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APS

Microwave spectroscopy of Al Rydberg atoms: Quantum defect analysis of new measurements in S, P, D, F and G states

Stanislav F. Dyubko, V. A. Efremov, V. G. Gerasimov, Keith B. MacAdam

Published May 1, 2004• 0 citations
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Microwave spectroscopy of high Rydberg atoms

Michio Takami, H. Maeda, Yukari Matsuo +3 more

•Apr 1, 1993•0 citations

Microwave spectroscopy and multichannel quantum defect analysis of ytterbium 6 s n p , 6 s n f , and 6 s n g Rydberg states

Rin Kuroda, Vernon M. Hughes, Martin Poitrinal +2 more

The complex Rydberg structure of ytterbium atoms is shaped by multiple low-lying ion-core-excited states and strong channel interactions, which presents both opportunities and challenges for quantum information processing and precision metrology. In this work, we extend high-resolution microwave spectroscopy and multichannel quantum defect theory (MQDT) modeling of singly excited $6sn\ensuremath{\ell}$ Rydberg states in $^{174}\mathrm{Yb}$ and $^{171}\mathrm{Yb}$ to include the $\ensuremath{\ell}=3$ ($f$) and $\ensuremath{\ell}=4$ ($g$) series. Our measurements reveal $p\text{\ensuremath{-}}f$ mixing in odd-parity Rydberg states of $^{171}\mathrm{Yb}$, which we incorporate by combined MQDT models for $6snp$ and $6snf$ series. Additionally, we observe that for $\ensuremath{\ell}=4$ the spin-orbit interaction dominates over the exchange interaction, such that the $6sng$ states are more accurately described in a $jj$-coupled basis. We validate our models by comparing the predicted Land\'e $g$ factors and static dipole polarizabilities with experimental measurements, finding excellent agreement. These results provide important input for designing high-fidelity entangling gates with ytterbium atoms.

arXiv:2507.11487•Physical Review A•Sep 16, 2025•2 citations

Rydberg atoms in microwave fields

Thomas F. Gallagher

Annual Meeting Optical Society of America•Jan 1, 1993•0 citations

Measurement of the Rb g -series quantum defect using two-photon microwave spectroscopy

Kaitlin Moore, Alisher Duspayev, Ryan Cardman +1 more

We utilize two-photon, high-precision microwave spectroscopy of $ng\ensuremath{\rightarrow}(n+2)g$ transitions to precisely measure the high-angular-momentum $g$-series quantum defect of $^{85}\mathrm{Rb}$. Samples of cold Rydberg atoms in the $ng$ state are prepared via a three-photon optical excitation combined with controlled electric-field mixing and probed with 40-$\ensuremath{\mu}\mathrm{s}$-long microwave interaction pulses. The leading systematic uncertainty arises from DC Stark shifts, which is addressed by a cancellation of background electric fields in all three dimensions. From our measurements and an analysis of systematic uncertainties from DC and AC Stark shifts, van der Waals interactions, and microwave frequency calibration, we obtain ${\ensuremath{\delta}}_{0}=0.003\phantom{\rule{0.16em}{0ex}}999\phantom{\rule{0.16em}{0ex}}0(21)$ and ${\ensuremath{\delta}}_{2}=\ensuremath{-}0.0202(21)$. We discuss our results in context with recent work elsewhere, as well as applications towards precision measurement.

arXiv:2004.11407•Physical Review A•Dec 22, 2020•15 citations

Quantum defects of n F J levels of Cs Rydberg atoms

Jingxu Bai, Rong Song, Jiabei Fan +4 more

We present precise measurements of the quantum defects of cesium $n{F}_{J}$ Rydberg levels. We employ high-precision microwave spectroscopy of $(n+2){D}_{5/2}\ensuremath{\rightarrow}n{F}_{5/2,7/2}$ transitions for $n=45$ to 50 in a cold-atom setup. Cold cesium $(n+2){D}_{5/2}$ atoms, prepared via two-photon laser excitation, are probed by scanning weak microwave fields interacting with the atoms across the $n{F}_{5/2,7/2}$ resonances. Transition spectra are acquired using state-selective electric-field ionization and time-gated ion detection. Transition-frequency intervals are obtained by Lorentzian fits to the measured spectral lines, which have linewidths ranging between 70 and 190 kHz, corresponding to about one to three times the Fourier limit. A comprehensive analysis of relevant line-shift uncertainties and line-broadening effects is conducted. We find quantum defect parameters ${\ensuremath{\delta}}_{0}({F}_{5/2})=0.033\phantom{\rule{0.16em}{0ex}}415\phantom{\rule{0.16em}{0ex}}37(70)$ and ${\ensuremath{\delta}}_{2}({F}_{5/2})=\ensuremath{-}0.2014(16)$, as well as ${\ensuremath{\delta}}_{0}({F}_{7/2})=0.033\phantom{\rule{0.16em}{0ex}}564\phantom{\rule{0.16em}{0ex}}6(13)$ and ${\ensuremath{\delta}}_{2}({F}_{7/2})=\ensuremath{-}0.2052(29)$, for $J=5/2$ and $7/2$, respectively. Fine-structure parameters ${A}_{\mathrm{FS}}$ and ${B}_{\mathrm{FS}}$ for Cs $n{F}_{J}$ are also obtained. Results are discussed in context with previous works, and the significance of the results is discussed.

arXiv:2304.07974•Physical Review A•Aug 8, 2023•13 citations

Microwave Ionization of Rydberg Atoms

Leo Moorman, Peter M. Koch

WORLD SCIENTIFIC eBooks•Sep 1, 1992•3 citations
The complex Rydberg structure of ytterbium atoms is shaped by multiple low-lying ion-core-excited states and strong channel interactions, which presents both opportunities and challenges for quantum information processing and precision metrology. In this work, we extend high-resolution microwave spectroscopy and multichannel quantum defect theory (MQDT) modeling of singly excited $6sn\ensuremath{\ell}$ Rydberg states in 174Yb^{174}\mathrm{Yb}174Yb and 171Yb^{171}\mathrm{Yb}171Yb to include the $\ensuremath{\ell}=3$ (fff) and $\ensuremath{\ell}=4$ (ggg) series. Our measurements reveal $p\text{\ensuremath{-}}f$ mixing in odd-parity Rydberg states of 171Yb^{171}\mathrm{Yb}171Yb, which we incorporate by combined MQDT models for 6snp6snp6snp and 6snf6snf6snf series. Additionally, we observe that for $\ensuremath{\ell}=4$ the spin-orbit interaction dominates over the exchange interaction, such that the 6sng6sng6sng states are more accurately described in a jjjjjj-coupled basis. We validate our models by comparing the predicted Land\'e ggg factors and static dipole polarizabilities with experimental measurements, finding excellent agreement. These results provide important input for designing high-fidelity entangling gates with ytterbium atoms.
We utilize two-photon, high-precision microwave spectroscopy of $ng\ensuremath{\rightarrow}(n+2)g$ transitions to precisely measure the high-angular-momentum ggg-series quantum defect of 85Rb^{85}\mathrm{Rb}85Rb. Samples of cold Rydberg atoms in the ngngng state are prepared via a three-photon optical excitation combined with controlled electric-field mixing and probed with 40-$\ensuremath{\mu}\mathrm{s}$-long microwave interaction pulses. The leading systematic uncertainty arises from DC Stark shifts, which is addressed by a cancellation of background electric fields in all three dimensions. From our measurements and an analysis of systematic uncertainties from DC and AC Stark shifts, van der Waals interactions, and microwave frequency calibration, we obtain ${\ensuremath{\delta}}_{0}=0.003\phantom{\rule{0.16em}{0ex}}999\phantom{\rule{0.16em}{0ex}}0(21)$ and ${\ensuremath{\delta}}_{2}=\ensuremath{-}0.0202(21)$. We discuss our results in context with recent work elsewhere, as well as applications towards precision measurement.
We present precise measurements of the quantum defects of cesium nFJn{F}_{J}nFJ​ Rydberg levels. We employ high-precision microwave spectroscopy of $(n+2){D}_{5/2}\ensuremath{\rightarrow}n{F}_{5/2,7/2}$ transitions for n=45n=45n=45 to 50 in a cold-atom setup. Cold cesium (n+2)D5/2(n+2){D}_{5/2}(n+2)D5/2​ atoms, prepared via two-photon laser excitation, are probed by scanning weak microwave fields interacting with the atoms across the nF5/2,7/2n{F}_{5/2,7/2}nF5/2,7/2​ resonances. Transition spectra are acquired using state-selective electric-field ionization and time-gated ion detection. Transition-frequency intervals are obtained by Lorentzian fits to the measured spectral lines, which have linewidths ranging between 70 and 190 kHz, corresponding to about one to three times the Fourier limit. A comprehensive analysis of relevant line-shift uncertainties and line-broadening effects is conducted. We find quantum defect parameters ${\ensuremath{\delta}}_{0}({F}_{5/2})=0.033\phantom{\rule{0.16em}{0ex}}415\phantom{\rule{0.16em}{0ex}}37(70)$ and ${\ensuremath{\delta}}_{2}({F}_{5/2})=\ensuremath{-}0.2014(16)$, as well as ${\ensuremath{\delta}}_{0}({F}_{7/2})=0.033\phantom{\rule{0.16em}{0ex}}564\phantom{\rule{0.16em}{0ex}}6(13)$ and ${\ensuremath{\delta}}_{2}({F}_{7/2})=\ensuremath{-}0.2052(29)$, for J=5/2J=5/2J=5/2 and 7/27/27/2, respectively. Fine-structure parameters AFS{A}_{\mathrm{FS}}AFS​ and BFS{B}_{\mathrm{FS}}BFS​ for Cs nFJn{F}_{J}nFJ​ are also obtained. Results are discussed in context with previous works, and the significance of the results is discussed.