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Superfluid to Mott insulator quantum phase transition in a 2D permanent magnetic lattice

  • Solid State and Materials
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Abstract

The accessibility of the critical parameters for the superfluid to Mott insulator quantum phase transition in a 2D permanent magnetic lattice is investigated. We determine the hopping matrix element J, the on-site interaction U, and hence the ratio J/U, in the harmonic oscillator wave function approximation. We show that for a range of realistic parameters the critical values of J/U, predicted by different methods for the Bose-Hubbard model in 2D, such as mean field theory and Monte Carlo simulations, are accessible in a 2D permanent magnetic lattice. The calculations are performed for a 2D permanent magnetic lattice created by two crossed arrays of parallel rectangular magnets plus a bias magnetic field.

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Author notes

  1. Tien D. Kieu

    Present address: The Portland House Research Group Pty Ltd, 8 Collins Street, Melbourne, 3000, Australia

Authors and Affiliations

  1. Centre for Atom Optics and Ultrafast Spectroscopy and ARC Centre of Excellence for Quantum-Atom Optics, Swinburne University of Technology, Melbourne, Australia

    Saeed Ghanbari, Peter Hannaford & Tien D. Kieu

  2. Jack Dodd Centre for Photonics and Ultra-Cold Atoms, Department of Physics, University of Otago, P.O. Box 56, Dunedin, New Zealand

    P. Blair Blakie

Authors
  1. Saeed Ghanbari
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  2. P. Blair Blakie
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  3. Peter Hannaford
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  4. Tien D. Kieu
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Correspondence to Saeed Ghanbari.

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Ghanbari, S., Blair Blakie, P., Hannaford, P. et al. Superfluid to Mott insulator quantum phase transition in a 2D permanent magnetic lattice. Eur. Phys. J. B 70, 305–310 (2009). https://doi.org/10.1140/epjb/e2009-00210-8

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  • DOI: https://doi.org/10.1140/epjb/e2009-00210-8

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