Bound states of two bosons in an optical lattice near an association resonance

Details Bound states of two bosons in an optical lattice near an association resonance Bound states of two bosons in an optical lattice near an association resonance

2010-11-02

arxiv.org/abs/1011.0599v2

Phys. Rev. A 83, 031607(R) (2011)

Physics

Atomic Physics

This version is very close to the published version. 5 pages, 1 figure

Scientific paper

10.1103/PhysRevA.83.031607

We model two bosons in an optical lattice near a Feshbach or photoassociation resonance, focusing on the Bose-Hubbard model in one dimension. Whereas the usual atoms-only theory with a tunable scattering length yields one bound state for a molecular dimer for either attractive or repulsive atom-atom interaction, an atom-molecule theory gives two bound states that may represent attractively and repulsively bound dimers occurring simultaneously. Such unusual molecular physics should be observable for an atom-molecule coupling strength comparable to the width of the dissociation continuum of the lattice dimer, for example, using narrow Feshbach resonances in Na, $^{87}$Rb, and $^{133}$Cs or low-intensity photoassociation in $^{174}$Yb.

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