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

Abstract

We have calculated ac polarizabilities of the $2{}^{3}S$ and $2{}^{1}S$ states of both ${}^4$He and ${}^3$He in the range 318 nm to 2.5 $\mu$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.

9 pages, 3 figures

References in corpus (7)

• Extreme ultraviolet frequency comb metrology
• Frequency metrology of helium around 1083 nm and determination of the nuclear charge radius
• Prospects for precision measurements of atomic helium using direct frequency comb spectroscopy
• High-precision spectroscopy of the forbidden 2 3S1 - 2 1P1 transition in quantum degenerate metastable helium
• Properties of the triplet metastable states of the alkaline-earth atoms
• Helium 2 3S - 2 1S metrology at 1557 nm
• Hyperfine Suppression of $2^3{\mathrm{S}}_1-3^3{\mathrm{P}}_J$ Transitions in ${}^3$He

Cited by in corpus (5)

• Comparison of spectral linewidths for quantum degenerate bosons and fermions
• Efficient production of an 87Rb F = 2, mF = 2 Bose-Einstein condensate in a hybrid trap
• Pauli blocking of stimulated emission in a degenerate Fermi gas
• Quantum-State Controlled Penning Ionization Reactions between Ultracold Alkali and Metastable Helium Atoms
• Proposal for suppressing ac Stark shift in the He($2{}^3{S}_1\to 3{}^3{S}_1$) two-photon transition using magic wavelengths