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Quantum Chemistry

Zero crossings of the differential scalar polarizability of Ba^+ clock transition

arXiv

Authors: N Jayjong, M D K Lee, K J Arnold, M D Barrett

Year

2026

Paper ID

28472

Status

Preprint

Abstract Read

~2 min

Abstract Words

122

Citations

N/A

Abstract

The differential scalar polarizability Δα₀(ω) of the Ba^+ S_1/2-to-D_5/2 clock transition has a zero crossing near 481nm, which is measured to be 623.603\,13(17)\,THz. From this measurement, we infer a ratio of reduced matrix elements langle P_3/2\|r\|S_1/2rangle/langle P_1/2\|r\|S_1/2rangle=1.411 81(13), which provides a stringent test of atomic structure calculations and experimental determination of matrix elements. Additionally, it enables the construction of an accurate approximation to Δα₀(ω), valid for frequencies up to 450\,THz, with only one reduced matrix element, langle P_1/2\|r\|S_1/2rangle, appearing in the model's parameterization. We discuss the achievable accuracy of the model, the application to the assessment of blackbody radiation (BBR) shifts in ion-based clocks, and the applicability of the approach to other alkaline-earth ions.

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This paper contributes to the Quantum Chemistry research area in the Quantum Articles archive.
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The differential scalar polarizability Δα0(ω) of the Ba^+ S1/2-to-D5/2 clock transition has a zero crossing near 481nm, which is measured to be 623.603,13(17),THz.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.10740 [2] arXiv https://arxiv.org/abs/2603.10740 [3] Publisher https://arxiv.org/abs/2603.10740

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