Magic Wavelength for Hydrogen 1S-2S Transition

preprint2015arXivOpen access

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=−1.19ΔE=-1.19 kHz/(10kW/cm2^2) and the slope dΔE/dν=−27.7dΔE/dν= -27.7 Hz/(GHz ⋅\cdot 10 kW/cm2^2) 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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