Magic Wavelength for Hydrogen 1S-2S Transition

Abstract

The magic wavelength for an optical lattice for hydrogen atoms that cancels the lowest order AC Stark shift of the 1S-2S transition is calculated to be 513 nm. The magnitude of AC Stark shift $\Delta E=-1.19$ kHz/(10kW/cm${}^2$) and the slope $d\Delta E/d\nu =-27.7$ Hz/(GHz $\cdot$ 10 kW/cm${}^2$) at the magic wavelength suggests that a stable and narrow linewidth trapping laser is necessary to achieve a deep enough optical lattice to confine hydrogen atoms in a way that gives a small enough light shift for the precision spectroscopy of the 1S-2S transition.

5 pages, 2 figures

References in corpus (3)

• An Optical Lattice Clock with Accuracy and Stability at the $10^{-18}$ Level
• An atomic clock with $10^{-18}$ instability
• Optical Lattice Induced Light Shifts in an Yb Atomic Clock

Cited by in corpus (2)

• Magic wavelength for the hydrogen 1S-2S transition: Contribution of the continuum and the reduced-mass correction
• Probing the limits of optical cycling in a predissociative diatomic molecule