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Parafermionic states in rotating Bose-Einstein condensates

N. Regnault·Th. Jolicoeur
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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.

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N. Regnault, Th. Jolicoeur. 2006-01-24. Parafermionic states in rotating Bose-Einstein condensates. https://doi.org/10.1103/physrevb.76.235324

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