Recently, we studied the magic wavelength for the atomic hydrogen 1S-2S transition [A. Kawasaki, Phys. Rev. A 92, 042507 (2015)PLRAAN1050-294710.1103/PhysRevA.92.042507]. An explicit summation over virtual atomic states of the discrete part of the hydrogen spectrum was performed to evaluate the atomic polarizability. In this paper, we supplement the contribution of the continuum part of the spectrum and add the reduced-mass correction. The magic wavelength, at which the lowest-order ac Stark shifts of the 1S and 2S states are equal, is found to be 514.6 nm. The ac Stark shift at the magic wavelength is -221.6Hz/(kW/cm2), and the slope of the ac Stark shift at the magic wavelength under a change of the driving laser frequency is -0.2157Hz/[GHz(kW/cm2)].




This research was supported by the National Science Foundation under Grant No. PHY-1403973.

Keywords and Phrases

Mathematical models; Physics, AC Stark shift; Atomic hydrogen; Atomic polarizability; Atomic state; Hydrogen spectra; Kawasaki; Laser frequency; Reduced mass, Atoms

International Standard Serial Number (ISSN)

2469-9926; 2469-9934

Document Type

Article - Journal

Document Version

Final Version

File Type





© 2016 American Physical Society (APS), All rights reserved.

Publication Date

01 Sep 2016

Included in

Physics Commons