Research

Paper

TESTING March 11, 2026

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

Authors

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

Abstract

The differential scalar polarizability $Δα_0(ω)$ 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 $\langle P_{3/2}\|r\|S_{1/2}\rangle/\langle P_{1/2}\|r\|S_{1/2}\rangle=1.411\,81(13)$, 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 $Δα_0(ω)$, valid for frequencies up to 450\,THz, with only one reduced matrix element, $\langle P_{1/2}\|r\|S_{1/2}\rangle$, 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.

Metadata

arXiv ID: 2603.10740
Provider: ARXIV
Primary Category: physics.atom-ph
Published: 2026-03-11
Fetched: 2026-03-12 04:21

Related papers

Raw Data (Debug)
{
  "raw_xml": "<entry>\n    <id>http://arxiv.org/abs/2603.10740v1</id>\n    <title>Zero crossings of the differential scalar polarizability of Ba$^+$ clock transition</title>\n    <updated>2026-03-11T13:14:39Z</updated>\n    <link href='https://arxiv.org/abs/2603.10740v1' rel='alternate' type='text/html'/>\n    <link href='https://arxiv.org/pdf/2603.10740v1' rel='related' title='pdf' type='application/pdf'/>\n    <summary>The differential scalar polarizability $Δα_0(ω)$ 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 $\\langle P_{3/2}\\|r\\|S_{1/2}\\rangle/\\langle P_{1/2}\\|r\\|S_{1/2}\\rangle=1.411\\,81(13)$, 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 $Δα_0(ω)$, valid for frequencies up to 450\\,THz, with only one reduced matrix element, $\\langle P_{1/2}\\|r\\|S_{1/2}\\rangle$, 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.</summary>\n    <category scheme='http://arxiv.org/schemas/atom' term='physics.atom-ph'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='quant-ph'/>\n    <published>2026-03-11T13:14:39Z</published>\n    <arxiv:comment>8 pages, 5 figures</arxiv:comment>\n    <arxiv:primary_category term='physics.atom-ph'/>\n    <author>\n      <name>N Jayjong</name>\n    </author>\n    <author>\n      <name>M D K Lee</name>\n    </author>\n    <author>\n      <name>K J Arnold</name>\n    </author>\n    <author>\n      <name>M D Barrett</name>\n    </author>\n  </entry>"
}