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 and Tien D Kieu |
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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 |
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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: | 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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