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Bulletin of the American Physical Society

Quantum beat spectroscopy of Rydberg hyperfine structure

Huy Minh Nguyen, Jacob Lampen, Matthew N. Winchester, P. R. Berman, A. Kuzmich

Published May 30, 2018• 0 citations
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arXiv:2207.08582•Physical Review A•Nov 29, 2022•7 citations
We present measurements of the hyperfine structure (HFS) of the nPJn{P}_{J}nPJ​ Rydberg states for a large range of principal quantum number nnn (n=41−−55)(n=41--55)(n=41−−55) employing microwave spectroscopy in an ultracold cesium Rydberg ensemble. A microwave field with $30\text{\ensuremath{-}}\textmu{}\mathrm{s}$ duration couples the $nS\ensuremath{\rightarrow}nP$ transition, yielding a narrow linewidth spectroscopy that approaches the Fourier limit, which allows us to resolve the hyperfine structure of nPJn{P}_{J}nPJ​ states. By analyzing the hyperfine splittings of nPJn{P}_{J}nPJ​ states, we determine the magnetic dipole HFS coupling constant A‾HFS,P1/2=3.760(26){\overline{A}}_{\mathrm{HFS},{P}_{1/2}}=3.760(26)AHFS,P1/2​​=3.760(26) GHz for the P1/2{P}_{1/2}P1/2​ state, and A‾HFS,P3/2=0.718(27){\overline{A}}_{\mathrm{HFS},{P}_{3/2}}=0.718(27)AHFS,P3/2​​=0.718(27) GHz and ${\overline{B}}_{\mathrm{HFS},{P}_{3/2}}=\ensuremath{-}0.084(102)$ GHz for the P3/2{P}_{3/2}P3/2​ state. Systematic uncertainties caused by stray electromagnetic field, microwave field power, and Rydberg interaction are analyzed. This measurement is significant for the investigation of Rydberg electrometry and quantum simulation with dipole interaction involving the nPJn{P}_{J}nPJ​ state.
We measure the hyperfine structure of nP1/2n{P}_{1/2}nP1/2​ Rydberg states for n=n=n= 42, 43, 44, and 46 using mm-wave spectroscopy on an ensemble of laser-cooled 85Rb^{85}\mathrm{Rb}85Rb atoms. Systematic uncertainties in our measurement from the Zeeman splittings induced by stray magnetic fields and dipole-dipole interactions between two Rydberg atoms are factored in with the obtained statistical uncertainty. Our final measurement of the nP1/2n{P}_{1/2}nP1/2​ hyperfine coupling constant is AHFS=1.443(31){A}_{\text{HFS}}=1.443(31)AHFS​=1.443(31) GHz. This measurement is useful for studies of long-range Rydberg molecules, Rydberg electrometry, and quantum simulation with dipole-dipole interactions involving nP1/2n{P}_{1/2}nP1/2​ atoms.