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arXiv · 1410.3242

Magic wavelengths for the $2 \ ^3S \to 2 \ ^1S$ transition in helium

Remy Notermans·Robert Rengelink·Ton van Leeuwen·Wim Vassen
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Abstract

We have calculated ac polarizabilities of the $2 \ ^3S$ and $2 \ ^1S$ states of both $^4$He and $^3$He in the range 318 nm to 2.5 $μ$m and determined the magic wavelengths at which these polarizabilities are equal for either isotope. The calculations, only based on available ab initio tables of level energies and Einstein A coefficients, do not require advanced theoretical techniques. The polarizability contribution of the continuum is calculated using a simple extrapolation beyond the ionization limit, yet the results agree to better than 1% with such advanced techniques. Several promising magic wavelengths are identified around 320 nm with sufficient accuracy to design an appropriate laser system. The extension of the calculations to $^3$He is complicated due to the additional hyperfine structure, but we show that the magic wavelength candidates around 320 nm are predominantly shifted by the isotope shift.

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Remy Notermans, Robert Rengelink, Ton van Leeuwen, Wim Vassen. 2014-11-13. Magic wavelengths for the $2 \ ^3S \to 2 \ ^1S$ transition in helium. https://doi.org/10.1103/physreva.90.052508

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