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Phys. Rev. Lett. 96, 180407 (2006) [4 pages]

High-Field Fractional Quantum Hall Effect in Optical Lattices

R. N. Palmer1 and D. Jaksch1
1Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
Received 26 December 2005; published 12 May 2006

We consider interacting bosonic atoms in an optical lattice subject to a large simulated magnetic field. We develop a model similar to a bilayer fractional quantum Hall system valid near simple rational numbers of magnetic flux quanta per lattice cell. Then we calculate its ground state, magnetic lengths, fractional fillings, and find unexpected sign changes in the Hall current. Finally we study methods for detecting these novel features via shot noise and Hall current measurements.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.96.180407
DOI: 10.1103/PhysRevLett.96.180407
PACS: 03.75.Lm; 32.80.Pj; 73.43.-f
  • 03.75.Lm
    Josephson effect, tunneling, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations
  • 32.80.Pj
    Optical cooling of atoms; trapping
  • 73.43.-f
    Quantum Hall effects
  • YEAR: 2006
KEYWORDS: quantum Hall effect, boson systems, Hall mobility

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