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arXiv · 2409.00409

2D attractive almost-bosonic anyon gases

Dinh-Thi Nguyen
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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.

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Dinh-Thi Nguyen. 2024-08-31. 2D attractive almost-bosonic anyon gases. https://arxiv.org/abs/2409.00409

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