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math.AP2025
theory limit of a many-body bosonic free energy
Lucas Jougla, Nicolas Rougerie
We consider the quantum Gibbs state of an interacting Bose gas on the 2D torus. We set temperature, chemical potential and coupling constant in a regime where classical field theor…
math.AP2025
The 2D Chern-Simons-Schr{ö}dinger system reduced to 1D
Nicolas Rougerie, Qiyun Yang
We study a mean-field model for a system of 2D abelian anyons, given by the dynamics of a Schr{ö}dinger matter field coupled to a Chern-Simons gauge field. We derive an effective 1…
math.AP2025
Magnetic Thomas-Fermi theory for 2D abelian anyons
Antoine Levitt, Douglas Lundholm, Nicolas Rougerie
Two-dimensional abelian anyons are, in the magnetic gauge picture, represented as fermions coupled to magnetic flux tubes. For the ground state of such a system in a trapping poten…