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.
Quantum de Finetti theorems under local measurements with applications,
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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.