2D attractive almost-bosonic anyon gases
Mathematical Physics
2024-09-04 v1 Quantum Gases
math.MP
Abstract
In two-dimensional space, we consider a system of anyons interacts via a short range attractive two-body interaction. In the stable regime, we derive the average-field Pauli functional as the mean-field limit of many-body quantum mechanics. Furthermore, we investigate the collapse phenomenon in the collapse regime where the strength of attractions tends to a critical value (defined by the cubic NLS equation) while simultaneously considering the weak field regime where the strength of the self-generated magnetic field tends to zero.
Cite
@article{arxiv.2409.00409,
title = {2D attractive almost-bosonic anyon gases},
author = {Dinh-Thi Nguyen},
journal= {arXiv preprint arXiv:2409.00409},
year = {2024}
}