Magic wavelength for the hydrogen 1S-2S transition

Citation Kawasaki, Akio. "Magic wavelength for the hydrogen 1S-2S transition. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. 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 magnitudes of the ac Stark shift E = −119 Hz/(kW/cm 2) and the slope ddE/dν = −2.77 Hz/(GHz kW/cm 2) at the magic wavelength suggest that a stable and narrow-line-width 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.