Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-06-14
Physics
Condensed Matter
Other Condensed Matter
5 pages, 4 figures
Scientific paper
10.1209/0295-5075/81/20001
Based on consideration of the system symmetry and its Hilbert space, we show that strongly interacting fermions 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 tunneling rates. We investigate the model under population imbalance and show the attractive and the repulsive models have the same complexity in 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.
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