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New Journal of Physics

Precise measurements of polarizabilities of cesium nS Rydberg states in an ultra-cold atomic ensemble

Jingxu Bai, Suying Bai, Xiaoxuan Han, Yuechun Jiao, Jianming Zhao, Suotang Jia

Published Aug 13, 2020• 15 citations
Publisher

Abstract

Abstract We present precise measurements of polarizabilities of cesium nS1/2 (n = 65–75) Rydberg states by Stark spectroscopies. In experiment, Rydberg atoms are excited via a two-photon scheme of a standard magneto-optical trap and detected by the field ionization technique. The Stark shift is measured by analysing the spectroscopy under an external electric field. The polarizability, α, is acquired by fitting the experimental data of Stark shifts with Δ W = − 1 2 α E 2 . The theoretical model is applied to numerically simulate the Stark map and corresponding level shifts, related deviation between the experimental measurements and calculations are less than 2%. The scaling law of polarizabilities, A ⋅ ( n * ) 7 + B ⋅ ( n * ) 6 (n* is effective principal quantum number), is attained, that shows a good agreement with the measurements.

DOI
10.1088/1367-2630/abaf30

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Abstract We present precise measurements of polarizabilities of cesium nS1/2 (n = 65–75) Rydberg states by Stark spectroscopies. In experiment, Rydberg atoms are excited via a two-photon scheme of a standard magneto-optical trap and detected by the field ionization technique. The Stark shift is measured by analysing the spectroscopy under an external electric field. The polarizability, α, is acquired by fitting the experimental data of Stark shifts with Δ W = − 1 2 α E 2 . The theoretical model is applied to numerically simulate the Stark map and corresponding level shifts, related deviation between the experimental measurements and calculations are less than 2%. The scaling law of polarizabilities, A ⋅ ( n * ) 7 + B ⋅ ( n * ) 6 (n* is effective principal quantum number), is attained, that shows a good agreement with the measurements.
In this paper, we investigate the Stark effect of ultra-cold 39D cesium Rydberg atoms in low-field. The Stark structure of 39D Rydberg states is calculated numerically. The cold cesium atoms are excited to Rydberg states via two-step process and the Stark spectra are obtained by field-ionization method. The scalar and tenson polarizabilities of 39D cesium Rydberg atoms are measured to be α5/22=62(7) MHz·V-2cm2，α5/20=－146(13) MHz·V-2cm2, α3/22=73(6) MHz·V-2cm2，α3/20=－106(20) MHz·V-2cm2 respectively. The experimental values are in agreement with the theoretical results.
We demonstrate the single-photon Rydberg excitation of cesium atoms in a magneto-optical trap (MOT). We excite atoms directly from 6S1/2ground state to nP3/2(n = 70-100) Rydberg state with a narrow-linewidth 319-nm ultra-violet laser. The detection of Rydberg states is performed by monitoring the reduction of fluorescence signal of the MOT as partial population on 6S1/2(F = 4) ground state are transferred to Rydberg state. We clearly observe Autler-Townes doublet in the trap-loss spectra due to the cooling lights. Utilizing the large electric polarizibility of Rydberg atoms, we observe Stark splitting in the Autler-Townes doublet induced by background DC electric fields. We investigate the dependence of Stark shift on electric fields by theoretical analysis, and then infer the DC electric field from the measured Stark splitting. We find that there is a 44.8(4) mV/cm DC electric field in the vicinity of the cold ensemble. It indicates that high-lying Rydberg atoms can be used as sensors for DC electric fields.
Ultracold cesium n S ( n =60–70) Rydberg atoms are prepared using the two-photon scheme in a magneto-optical trap (MOT). The number of resonant Rydberg atoms is measured by the pulsed field ionization technique, and the dependences of the Rydberg signal on excitation duration and external DC electric field are investigated. The excitation dynamics and blockade effects due to long-range interactions are obtained. The effect of external electric field on Rydberg excitation is also investigated, and the experimental result shows an enhanced blockade with a weak external electric field.
The lifetimes of nS1/2 and nD5/2 (n = 60–83) cesium Rydberg states are measured accurately in a magneto-optical trap using the field ionization technique and analyzed with the existing theoretical model. The room temperature blackbody radiation (BBR) and interaction between Rydberg atoms can enhance the decay rate and reduce the spontaneous lifetime of the given Rydberg atom. The measured lifetime shows a good agreement with the calculation accounting a room temperature BBR at low enough Rydberg atomic density. The dependence of measured lifetime on atomic density shows that the collision and interaction between Rydberg atoms have a large effect on the lifetime at higher Rydberg atomic density. The scaling laws of n2.55±0.02 for nD5/2 state and n2.30±0.01 for nS1/2 state within n = 60–83 range are obtained and agreement with the model calculation with a relative deviation less than 3%.
Calibration and compensation of the background electric fields in the vicinity of the cold atomic ensemble are critically vital, for achieving quantum computing, quantum simulation, and precision measurement. Here the work presents and demonstrates a straightforward method for measuring and compensation of the background electric field by means of the trap-loss fluorescence spectroscopy (TLFS) of cesium (Cs) magneto-optical trap (MOT) with the Rydberg n P 3/2 states with principal quantum numbers n from 71 to 85. In our experiment, TLFS is induced by single-photon Rydberg excitation with a Cs MOT, utilizing a 319 nm ultraviolet (UV) laser characterized by narrow linewidth (less than 6 kHz), continuous fine-tuning of 1 GHZ, and ultra-low-intensity noise (the intensity fluctuates approximately ±0.06% over 25 minutes with sampling power of 3 mW). Using this method, we measure the intensity of the background electric field in the vicinity of a cold atomic ensemble of about 218.9 ± 7.5 mV/cm. Through adjustment of electrode plates the residual electric field was reduced to 116.3 mV/cm, which induces a Stark shift −84.1 MHz. Our experiments provide an easier and more straightforward method for measuring and regulating the background electric field and lay a foundation for optimizing electric field compensation and fast feedback systems in the future.