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Communication Dans Un Congrès Année : 2016

Effect of the band structure in a rigorous two-body model with long-range interactions in 1D optical lattices

Tom Kristensen
Andrea Simoni
Jean-Michel Launay

Résumé

We compute scattering and bound state properties for two ultracold molecules in a pure 1D optical lattice. We introduce reference functions with complex quasi-momentum that naturally account for the effect of excited energy bands. Our exact results for a short-range interaction are first compared with the simplest version of the standard Bose-Hubbard (BH) model. Such comparison allows us to highlight the effect of the excited bands, of the non-on-site interaction and of tunneling with distant neighbor, that are not taken into account in the BH model. The effective interaction can depend strongly on the particle quasi-momenta and can present a resonant behavior even in a deep lattice. As a second step, we study scattering of two polar particles in the optical lattice. Peculiar Wigner threshold laws stem from the interplay of the long range dipolar interaction and the presence of the energy bands. We finally assess the validity of an extended Bose-Hubbard model for dipolar gases based on our exact two-body calculations.
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Dates et versions

hal-01326812 , version 1 (06-06-2016)

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  • HAL Id : hal-01326812 , version 1

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Tom Kristensen, Andrea Simoni, Jean-Michel Launay. Effect of the band structure in a rigorous two-body model with long-range interactions in 1D optical lattices. 47th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics, May 2016, Providence, United States. ⟨hal-01326812⟩
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