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QUANTUM HALL FRACTIONS IN ULTRACOLD ATOMIC VAPORS

N. REGNAULT

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

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and

TH. JOLICOEUR

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

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https://doi.org/10.1142/S0217984904007530Cited by:5 (Source: Crossref)

Abstract

Atomic vapors can be prepared and manipulated at very low densities and temperatures. When they are rotating, they can reach a quantum Hall regime in which there should be manifestations of the fractional quantum Hall effect. We discuss the appearance of the principal sequence of fractions ν=p/(p±1) for bosonic atoms. The termination point of this series is the paired Moore–Read Pfaffian state. Exotic states fill the gap between the paired state and the vortex lattice expected at high filling of the lowest Landau level. In fermionic vapors, the p-wave scattering typical of ultralow energy collisions leads to the hard-core model when restricted to the lowest Landau level.

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