Extended molecules and geometric scattering resonances in optical lattices.
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.
Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria.
P O
PO
Fedichev
M J
MJ
Bijlsma
P
P
Zoller