Extended molecules and geometric scattering resonances in optical lattices

Details Extended molecules and geometric scattering resonances in optical lattices Extended molecules and geometric scattering resonances in optical lattices

2003-04-23

arxiv.org/abs/cond-mat/0304527v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 1 figure, RevTeX

Scientific paper

10.1103/PhysRevLett.92.080401

We develop a theory describing neutral atoms scattering at low energies in an optical lattice. We show that for a repulsive interaction, as the microscopic scattering length increases, the effective scattering amplitude approaches a limiting value which depends only on the lattice parameters. In the case of attractive interaction a geometric resonance occurs before reaching this limit. Close to the resonance, the effective interaction becomes repulsive and supports a weakly bound state, which can extend over several lattice sites.

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