journal= {arXiv preprint arXiv:1705.03203},
year = {2018}
}
Comments
Contribution to the proceedings of QMath13: Mathematical Results in Quantum Physics, 8-11 October 2016, Atlanta, US