Paper
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
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Raw Data (Debug)
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"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>"
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