Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of the Physical Society of Japan

Numerically Calculated Stark Structures of Cesium Rydberg Atom and Experimental Observation in an Ultracold Gas

Changyong Li, Ting Hao, Hao Zhang, Xinbo Zhu, Guanqi Tao, Linjie Zhang, Jianming Zhao, Suotang Jia

Published Mar 26, 2012• 8 citations
Publisher

Abstract

The Stark structure of the cesium atom is calculated using parametric model potential, up-to-date quantum defects, and the same phase convention as that of conventional hydrogen. Using this phase convention makes the phase comparison between other atoms and the hydrogen atom more convenient. Experimental works are performed in an ultracold gas. The calculated Stark structures of the cesium atom for n =19 and 50D are in good agreement with our experimental results. The calculated transition probabilities for the Stark states near the n =19 are in good agreement with our observed spectra. The polarizabilities of the 50D components are measured and discussed in detail.

DOI
10.1143/jpsj.81.044302

Related papers

Stark spectra of Rydberg states in atomic cesium in the vicinity ofn= 18

Hui-Jie Dong, Ting Wang, Changyong Li +2 more

The Stark structures in a cesium atom around n = 18 are numerically calculated. The results show that the components of 20D states with a small azimuthal quantum number | m | shift upward a lot, and those with a large | m | shift downward a little within 1100 V/cm. All components of P states shift downward. Experimental work has been performed in ultracold atomic cesium. Atoms initially in 6P 3/2 state are excited to high- n Rydberg states by a polarization light perpendicular to the field, and Stark spectra with | m | = 1/2, 3/2, 5/2 are simultaneously observed with a large linewidth for the first time. The observed spectra are analyzed in detail. The relative transition probability is calculated. The experimental results are in good agreement with our numerical computation.

Chinese Physics B•Jul 1, 2013•5 citations

Experimental investigation of Stark effect of ultra-cold 39D cesium Rydberg atoms

Xingbo Zhu, Hao Zhang, Zhigang Feng +5 more

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.

Acta Physica Sinica•Jan 1, 2010•10 citations

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

Jingxu Bai, Suying Bai, Xiaoxuan Han +3 more

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.

New Journal of Physics•Aug 13, 2020•15 citations

The potential model investigation of Stark effect in caesium Rydberg state atoms and comparison with experiment

Zhengfa Hu, Zhao Hong-tai, Zhou Shi-Kang +2 more

The potential model method for computation of Stark structure of Cs Rydberg states atoms and oscillator strength is described, for external electric fields varying from 0 to 600V/cm. Anticrossing, l -mixing and n -mixing phenomena are observed clearly from the map of Stark. Corresponding experiment is performed under the same condition, and the two results are in good agreement with each other within the experimental uncertainty.

Chinese Physics•Nov 1, 2000•2 citations

Precision Stark spectroscopy of the fine structure of the microwave transition 37P-37S in sodium Rydberg atoms

Igor M. Beterov, I. I. Ryabtsev

The results of experimental and theoretical investigations of the fine structure of the spectrum of the microwave transition 37 P -37 S in sodium Rydberg atoms in a weak electric field are reported. New data are obtained on the experimental values of the scalar and tensor polarizabilities of the 37 P level. A numerical simulation of the Stark diagram, taking into account the influence of the anticrossings of the Rydberg levels, is performed, and the results are found to be in good agreement with experiment.

Journal of Experimental and Theoretical Physics Letters•Dec 1, 1998•4 citations

Using experimental measurements of three-level avoided crossings to determine the quantum defect for the Stark map of highly excited cesium Rydberg atoms

Limei Wang, Changyong Li, Hao Zhang +5 more

The spectra of Rydberg atoms in the domain of three-level avoided crossings formed by the Rydberg $49{S}_{1/2}$ state and high-$l$ states in the $n=45$ manifold are observed in the standard magneto-optical trap of cesium. We develop a highly accurate method which uses the spectroscopic results in order to refine the quantum defect of the $49{S}_{1/2}$ state from the previous value $4.0495\ifmmode\pm\else\textpm\fi{}0.0001$ extrapolated from $n=6--30\phantom{\rule{0.16em}{0ex}}S$ states [K. H. Weber and C. J. Sansonetti, Phys. Rev. A 35, 4650 (1987)] to the new value $4.049\phantom{\rule{0.16em}{0ex}}78\ifmmode\pm\else\textpm\fi{}0.000\phantom{\rule{0.16em}{0ex}}03$. For this purpose, we determine two characteristic properties of the avoided crossings: (i) the minimum gap between the upper and the lower levels, and (ii) the value of equal gaps between the upper and the middle levels and between the middle and the lower levels. The experimental results for the avoided crossing near 4 V/cm are (i) $(111.7\ifmmode\pm\else\textpm\fi{}1.3)h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}$, and (ii) $(57.0\ifmmode\pm\else\textpm\fi{}2.1)h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}$. For comparison, quantum mechanical simulations based on the published quantum defect yield (i) $109.52h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}$, and (ii) $56.04h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}$. The refined quantum defect is adjusted such that it yields (i) $111.50h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}$, and (ii) $56.98h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}$, in even better agreement with the experimental results. The theoretical values of the electric fields for (i) and (ii) differ by 0.03 V/cm, in perfect agreement with the experimental results. The refinement also improves the agreement of their absolute values. The remaining \ensuremath{\sim}1.5% difference is attributed to effects of stray fields.

Physical Review A•Mar 23, 2016•3 citations
The Stark structure of the cesium atom is calculated using parametric model potential, up-to-date quantum defects, and the same phase convention as that of conventional hydrogen. Using this phase convention makes the phase comparison between other atoms and the hydrogen atom more convenient. Experimental works are performed in an ultracold gas. The calculated Stark structures of the cesium atom for n =19 and 50D are in good agreement with our experimental results. The calculated transition probabilities for the Stark states near the n =19 are in good agreement with our observed spectra. The polarizabilities of the 50D components are measured and discussed in detail.
The Stark structures in a cesium atom around n = 18 are numerically calculated. The results show that the components of 20D states with a small azimuthal quantum number | m | shift upward a lot, and those with a large | m | shift downward a little within 1100 V/cm. All components of P states shift downward. Experimental work has been performed in ultracold atomic cesium. Atoms initially in 6P 3/2 state are excited to high- n Rydberg states by a polarization light perpendicular to the field, and Stark spectra with | m | = 1/2, 3/2, 5/2 are simultaneously observed with a large linewidth for the first time. The observed spectra are analyzed in detail. The relative transition probability is calculated. The experimental results are in good agreement with our numerical computation.
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.
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.
The results of experimental and theoretical investigations of the fine structure of the spectrum of the microwave transition 37 P -37 S in sodium Rydberg atoms in a weak electric field are reported. New data are obtained on the experimental values of the scalar and tensor polarizabilities of the 37 P level. A numerical simulation of the Stark diagram, taking into account the influence of the anticrossings of the Rydberg levels, is performed, and the results are found to be in good agreement with experiment.
The spectra of Rydberg atoms in the domain of three-level avoided crossings formed by the Rydberg 49S1/249{S}_{1/2}49S1/2​ state and high-lll states in the n=45n=45n=45 manifold are observed in the standard magneto-optical trap of cesium. We develop a highly accurate method which uses the spectroscopic results in order to refine the quantum defect of the 49S1/249{S}_{1/2}49S1/2​ state from the previous value $4.0495\ifmmode\pm\else\textpm\fi{}0.0001$ extrapolated from n=6−−30Sn=6--30\phantom{\rule{0.16em}{0ex}}Sn=6−−30S states [K. H. Weber and C. J. Sansonetti, Phys. Rev. A 35, 4650 (1987)] to the new value $4.049\phantom{\rule{0.16em}{0ex}}78\ifmmode\pm\else\textpm\fi{}0.000\phantom{\rule{0.16em}{0ex}}03$. For this purpose, we determine two characteristic properties of the avoided crossings: (i) the minimum gap between the upper and the lower levels, and (ii) the value of equal gaps between the upper and the middle levels and between the middle and the lower levels. The experimental results for the avoided crossing near 4 V/cm are (i) $(111.7\ifmmode\pm\else\textpm\fi{}1.3)h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}$, and (ii) $(57.0\ifmmode\pm\else\textpm\fi{}2.1)h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}$. For comparison, quantum mechanical simulations based on the published quantum defect yield (i) 109.52hMHz109.52h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}109.52hMHz, and (ii) 56.04hMHz56.04h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}56.04hMHz. The refined quantum defect is adjusted such that it yields (i) 111.50hMHz111.50h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}111.50hMHz, and (ii) 56.98hMHz56.98h\phantom{\rule{0.28em}{0ex}}\mathrm{MHz}56.98hMHz, in even better agreement with the experimental results. The theoretical values of the electric fields for (i) and (ii) differ by 0.03 V/cm, in perfect agreement with the experimental results. The refinement also improves the agreement of their absolute values. The remaining \ensuremath{\sim}1.5% difference is attributed to effects of stray fields.