Physics – Condensed Matter – Quantum Gases
Scientific paper
2009-12-09
Phys. Rev. A 81, 043618 (2010)
Physics
Condensed Matter
Quantum Gases
7 pages, 7 figures; minor typos corrected
Scientific paper
10.1103/PhysRevA.81.043618
To test effective Hamiltonians for strongly interacting fermions in an optical lattice, we numerically find the energy spectrum for two fermions interacting across a Feshbach resonance in a double well potential. From the spectrum, we determine the range of detunings for which the system can be described by an effective lattice model, and how the model parameters are related to the experimental parameters. We find that for a range of strong interactions the system is well described by an effective $t-J$ model, and the effective superexchange term, $J$, can be smoothly tuned through zero on either side of unitarity. Right at and around unitarity, an effective one-band general Hubbard model is appropriate, with a finite and small on-site energy, due to a lattice-induced anharmonic coupling between atoms at the scattering threshold and a weakly bound Feshbach molecule in an excited center of mass state.
Duan Lu-Ming
Kestner J. P.
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