Simple Theoretical Models for Resonant Cold Atom Interactions

Abstract

Magnetically tunable scattering resonances have been used with great success for precise control of s-wave scattering lengths in ultracold atomic collisions. We describe relatively simple yet quite powerful analytic treatments of such resonances based on the analytic properties of the van der Waals long range potential. This theory can be used to characterize a number of properties of specific resonances that have been used successfully in various experiments with ${}^{87}$Rb, ${}^{85}$Rb, ${}^{40}$K, and ${}^6$Li. Optical Feshbach resonances are also possible and may be practical with narrow intercombination line photoassociative transitions in species like Sr and Yb.

To be published in the Proceedings of the 20th International Conference on Atomic Physics, held in Innsbruck, Austria, July 2006

Cited by in corpus (13)

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• Effective-range approximations for resonant scattering of cold atoms
• Complexes formed in collisions between ultracold alkali-metal diatomic molecules and atoms
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• Few-body physics of ultracold atoms and molecules with long-range interactions
• Microscopy of an ultranarrow Feshbach resonance using a laser-based atom collider: A quantum defect theory analysis
• Stability of a Fully Polarized Ultracold Fermi Gas near Zero-Crossing of a p-wave Feshbach Resonance
• Magnetic Feshbach resonances between atoms in ${}^2$S and ${}^3$P${}_0$ states: mechanisms and dependence on atomic properties
• Efimov Trimers near the Zero-crossing of a Feshbach Resonance
• Closed-channel parameters of Feshbach resonances
• Observing S-Matrix Pole Flow in Resonance Interplay: Cold Collisions of Ultracold Atoms in a Miniature Laser-based Accelerator
• Multichannel Quantum Defect Theory with Numerical Reference Functions: Applications to Cold Atomic Collisions