Parafermionic states in rotating Bose-Einstein condensates
Mesoscale and Nanoscale Physics
2010-03-18 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/0601550,
title = {Parafermionic states in rotating Bose-Einstein condensates},
author = {N. Regnault and Th. Jolicoeur},
journal= {arXiv preprint arXiv:cond-mat/0601550},
year = {2010}
}
Comments
23 pages, 10 figures