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2D attractive almost-bosonic anyon gases
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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.
Forward citations
Cited by 2 Pith papers
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Derivation of the Chern-Simons-Schr\"odinger equation from the dynamics of an almost-bosonic-anyon gas
For small statistical parameter and radius (log N)^(-1/2+epsilon), k-particle density matrices of an almost-bosonic anyon gas converge to CSS-evolved product states.
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Average-field approximation for very dilute almost-bosonic anyon gases
For almost-bosonic anyon gases with smeared charges, the average-field approximation is rigorously justified for radii R=N^-eta for any eta>0 and even R=e^{-N^kappa}, 0<kappa<1.
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