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      Fractional quantum Hall states in the vicinity of Mott plateaus

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      Author
      UmucalIlar, R. O.
      Mueller, E. J.
      Date
      2010
      Source Title
      Physical Review A - Atomic, Molecular, and Optical Physics
      Print ISSN
      1050-2947
      Publisher
      The American Physical Society
      Volume
      81
      Issue
      5
      Pages
      053628-1 - 053628-6
      Language
      English
      Type
      Article
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      Abstract
      We perform variational Monte Carlo calculations to show that bosons in a rotating optical lattice will form analogs of fractional quantum Hall states when the tunneling is sufficiently weak compared to the interactions, and the deviation of density from an integer is commensurate with the effective magnetic field. We compare the energies of superfluid and correlated states to one another and to the energies found in full configuration-interaction calculations on small systems. We look at overlaps between our variational states and the exact ground state, characterizing the ways in which fractional quantum Hall effect correlations manifest themselves near the Mott insulating state. We explore the experimental signatures of these states.
      Keywords
      Configuration-interaction calculations
      Fractional quantum hall effects
      Fractional quantum hall state
      Mott-insulating state
      Optical lattices
      Small systems
      Variational Monte Carlo
      Hall effect
      Quantum theory
      Magnetic field effects
      Permalink
      http://hdl.handle.net/11693/22319
      Published Version (Please cite this version)
      http://dx.doi.org/10.1103/PhysRevA.81.053628
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