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arXiv · 1207.5936

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

Betzalel Bazak·Evgeny Liverts·Nir Barnea
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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.

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Betzalel Bazak, Evgeny Liverts, Nir Barnea. 2012-07-25. Multipole Analysis of Radio-Frequency Reactions in Ultra-Cold Atoms. https://doi.org/10.1103/physreva.86.043611

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