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Microscopic Derivation of Hubbard Parameters for Cold Atomic Gases

Microscopic Derivation of Hubbard Parameters for Cold Atomic Gases

We study the exact solution for two atomic particles in an optical lattice interacting via a Feshbach resonance. The analysis includes the influence of all higher bands, as well as the proper renormalization of molecular energy in the closed channel. Using an expansion in Bloch waves, we show that the …