Prediction of Feshbach resonances from three input parameters

Abstract

We have developed a model of Feshbach resonances in gases of ultracold alkali metal atoms using the ideas of multichannel quantum defect theory. Our model requires just three parameters describing the interactions - the singlet and triplet scattering lengths, and the long range van der Waals coefficient - in addition to known atomic properties. Without using any further details of the interactions, our approach can accurately predict the locations of resonances. It can also be used to find the singlet and triplet scattering lengths from measured resonance data. We apply our technique to ${}^6$Li--${}^{40}$K and ${}^{40}$K--${}^{87}$Rb scattering, obtaining good agreement with experimental results, and with the more computationally intensive coupled channels technique.

5 pages, 2 figures, revised version

References in corpus (10)

• Production of cold molecules via magnetically tunable Feshbach resonances
• Inter-isotope determination of ultracold rubidium interactions from three high-precision experiments
• Observation of Heteronuclear Feshbach Resonances in a Bose-Fermi Mixture
• Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
• Observation of Feshbach resonances between two different atomic species
• Feshbach spectroscopy of a K-Rb atomic mixture
• Quantum theory of ultracold atom-ion collisions
• The coupling of the X${}^1{\Sigma }^{+}$ and a${}^3{\Sigma }^{+}$ states of KRb
• Multichannel quantum-defect theory for slow atomic collisions
• Feshbach resonances in mixtures of ultracold ${}^6$Li and ${}^{87}$Rb gases

Cited by in corpus (29)

• Feshbach spectroscopy and analysis of the interaction potentials of ultracold sodium
• Causality and the effective range expansion
• Multichannel quantum-defect theory for ultracold atom-ion collisions
• Radio-frequency dressing of multiple Feshbach resonances
• Feshbach resonances in the 6Li-40K Fermi-Fermi mixture: Elastic versus inelastic interactions
• Causality and universality in low-energy quantum scattering
• Observation of "broad" d-wave Feshbach resonances with a triplet structure
• Analytic description of atomic interaction at ultracold temperatures II: Scattering around a magnetic Feshbach resonance
• Quantum Defect Theory for High Partial Wave Cold Collisions
• Creation and manipulation of Feshbach resonances with radio-frequency radiation
• Asymptotic Bound-state Model for Feshbach Resonances
• Observation of broad p-wave Feshbach resonances in ultracold ${}^{85}$Rb-${}^{87}$Rb mixtures
• Production of large ${}^{41}$K Bose-Einstein condensates using D1 gray molasses
• Multichannel interactions of two atoms in an optical tweezer
• Broad Feshbach resonances in ultracold alkali-metal systems
• Quantum Defect Theory for Cold Chemistry with Product Quantum State Resolution
• Quantum-defect theory of resonant charge exchange
• Investigation of Feshbach Resonances in ultra-cold 40 K spin mixtures
• Feshbach spectroscopy of an ultracold ${}^{41}$K-${}^6$Li mixture and ${}^{41}$K atoms
• Multichannel quantum defect theory for ro-vibrational transitions in ultracold molecule-molecule collisions
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Multichannel quantum-defect theory for magnetic Feshbach resonances in heteronuclear group I systems
• Measurement of inelastic losses in a sample of ultracold Rb-85
• Quantum Defect Theory description of weakly bound levels and Feshbach resonances in LiRb
• Multichannel quantum defect theory with a frame transformation for ultracold atom-molecule collisions in magnetic fields
• Closed-channel parameters of Feshbach resonances
• Multichannel quantum-defect theory for anisotropic interactions
• Revealing Energy Dependence of Quantum Defects via Two Heteronuclear Atoms in an Optical Tweezer
• Multichannel Quantum Defect Theory with Numerical Reference Functions: Applications to Cold Atomic Collisions