Parafermionic states in rotating Bose-Einstein condensates

N. Regnault and Th. Jolicoeur
Phys. Rev. B 76, 235324 – Published 27 December 2007

Abstract

We investigate some properties of the parafermionic states, which may occur in rapidly rotating ultracold bosonic atomic gases at lowest Landau level filling factor ν=k2 (with k integer 2). These states have manifolds of quasihole states, which are expected to display non-Abelian statistics. We use exact diagonalizations in the spherical geometry to investigate the quasihole manifolds for quantum Hall states at ν=1, 32, 2, and 52. We show that there is a perfect agreement between numerical findings and the prediction of conformal field theory concerning the number of orbital angular momentum multiplets as a function of added vorticity. The overlap between quasihole candidate wave functions and the corresponding states for realistic delta function interactions between bosons is computed. This allows us to discuss the possible relevance of non-Abelian degeneracy in the physical situation of ultracold atoms.

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  • Received 18 July 2007

DOI:https://doi.org/10.1103/PhysRevB.76.235324

©2007 American Physical Society

Authors & Affiliations

N. Regnault

  • Laboratoire Pierre Aigrain, Département de Physique, 24, Rue Lhomond, 75005 Paris, France

Th. Jolicoeur

  • Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, 91405 Orsay, France

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Issue

Vol. 76, Iss. 23 — 15 December 2007

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