4 papers
Ground-state selection via nonlinear quantum dissipation
Alireza Ataei, Olle Eriksson, Vahid Azimi Mousolou
Finding the ground state of complex quantum systems remains a central challenge in many-body physics, quantum chemistry, and combinatorial optimization, due to the exponential grow…
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…
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…