Parafermionic states in rotating Bose-Einstein condensates

Details Parafermionic states in rotating Bose-Einstein condensates Parafermionic states in rotating Bose-Einstein condensates

2006-01-24

arxiv.org/abs/cond-mat/0601550v1

Phys. Rev. B76, 235324 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

23 pages, 10 figures

Scientific paper

10.1103/PhysRevB.76.235324

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.

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