2024/08/31 by Nguyen, Dinh-Thi
#35P15 #46N50 #81Q10 #81V70 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas)
paper · doi:10.48550/arxiv.2409.00409
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.