Pulsed Adiabatic Photoassociation via Scattering Resonances

Abstract

We develop the theory for the Adiabatic Raman Photoassociation (ARPA) of ultracold atoms to form ultracold molecules in the presence of scattering resonances. Based on a computational method in which we replace the continuum with a discrete set of "effective modes", we show that the existence of resonances greatly aids in the formation of deeply bound molecular states. We illustrate our general theory by computationally studying the formation of ${}^{85}$Rb${}_2$ molecules from pairs of colliding ultracold ${}^{85}$Rb atoms. The single-event transfer yield is shown to have a near-unity value for wide resonances, while the ensemble-averaged transfer yield is shown to be higher for narrow resonances. The ARPA yields are compared with that of (the experimentally measured) "Feshbach molecule" magneto-association. Our findings suggest that an experimental investigation of ARPA at sub-$\mu$K temperatures is warranted.

20 pages, 11 figures

References in corpus (6)

• A High Phase-Space-Density Gas of Polar Molecules
• Quantum Gas of Deeply Bound Ground State Molecules
• Quantum gas of rovibronic ground-state molecules in an optical lattice
• Giant formation rates of ultracold molecules via Feshbach Optimized Photoassociation
• Photoassociation adiabatic passage of ultracold Rb atoms to form ultracold Rb_2 molecules
• Efficient formation of ground state ultracold molecules via STIRAP from the continuum at a Feshbach resonance