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Updated: Aug 26, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Extended molecules and geometric scattering resonances in optical lattices
P O Fedichev1, M J Bijlsma, P Zoller
1Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria.
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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