QLunch: Alireza Ataei

Speaker: Alireza Ataei, Uppsala University

Title: Effective model of the many body almost-bosonic anyons

Abstract: In this talk, I will present the average energy functional theory of identical anyons if their behavior are close to bosons, which is a summery of several joint works. As we know, anyons have intermediate statistical behavior which is neither symmetric like bosons or antisymmetric like fermions.  It is natural to ask what is the right model to study density functional of them if their numbers are large. We explain the effective model if the exchange statistical factor gets closer to bosons, which generalizes the Gross-Pitaevskii energy functional. Then, we discuss about the ground states and possible approximations of the energy.