Production Efficiency of Ultracold Feshbach Molecules in Bosonic and Fermionic Systems

Abstract

We investigate the production efficiency of ultracold molecules in bosonic ${}^{85}$Rb and fermionic ${}^{40}$K when the magnetic field is swept across a Feshbach resonance. For adiabatic sweeps of the magnetic field, the conversion efficiency of each species is solely determined by the phase space density of the atomic cloud, in contrast to a number of theoretical predictions. Our novel model for the adiabatic pairing process, developed from general physical principles, accurately predicts the conversion efficiency for {\it both} ultracold gases of bosons and of fermions. In the non-adiabatic regime our measurements of the ${}^{85}$Rb molecule conversion efficiency follow a Landau Zener model, with a conversion efficiency that is characterized by the density divided by the time derivative of the magnetic field.

5 pages, 3 figures

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• Radio frequency association of heteronuclear Feshbach molecules
• Feshbach resonances in ultracold 85Rb
• The Hyperspherical Four-Fermion Problem
• Nonlinear adiabatic passage from fermion atoms to boson molecules
• Association of molecules using a resonantly modulated magnetic field
• Enhanced quantum control of individual ultracold molecules using optical tweezer arrays
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• Universality in nonadiabatic behaviour of classical actions in nonlinear models with separatrix crossings
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• Understanding the superfluid phase diagram in trapped Fermi gases
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• Molecule Formation in Optical Lattice Wells by Resonantly Modulated Magnetic Fields
• Shapiro-like Resonance in Ultracold Molecule Production via an Oscillating Magnetic Field
• Comparative study of the rovibrational properties of heteronuclear alkali dimers in electric fields
• Quadratic-nonlinear Landau-Zener transition for association of an atomic Bose-Einstein condensate with inter-particle elastic interactions included
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• Pulsed Adiabatic Photoassociation via Scattering Resonances
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• Evolution of the unitary Bose gas for broad to narrow Feshbach resonances
• Conversion Efficiencies of Heteronuclear Feshbach Molecules
• Enhancing molecular conversion efficiency by a magnetic field pulse sequence
• Feshbach molecule formation through an oscillating magnetic field: subharmonic resonances
• Adiabatic Phase Diagram of an Ultracold Atomic Fermi Gas with a Feshbach Resonance
• Experimental realization of BCS-BEC crossover physics with a Fermi gas of atoms
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