Rydberg electromagnetically induced transparency and Autler–Townes splitting in a weak radio-frequency electric field
Hao Liping1, Xue Yongmei1, Fan Jiabei1, Jiao Yuechun1, 2, Zhao Jianming1, 2, †, Jia Suotang1, 2
       

(a) Measurements (symbols) and calculations (solid lines) of Rydberg EIT-AT spectra as a function of the coupling laser detuning Δc for fixed probe/coupling laser Rabi frequency Ω p = 2 π × 3.99 MHz and Ω c = 2 π × 2.06 MHz and an indicated microwave power PRF = 0.32 mW (blue) and 1.99 mW (red). The RF electric field with frequency 15.21 GHz couples the nearby Rydberg states 66 S 1 / 2 and 65 P 1 / 2 . The AT splitting γAT is obtained by multipeak Lorentz fittings to the Rydberg EIT-AT spectra. The RF field-free EIT signal (black) is obtained with a 6 S 1 / 2 6 P 3 / 2 66 S 1 / 2 three-level scheme, and a Lorentz fitting to the data yields an EIT linewidth γ EIT = 2 π × 4.68 MHz . (b) The residuals R between experiment and theory. The RMS values of the residuals are 0.052 and 0.079 for PRF = 0.32 mW and 1.99 mW, respectively, showing good agreement with the experimental data. The small fluctuations near the center of the line are attributed to the broadening that is mainly induced by the inhomogeneity of the RF field, see text.