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Photonics

Probing nS/nD Rydberg States via 6P3/2 Intermediate Level Using Electromagnetically Induced Transparency in 87Rb

Donghao Li, Bo Xu, Keyu Qin, Xin Hong Jia, Changtao Zhao, Yaoting Zhou, Zhongxiao Xu

Published Feb 26, 2025• 3 citations
Publisher

Abstract

We perform precise measurements of the 87Rb Rydberg excitation spectrum by using electromagnetically induced transparency (EIT) in a ladder system. We utilize a two-photon excitation configuration with the probe and control lasers at 420 nm and 1013 nm, respectively. In this work, we employ 6P3/2,F′ = 3 as an intermediate state to excite the high-lying Rydberg states of the nS and nD series, with principal quantum numbers ranging from n=35 to n=70. To improve the signal-to-noise ratio (SNR) in this inverted level scheme (λp<λc), we apply a 100 kHz chopping to the control beam, which is followed by a demodulation operated with a lock-in amplifier. Additionally, we verify the ionization energies and determine the quantum defects for the nS and nD series, respectively. Our work offers a database for applications of large-scale quantum simulation and quantum computation with the 87Rb atom array.

DOI
10.3390/photonics12030204

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We perform precise measurements of the 87Rb Rydberg excitation spectrum by using electromagnetically induced transparency (EIT) in a ladder system. We utilize a two-photon excitation configuration with the probe and control lasers at 420 nm and 1013 nm, respectively. In this work, we employ 6P3/2,F′ = 3 as an intermediate state to excite the high-lying Rydberg states of the nS and nD series, with principal quantum numbers ranging from n=35 to n=70. To improve the signal-to-noise ratio (SNR) in this inverted level scheme (λp<λc), we apply a 100 kHz chopping to the control beam, which is followed by a demodulation operated with a lock-in amplifier. Additionally, we verify the ionization energies and determine the quantum defects for the nS and nD series, respectively. Our work offers a database for applications of large-scale quantum simulation and quantum computation with the 87Rb atom array.
Rydberg atoms possess highly excited valence electrons that are far away from atomic cations. Compared with ground states, Rydberg states are excited states with a high principal quantum number n that exhibit large electric dipole moments and have a variety of applications in quantum information processing. In this communication, we report the measurement of the 6Li Rydberg excitation spectrum by ladder-type electromagnetically induced transparency (EIT) in a vapor cell. The 2p→ns/nd EIT spectra were recorded by sweeping the frequency of an ultraviolet Rydberg pumping laser while keeping the probing laser resonant to the 2s→2p transition. All lasers were locked on an ultrastable optical Fabry-Pérot cavity and measured by an optical frequency comb. Our results provide valuable information to precisely determine quantum defects and enable novel experiments with Rydberg-dressed ultracold Fermi gases.
We report our measurements of the absolute transition frequencies of 5P3/2, F = 3 to nS and nD Rydberg states of 87Rb with high principal quantum numbers in a wide range of values (n = 45-124). The measurements were performed using Rydberg Electromagnetically Induced Transparency (EIT) in ladder-type three-level systems. We measure the transition frequencies with an accuracy of ≤ 2 MHz. We determine the values of the Rydberg-Ritz parameter for 87Rb from our experimental measurements of the transition frequencies. Our measurements of the absolute transition frequencies of the highly excited Rydberg states would be useful for diverse applications in quantum information processing, quantum simulation and quantum sensing with Rydberg atoms.
Rydberg atoms, with large principal quantum number n, have been widely investigated in recent years due to their peculiar properties, such as big sizes, long lifetimes and strong interactions with fields and other Rydberg atoms. Rydberg atoms are very sensitive to external fields due to their large polarizabilities scaling as n7.These make Rydberg atoms an ideal candidate for the quantum information, the many-body interaction, etc.In this work, we investigate the Rydberg atoms using electromagneticlly induced transparency (EIT) in a ladder three-level system. The EIT is a quantum interference effect between two excitation path-ways driven by two laser fields. The main idea is performed in a room temperature cesium vapor cell, where the probe laser frequency is modulated. The ground state (6P1/2), excited state (6P3/2), and Rydberg state (nS1/2) constitute a Rydberg three-level system, in which the probe laser is fixed to the 6S1/2 (F = 4)6P3/2 (F = 5) transition by saturated absorption spectrum technique, whereas the coupling laser is scanned across the 6P3/249S1/2 transition. We detect the demodulated EIT signal with the lock-in amplifier (SR830). The modulated EIT signal shows a two-peak structure. The measured spacing between two peaks increases with the frequency detuning, caused by the modulation amplitude, and half the spacing between the peak-to-peak is nearly 1.67 times the modulation amplitude of the probe laser; the measured result shows that the splitting is independent of the modulation frequency. The experimental results are in agreement with the theoretical calculations. The results in our work can be used for real-time monitoring of the laser-line profiles and the fluctuation of laser frequency.
Rydberg atoms, with large principal quantum number, exhibit certain properties, such as long lifetimes and strong interactions with fields and other atoms, which have been extensively investigated recently. One of the properties is the electromagnetically induced transparency (EIT) of Rydberg ladder system, which can be used to measure the radio frequency (RF) field with high sensitivity. In this paper, we investigate the quantum coherent effect of cesium Rydberg atom in a three-level ladder system involving the ground state (6S1/2), the excited state (6P3/2) and 49S1/2 Rydberg state in room temperature vapor cell. The probe laser (852 nm) drives the transition of 6S1/2(F=4)→6P3/2(F'=5), while the coupling laser (510 nm) couples the Rydberg transition of 6P3/2 (F'=5)→nS1/2. A typical electromagnetically induced transparency spectrum is obtained when the weak probe laser is scanned through the transition of 6S1/2(F=4)→6P3/2(F'=5) and the coupling laser tuning to Rydberg transition. The two-photon RF spectra are observed when the RF field with a frequency of ～16.9 GHz couples the Rydberg transition of 49S1/2→47D3/2, where the EIT signal is split into two EIT peaks due to the interaction between the RF field and Rydberg atoms. The dependences of EIT splitting on the power of RF field are investigated. The results show that the EIT splitting increases with the power of RF field, which can inversely be used to measure the RF field with a higher spatial resolution in the future.
The double resonance phenomenon of EIT is studied through the ladder three-level Rydberg system. A probe laser with the wavelength λp=852.35 nm is used to coupling the ground state 6S1/2 to the middle state 6P3/2, and a coupling laser with the wavelength λc=509.08 nm is implemented to couple the state 6P3/2 to the Rydberg state 62D5/2. A special optical scheme is designed, in which the co-propagating and counter-propagating configurations are both used. As a result, the double resonance of electromagnetically induced transparency (EIT) with the Rydberg atom is observed. By comparing the distance between the double peaks, it is found that the double resonance phenomenon comes from the Doppler effect, and the distance between the two resonance peaks in the absorption spectrum is related to the detuning of the resonant lasers.
We report the measurement of absolute excitation frequencies of 87Rb^{87}\mathrm{Rb}87Rb to nSnSnS and nDnDnD Rydberg states. The Rydberg transition frequencies are obtained by observing electromagnetically induced transparency on a rubidium vapor cell. The accuracy of the measurement of each state is $\ensuremath{\lesssim}$1 MHz, which is achieved by frequency stabilizing the two diode lasers employed for the spectroscopy to a frequency comb and a frequency comb calibrated wavelength meter, respectively. Based on the spectroscopic data we determine the quantum defects of 87Rb{}^{87}\text{Rb}87Rb, and compare it with previous measurements on 85Rb{}^{85}\text{Rb}85Rb. We determine the ionization frequency from the 5S1/2(F=1)5{S}_{1/2}(F=1)5S1/2​(F=1) ground state of 87Rb{}^{87}\text{Rb}87Rb to 1010.0291646(3)THz1010.029 164 6(3)\mathrm{THz}1010.0291646(3)THz, providing the binding energy of the ground state with an accuracy improved by two orders of magnitude.