4 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…
Derivation of the Chern-Simons-Schrödinger equation from the dynamics of an almost-bosonic-anyon gas
Théotime Girardot, Jinyeop Lee
We study the time evolution of an initial product state in a system of almost-bosonic-extended-anyons in the large-particle limit. We show that the dynamics of this system can be w…
Derivation of the Hartree dynamics for a N-particles fermionic 2D system interacting via long-range electric and magnetic two-body singular potentials in a dilute regime
Théotime Girardot
We show that a 2-dimensional system of N fermions interacting through a pairwise electric and magnetic singular interactions with Slater initial data preserves its Slater structure…
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…