| ATOMIC AND MOLECULAR PHYSICS |
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Magic Wavelengths for the $1S$–$2S$ and $1S$–$3S$ Transitions in Hydrogen Atoms |
| Dong Yin1,2, Yong-Hui Zhang1,3, Cheng-Bin Li1**, Xian-Zhou Zhang3 |
1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
2Graduate University of the Chinese Academy of Sciences, Beijing 100049
3Department of Physics, Henan Normal University, Xinxiang 453007
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| Cite this article: |
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Dong Yin, Yong-Hui Zhang, Cheng-Bin Li et al 2016 Chin. Phys. Lett. 33 073101 |
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Abstract The dynamic dipole polarizabilities for $1S$, $2S$ and $3S$ states of the hydrogen atom are calculated using the finite B-spline basis set method, and the magic wavelengths for $1S$–$2S$ and $1S$–$3S$ transitions are identified. In comparison of the solutions from the Schr?dinger and Dirac equations, the relativistic corrections on the magic wavelengths are of the order of $10^{-2}$ nm. The laser intensities for a 300-$E_{\rm r}$-deep optical trap and the heating rates at 514 and 1371 nm are estimated. The reliable prediction of the magic wavelengths would be helpful for the experimental design on the optical trapping of the hydrogen atoms, and in turn, it would be helpful to improve the accuracy of the measurements of the hydrogen $1S$–$2S$ and $1S$–$3S$ transitions.
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Received: 19 April 2016
Published: 01 August 2016
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| PACS: |
31.15.ap
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(Polarizabilities and other atomic and molecular properties)
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32.10.Dk
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(Electric and magnetic moments, polarizabilities)
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31.15.aj
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(Relativistic corrections, spin-orbit effects, fine structure; hyperfine structure)
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