Multipole Analysis of Radio-Frequency Reactions in Ultra-Cold Atoms

Abstract

Using the multipole expansion we analyze photo induced reactions in an ultra-cold atomic gas composed of identical neutral bosons. While the Frank-Condon factor dominates the photo induced spin-flip reactions, we have found that for frozen-spin process where the atomic spins are conserved the reaction rate is governed by the monopole $r^2$ and the quadrupole terms. Consequently, the dependence of the frozen-spin reaction rate on the photon wave number $k$ acquires an extra $k^4$ factor in comparison to the spin-flip process. Comparing the relative strength of the $r^2$ and quadrupole modes in dimer photoassociation we predict that the mutual importance of these two modes changes with temperature and scattering length.

References in corpus (13)

• Universality in Few-body Systems with Large Scattering Length
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• Radio-Frequency Transitions on Weakly-Bound Ultracold Molecules
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Cited by in corpus (6)

• Radiative capture reactions in lattice effective field theory
• Harmonic and Subharmonic Association and Dissociation of Universal Dimers in a Thermal Gas
• Photo Reactions with Universal Trimers
• Observation of coherent oscillations in association of dimers from a thermal gas of ultracold atoms
• Log-Periodic Oscillations in the Photo Response of Efimov Trimers
• Photoassociation of Universal Efimov Trimers