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Excited-State Magnetic Properties of Carbon-like Ca14+

Lukas J. Spieß1, Shuying Chen1,*, Alexander Wilzewski1, Malte Wehrheim1, Jan Gilles1,2, Andrey Surzhykov1,2, Erik Benkler1, Melina Filzinger1, Martin Steinel1 et al.

Nils Huntemann1, Charles Cheung3, Sergey G. Porsev3, Andrey I. Bondarev4,5, Marianna S. Safronova3, José R. Crespo López-Urrutia6, and Piet O. Schmidt1,7,†

  • *Contact author: shuying.chen@quantummetrology.de
  • †Contact author: piet.schmidt@quantummetrology.de
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Phys. Rev. Lett. 135, 043002 – Published 22 July, 2025

DOI: https://doi.org/10.1103/p88p-brnx

Abstract

We measured the g-factor of the excited-state P13 in Ca14+ ion to be g=1.499032(6) with a relative uncertainty of 4×10−6. The magnetic field magnitude is derived from the Zeeman splitting of a Be+ ion, cotrapped in the same linear Paul trap as the highly charged Ca14+ ion. Furthermore, we experimentally determined the second-order Zeeman coefficient C2 of the P03−P13 clock transition. For the mJ=0→mJ′=0 transition, we obtained C2=0.39±0.04  Hz mT−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.

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Phys. Rev. Lett. 135, 043002– Published 22 July, 2025
  • Received 1 March 2025
  • Revised 9 May 2025
  • Accepted 13 June 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

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