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arXiv · 1507.02466

Magic Wavelength for Hydrogen 1S-2S Transition

Akio Kawasaki
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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 $ΔE=-1.19$ kHz/(10kW/cm$^2$) and the slope $dΔE/dν= -27.7$ 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.

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Akio Kawasaki. 2015-10-13. Magic Wavelength for Hydrogen 1S-2S Transition. https://doi.org/10.1103/physreva.92.042507

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