Making Cold Molecules by Time-dependent Feshbach Resonances

Abstract

Pairs of trapped atoms can be associated to make a diatomic molecule using a time dependent magnetic field to ramp the energy of a scattering resonance state from above to below the scattering threshold. A relatively simple model, parameterized in terms of the background scattering length and resonance width and magnetic moment, can be used to predict conversion probabilities from atoms to molecules. The model and its Landau-Zener interpretation are described and illustrated by specific calculations for ${}^{23}$Na, ${}^{87}$Rb, and ${}^{133}$Cs resonances. The model can be readily adapted to Bose-Einstein condensates. Comparison with full many-body calculations for the condensate case show that the model is very useful for making simple estimates of molecule conversion efficiencies.

11 pages, 11 figures; talk for Quantum Challenges Symposium, Warsaw, Poland, September 4-7, 2003. Published in Journal of Modern Optics 51, 1787-1806 (2004). Typographical errors in Journal article corrected

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Cited by in corpus (22)

• Many-Body Physics with Ultracold Gases
• Feshbach Resonances in Ultracold Gases
• Production of cold molecules via magnetically tunable Feshbach resonances
• Quo vadis, cold molecules? - Editorial review
• Feshbach resonances, weakly bound molecular states and coupled-channel potentials for cesium at high magnetic fields
• Spectroscopy of Ultracold, Trapped Cesium Feshbach Molecules
• The prospects of forming ultracold molecules in ${}^2\Sigma$ states by magnetoassociation of alkali-metal atoms with Yb
• Avoided crossings between bound states of ultracold Cesium dimers
• Doublon dynamics and polar molecule production in an optical lattice
• A two-channel R-matrix analysis of magnetic field induced Feshbach resonances
• Atom-molecule Rabi oscillations in a Mott insulator
• Coherent Atom-Molecule Oscillations in a Bose-Fermi Mixture
• Magnetic Feshbach resonances in ultracold collisions between Cs and Yb atoms
• Heating and atom loss during upward ramps of Feshbach resonance levels in Bose-Einstein condensates
• Mott-Insulator-Aided Detection of Ultra-Narrow Feshbach Resonances
• Laser-Assisted Self-Induced Feshbach resonance for ultracold polar molecule formation
• Feshbach resonances in a nonseparable trap
• Photoassociation dynamics in a Bose-Einstein condensate
• A multichannel hyperspherical model for Efimov physics with van der Waals interactions controlled by a Feshbach resonance
• Impact of overlapping resonances on magnetoassociation of cold molecules in tight traps
• Fast quantum gate via Feshbach-Pauli blocking in a nanoplasmonic trap
• Optimal population transfer in combined Feshbach Resonance and STIRAP process