Magic wavelength for the hydrogen 1S-2S transition: Contribution of the continuum and the reduced-mass correction

Abstract

Recently, we studied the magic wavelength for the atomic hydrogen 1S-2S transition [A.K., Phys. Rev. A 92, 042507 (2015)]. 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 equal to 514.6 nm. The ac Stark shift at the magic wavelength is -221.6 Hz / (kW/cm^2), and the slope of the ac Stark shift at the magic wavelength under a change of the driving laser frequency is -0.2157 Hz/ (GHz kW/cm^2).

4 pages; RevTeX

References in corpus (5)

• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Nonrelativistic QED approach to the Lamb shift
• Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic States
• Relativistic and Radiative Corrections to the Mollow Spectrum
• Functional Form of the Imaginary Part of the Atomic Polarizability

Cited by in corpus (1)

• Long-range interactions of hydrogen atoms in excited states. I. 2S-1S interactions and Dirac-delta perturbations