• Photonics Research
  • Vol. 12, Issue 10, 2242 (2024)
H. Shao1, Y.-B. Tang2,8,*, H.-L. Yue1,3, F.-F. Wu4..., Z.-X. Ma1,3, Y. Huang1,5, L.-Y. Tang1, H. Guan1,5,6,9,* and K.-L. Gao1,5,7,10,*|Show fewer author(s)
Author Affiliations
  • 1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China
  • 2Physics Teaching and Experiment Center, Shenzhen Technology University, Shenzhen 518118, China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
  • 4College of Sciences, China Jiliang University, Hangzhou 310018, China
  • 5Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China
  • 6Wuhan Institute of Quantum Technology, Wuhan 430206, China
  • 7Hefei National Research Center for Physical Sciences at the Microscale and School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China
  • 8e-mail: tangyongbo@sztu.edu.cn
  • 9e-mail: guanhua@apm.ac.cn
  • 10e-mail: klgao@apm.ac.cn
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    DOI: 10.1364/PRJ.530283 Cite this Article Set citation alerts
    H. Shao, Y.-B. Tang, H.-L. Yue, F.-F. Wu, Z.-X. Ma, Y. Huang, L.-Y. Tang, H. Guan, K.-L. Gao, "Precision determination of dipole transition elements with a single ion," Photonics Res. 12, 2242 (2024) Copy Citation Text show less

    Abstract

    In the field of quantum metrology, transition matrix elements are crucial for accurately evaluating the black-body radiation shift of the clock transition and the amplitude of the related parity-violating transition, and can be used as probes to test quantum electrodynamic effects, especially at the 10-310-4 level. We developed a universal experimental approach to precisely determine the dipole transition matrix elements by using the shelving technique, for the species where two transition channels are involved, in which the excitation pulses with increasing duration were utilized to induce shelving, and the resulting shelving probabilities were determined by counting the scattered photons from the excited P1/22 state to the S1/22 ground state. Using the scattered photons offers several advantages, including insensitivity to fluctuations in magnetic field, laser intensity, and frequency detuning. An intensity-alternating sequence to minimize detection noise and a real-time approach for background photon correction were implemented in parallel. We applied this technique to a single Yb+ ion, and determined the 6pP1/22-5dD23/2 transition matrix element 2.9979(20) ea0, which indicates an order of magnitude improvement over existing reports. By combining our result with the 6pP1/22 lifetime of 8.12(2) ns, we extracted the 6sS1/22-6pP1/22 transition matrix element to be 2.4703(31) ea0. The accurately determined dipole transition matrix elements can serve as a benchmark for the development of high-precision atomic many-body theoretical methods.
    Avw=2.02613×1018λ3(2jv+1)|ΨvE1Ψw|2,

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    P=exp(bt).

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    PP1/2=p/psat2(1+p/psat),

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    b=pγr2(p+psat).

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    H. Shao, Y.-B. Tang, H.-L. Yue, F.-F. Wu, Z.-X. Ma, Y. Huang, L.-Y. Tang, H. Guan, K.-L. Gao, "Precision determination of dipole transition elements with a single ion," Photonics Res. 12, 2242 (2024)
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