Strengths of near-threshold optical Feshbach resonances
Optical Feshbach resonances allow one to control cold atomic scattering, produce ultracold molecules and study atomic interactions via photoassociation spectroscopy. Here we give practical analytic expressions for the strength parameter, the optical length, of Feshbach resonances due to near-threshold bound states of an excited molecular state dominated by either a resonant-dipole or van der Waals interaction. For example, for a laser intensity $I$, binding energy $E_b$, $s$-wave scattering length $a$, and Condon point $R_C$, the optical length for a very weakly bound resonant-dipole state is $l_{\rm opt} \propto I (a-R_C)^2/\sqrt{-E_b}$. We also extend the utility of the optical length to associative STIRAP in 3D optical lattices by showing the free-bound Rabi frequency to be proportional to $\Omega_{\rm FB} \propto \sqrt{l_{\rm opt}} \omega_{\rm trap}^{3/4}$ for a trapping frequency $\omega_{\rm trap}$.
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Mateusz Borkowski (add twitter)
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11/18/19 06:09PM
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