Extended molecules and geometric scattering resonances in optical lattices |
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Authors: | Fedichev P O Bijlsma M J Zoller P |
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Affiliation: | Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria. |
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Abstract: | We develop a theory describing neutral atom 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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