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math.AP2025
Dimensional reduction for anyons in the average-field approximation
Qiyun Yang
We study abelian anyons at the mean-field/almost-bosonic level, whose dynamics are governed by the Chern-Simons-Schrödinger system. We consider the dimensional reduction of this 2D…
math.AP2023
Dimensional reduction for a system of 2D anyons
Nicolas Rougerie, Qiyun Yang
Anyons with a statistical phase parameter are a kind of quasi-particles that, for topological reasons, only exist in a 1D or 2D world. We consider the dimensional reduc…
math.AP2023
Anyons in a tight wave-guide and the Tonks-Girardeau gas
Nicolas Rougerie, Qiyun Yang
We consider a many-body system of 2D anyons, free quantum particles with general statistics parameter α\in ]0,2[. In the magnetic gauge picture they are described as bosons attache…