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arXiv:0812.0429 · Science China Physics Mechanics and Astronomy

Photonic Feshbach resonance

Dazhi Xu, Hou Ian, Tao Shi, Hui Dong, Chang-Pu Sun

Published Jun 8, 2010• 15 citations
arXivHTMLPDF
DOI
10.1007/s11433-010-4014-1

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We study collision of two atoms with formation of Feshbach resonance at combined interaction with the external magnetic field and laser radiation. In cases of one- and two-photon resonances of laser radiation with two discrete vibrational molecular levels, we show that Feshbach resonances appear at interaction of external magnetic field with dressed states formed via Autler-Townes effect. In addition, in case of one-photon resonance the lower vibrational molecular state is coupled by laser radiation with the continuum of the elastic channel and forms laser-induced Feshbach resonance via both Autler-Townes effect and LICS mechanism. We study the combined process of formation of Feshbach resonances; this enables the control of Feshbach resonance by varying the magnetic field and intensity and frequency of laser radiation. We obtain the cross-sections of elastic and inelastic scattering and show that quenching of resonance occurs at the energy equal to that of the systems ground state. Dependence of the cross-sections on the magnetic field and laser intensity is examined in detail. In all considered cases, the scattering length is obtained depending on the magnetic and laser fields are studied. In the absence of magnetic interaction if the hyperfine substates of the quasibound state in the closed channel and those of individual colliding atoms in the open channel are the same, Feshbach resonances may arise via weak interaction between nuclear and electronic motions, which leads to transitions between electronic states. The obtained results can be employed in new studies of collisions of cold atoms, e.g., of alkali metal atoms and for interpretation of new experiments in BECs.
We conduct a theoretical study of magnetically induced Feshbach resonances and near-threshold bound states in isotopic NaK pairs. Our calculations accurately reproduce Feshbach spectroscopy data on Na40K\mathrm{Na}^{40}\mathrm{K}Na40K and explain the origin of the observed multiplets in the ppp wave [Phys. Rev. A 85, 051602(R) (2012)]. We apply the model to predict scattering and bound state threshold properties of the boson-boson Na39K\mathrm{Na}^{39}\mathrm{K}Na39K and Na41K\mathrm{Na}^{41}\mathrm{K}Na41K systems. We find that the Na39K\mathrm{Na}^{39}\mathrm{K}Na39K isotopic pair presents broad magnetic Feshbach resonances and favorable ground-state features for producing nonreactive polar molecules by two-photon association. Broad sss-wave resonances are also predicted for Na41K\mathrm{Na}^{41}\mathrm{K}Na41K collisions.