Direct measurement of excited-state dipole matrix elements using electromagnetically induced transparency in the hyperfine Paschen-Back regime

Abstract

Applying large magnetic fields to gain access to the hyperfine Paschen-Back regime can isolate three-level systems in a hot alkali metal vapors, thereby simplifying usually complex atom-light interactions. We use this method to make the first direct measurement of the $|⟨5P||er||5D⟩|$ matrix element in ${}^{87}$Rb. An analytic model with only three levels accurately models the experimental electromagnetically induced transparency spectra and extracted Rabi frequencies are used to determine the dipole matrix element. We measure $|⟨5P_{3/2}||er||5D_{5/2}⟩|=(2.290\pm 0.002_{\mathrm{stat}}\pm 0.04_{\mathrm{syst}})e{a}_0$ which is in excellent agreement with the theoretical calculations of Safronova, Williams, and Clark [Phys. Rev. A \textbf{69}, 022509 (2004)].

8 pages, 6 figures

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