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

Quantum Gases 2012-10-12 v2 Atomic Physics

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 r2r^2 and the quadrupole terms. Consequently, the dependence of the frozen-spin reaction rate on the photon wave number kk acquires an extra k4k^4 factor in comparison to the spin-flip process. Comparing the relative strength of the r2r^2 and quadrupole modes in dimer photoassociation we predict that the mutual importance of these two modes changes with temperature and scattering length.

Keywords

Cite

@article{arxiv.1207.5936,
  title  = {Multipole Analysis of Radio-Frequency Reactions in Ultra-Cold Atoms},
  author = {Betzalel Bazak and Evgeny Liverts and Nir Barnea},
  journal= {arXiv preprint arXiv:1207.5936},
  year   = {2012}
}