Nicolas Regnault 1, Thierry Jolicoeur 1, 2
Physical Review B 76 (2007) 235324
We investigate possible parafermionic states in rapidly rotating ultracold bosonic atomic gases at lowest Landau level filling factor nu=k/2. We study how the system size and interactions act upon the overlap between the true ground state and a candidate Read-Rezayi state. We also consider the quasihole states which are expected to display non-Abelian statistics. We numerically evaluate the degeneracy of these states and show agreement with a formula given by E. Ardonne. We compute the overlaps between low-lying exact eigenstates and quasihole candidate wavefunctions. We discuss the validity of the parafermion description as a function of the filling factor.
- 1. Laboratoire Pierre Aigrain (LPA),
CNRS : UMR8551 – Université Paris VI – Pierre et Marie Curie – Université Paris VII – Paris Diderot – Ecole Normale Supérieure de Paris – ENS Paris - 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
CNRS : UMR8626 – Université Paris XI – Paris Sud