15 citations · 31 across the 10 of their papers we have counts for
10 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 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…
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…
The free energy of dilute Bose gases at low temperatures interacting via strong potentials
S. Fournais, L. Junge, T. Girardot +3
We consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee-Huang-Yang…
Lower bounds on the energy of the Bose gas
Søren Fournais, Theotime Girardot, Lukas Junge +2
We present an overview of the approach to establish a lower bound to the ground state energy for the dilute, interacting Bose gas in a periodic box. In this paper the size of the b…
A Lieb-Thirring inequality for extended anyons
Théotime Girardot, Nicolas Rougerie
We derive a Pauli exclusion principle for extended fermion-based anyons of any positive radius and any non-trivial statistics parameter. That is, we consider 2D fermionic particles…
The Ground State Energy of a Two-Dimensional Bose Gas
S. Fournais, T. Girardot, L. Junge +2
We prove the following formula for the ground state energy density of a dilute Bose gas with density in dimensions in the thermodynamic limit \begin{align*} e^{\rm{2D}}(ρ)…
Semiclassical limit for almost fermionic anyons
Théotime Girardot, Nicolas Rougerie
In two-dimensional space there are possibilities for quantum statistics continuously interpolating between the bosonic and the fermionic one. Quasi-particles obeying such statistic…
Average Field Approximation for Almost Bosonic Anyons in a Magnetic Field
Théotime Girardot
We study the ground state of a large number N of 2D anyons in an external magnetic field. We consider a scaling limit where the statistics parameter tends to zero when N tends…