https://doi.org/10.1140/epjb/e2009-00210-8
Superfluid to Mott insulator quantum phase transition in a 2D permanent magnetic lattice
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
Corresponding author: a sghanbari@swin.edu.au
Received:
30
October
2008
Revised:
25
May
2009
Published online:
26
June
2009
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.
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009
