Abstract
When two atoms interact in the presence of an anharmonic potential, such as an optical lattice, the center of mass motion cannot be separated from the relative motion. In addition to generating a confinement-induced resonance (or shifting the position of an existing Feshbach resonance), the external potential changes the resonance picture qualitatively by introducing new resonances where molecular excited center of mass states cross the scattering threshold. We demonstrate the existence of these resonances, give their quantitative characterization in an optical superlattice and propose an experimental scheme to detect them through controlled sweeping of the magnetic field.
Highlights
In recent years, there has been much progress in the study of ultracold atoms in optical lattices, which can cleanly emulate important models in condensed matter, hold promise for quantum computing schemes, and offer the prospect to observe many interesting new phenomena [1]
There has been much progress in the study of ultracold atoms in optical lattices, which can cleanly emulate important models in condensed matter, hold promise for quantum computing schemes, and offer the prospect to observe many interesting new phenomena [1]. The versatility of this line of research is due in no small part to the control of the atomic interactions afforded by tuning an external magnetic field near a Feshbach resonance [2]
We predict the existence of several Feshbach-type resonances induced by the anharmonicity of the optical lattice, which couples the Feshbach molecules in the excited bands and the atomic states in the lowest band
Summary
There has been much progress in the study of ultracold atoms in optical lattices, which can cleanly emulate important models in condensed matter, hold promise for quantum computing schemes, and offer the prospect to observe many interesting new phenomena [1]. The versatility of this line of research is due in no small part to the control of the atomic interactions afforded by tuning an external magnetic field near a Feshbach resonance [2]. The anharmonicity of the optical lattice potential has been recognized as important in obtaining quantitatively accurate predictions for the shift of the free space Feshbach resonance position, binding energy, etc. [8]
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