Superfluid to Mott insulator quantum phase transition in a 2D permanent magnetic lattice |
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| Authors: | Saeed Ghanbari P. Blair Blakie Peter Hannaford Tien D. Kieu |
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| Affiliation: | (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 |
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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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| Keywords: | KeywordHeading" >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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