Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-09-07
Physics
Condensed Matter
Quantum Gases
4 pages, 2 figures
Scientific paper
We numerically study the problem of two fermions in a three dimensional optical lattice interacting via a zero-range Feshbach resonance, and display the dispersions of the bound states as a two-particle band structure with unique features compared to typical single-particle band structures. We show that the exact two-particle solutions of a projected Hamiltonian may be used to define an effective two-channel, few-band model for the low energy, low density physics of many fermions at arbitrary s-wave scattering length. Our method applies to resonances of any width, and can be adapted to multichannel situations or higher-$\ell$ pairing. In strong contrast to usual Hubbard physics, we find diagonal hopping can be significant, atoms which do not lie along a principal axis of the lattice can pair to form a dressed molecule, and the lattice induces multiple molecular bound states.
Carr Lincoln D.
Wall Michael L.
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