5 papers
Nonlinear Landau levels in the almost-bosonic anyon gas
Alireza Ataei, Ask Ellingsen, Filippa Getzner +3
We consider the quantitative description of a many-particle gas of interacting abelian anyons in the plane, confined in a trapping potential. If the anyons are modeled as bosons wi…
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…
Microscopic derivation of the stationary Chern-Simons-Schrödinger equation for almost-bosonic anyons
Alireza Ataei, Douglas Lundholm, Théotime Girardot
In this work we consider the -body Hamiltonian describing the microscopic structure of a quantum gas of almost-bosonic anyons. This description includes both extended magnetic f…
A generalized Liouville equation and magnetic stability
Alireza Ataei, Douglas Lundholm, Dinh-Thi Nguyen
This work considers two related families of nonlinear and nonlocal problems in the plane . The first main result derives the general integrable solution to a generali…
2D magnetic stability
Douglas Lundholm
This article is a contribution to the proceedings of the 33rd/35th International Colloquium on Group Theoretical Methods in Physics (ICGTMP, Group33/35) held in Cotonou, Benin, Jul…