Excited-state magnetic properties of carbon-like $\text{Ca}^{14+}$
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2025
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| author | Spieß, Lukas J. Chen, Shuying Wilzewski, Alexander Wehrheim, Malte Gilles, Jan Surzhykov, Andrey Benkler, Erik Filzinger, Melina Steinel, Martin Huntemann, Nils Cheung, Charles Porsev, Sergey G. Bondarev, Andrey I. Safronova, Marianna S. López-Urrutia, José R. Crespo Schmidt, Piet O. |
| author_facet | Spieß, Lukas J. Chen, Shuying Wilzewski, Alexander Wehrheim, Malte Gilles, Jan Surzhykov, Andrey Benkler, Erik Filzinger, Melina Steinel, Martin Huntemann, Nils Cheung, Charles Porsev, Sergey G. Bondarev, Andrey I. Safronova, Marianna S. López-Urrutia, José R. Crespo Schmidt, Piet O. |
| contents | We measured the $g$-factor of the excited state $^3\text{P}_1$ in $\text{Ca}^{14+}$ ion to be $g = 1.499032(6)$ with a relative uncertainty of $4\times10^{-6}$. The magnetic field magnitude is derived from the Zeeman splitting of a $\text{Be}^+$ ion, co-trapped in the same linear Paul trap as the highly charged $\text{Ca}^{14+}$ ion. Furthermore, we experimentally determined the second-order Zeeman coefficient $C_2$ of the $^3\text{P}_0$ - $^3\text{P}_1$ clock transition. For the $m_J=0\rightarrow m_{J'}=0$ transition, we obtain $C_2 = 0.39\pm0.04\text{HzmT}^{-2}$, which is to our knowledge the smallest reported for any atomic transition to date. This confirms the predicted low sensitivity of highly charged ions to higher-order Zeeman effects, making them ideal candidates for high-precision optical clocks. Comparison of the experimental results with our state-of-the art electronic structure calculations shows good agreement, and demonstrates the significance of the frequency-dependent Breit contribution, negative energy states and QED effects on magnetic moments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_18926 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Excited-state magnetic properties of carbon-like $\text{Ca}^{14+}$ Spieß, Lukas J. Chen, Shuying Wilzewski, Alexander Wehrheim, Malte Gilles, Jan Surzhykov, Andrey Benkler, Erik Filzinger, Melina Steinel, Martin Huntemann, Nils Cheung, Charles Porsev, Sergey G. Bondarev, Andrey I. Safronova, Marianna S. López-Urrutia, José R. Crespo Schmidt, Piet O. Atomic Physics We measured the $g$-factor of the excited state $^3\text{P}_1$ in $\text{Ca}^{14+}$ ion to be $g = 1.499032(6)$ with a relative uncertainty of $4\times10^{-6}$. The magnetic field magnitude is derived from the Zeeman splitting of a $\text{Be}^+$ ion, co-trapped in the same linear Paul trap as the highly charged $\text{Ca}^{14+}$ ion. Furthermore, we experimentally determined the second-order Zeeman coefficient $C_2$ of the $^3\text{P}_0$ - $^3\text{P}_1$ clock transition. For the $m_J=0\rightarrow m_{J'}=0$ transition, we obtain $C_2 = 0.39\pm0.04\text{HzmT}^{-2}$, which is to our knowledge the smallest reported for any atomic transition to date. This confirms the predicted low sensitivity of highly charged ions to higher-order Zeeman effects, making them ideal candidates for high-precision optical clocks. Comparison of the experimental results with our state-of-the art electronic structure calculations shows good agreement, and demonstrates the significance of the frequency-dependent Breit contribution, negative energy states and QED effects on magnetic moments. |
| title | Excited-state magnetic properties of carbon-like $\text{Ca}^{14+}$ |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2502.18926 |