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Superfluid to Mott insulator quantum phase transition in a 2D permanent magnetic lattice
Authors:Saeed Ghanbari  P Blair Blakie  Peter Hannaford and Tien D Kieu
Institution:(1) Centre for Atom Optics and Ultrafast Spectroscopy and ARC Centre of Excellence for Quantum-Atom Optics, Swinburne University of Technology, Melbourne, Australia;(2) Jack Dodd Centre for Photonics and Ultra-Cold Atoms, Department of Physics, University of Otago, P.O. Box 56, Dunedin, New Zealand;(3) Present address: The Portland House Research Group Pty Ltd, 8 Collins Street, Melbourne, 3000, Australia
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.
Keywords:PACS" target="_blank">PACS  03  75  Lm Tunneling  Josephson effect  Bose-Einstein condensates in periodic potentials  solitons  vortices  and topological          excitations  37  10  Gh Atom traps and guides  37  10  Jk Atoms in optical lattices  73  43  Nq Quantum phase transitions  67  85  Hj Bose-Einstein condensates in optical potentials
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