General Hubbard model for strongly interacting fermions in an optical lattice and its phase detection

Details General Hubbard model for strongly interacting fermions in an optical lattice and its phase detection General Hubbard model for strongly interacting fermions in an optical lattice and its phase detection

2007-06-14

arxiv.org/abs/0706.2161v1

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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