Volume 81, Number 2, January 2008
|Number of page(s)||5|
|Published online||03 December 2007|
General Hubbard model for strongly interacting fermions in an optical lattice and its phase detection
FOCUS center and MCTP, Department of Physics, University of Michigan - Ann Arbor, MI 48109, USA
Accepted: 6 November 2007
Based on the consideration of the system symmetry and its Hilbert space, we show that strongly interacting fermions near a wide Feshbach resonance in an optical lattice or superlattice can be generically described by a lattice resonance Hamiltonian. The latter can be mapped to a general Hubbard model with particle-assisted tunnelling rates. We investigate the model under population imbalance and show that the attractive and the repulsive models have the same complexity in the phase diagram under the particle-hole mapping. Using this mapping, we propose an experimental method to detect possible exotic superfluid/magnetic phases for this system.
PACS: 03.75.Ss – Degenerate Fermi gases / 05.30.Fk – Fermion systems and electron gas / 34.50.-s – Scattering of atoms and molecules
© EPLA, 2008
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