2D attractive almost-bosonic anyon gases

TL;DR

This paper studies a 2D system of attractive anyons, deriving a mean-field functional and analyzing collapse phenomena near critical attraction strength, contributing to understanding of quantum gases with anyonic statistics.

Contribution

It introduces a mean-field Pauli functional for attractive anyon gases and analyzes collapse behavior near critical interaction strength.

Findings

Derived the average-field Pauli functional for attractive anyons.

Analyzed collapse phenomena at critical attraction strength.

Explored the weak magnetic field regime.

Abstract

In two-dimensional space, we consider a system of $N$ 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.