H. N. Hausser, J. Keller, T. Nordmann, N. M. Bhatt, J. Kiethe, H. Liu, I. M. Richter, M. von Boehn, J. Rahm, S. Weyers, E. Benkler, B. Lipphardt, S. Dörscher, K. Stahl, J. Klose, C. Lisdat, M. Filzinger, N. Huntemann, E. Peik, T. E. Mehlstäubler
{"title":"In+115−Yb+172 Coulomb Crystal Clock with 2.5×10−18 Systematic Uncertainty","authors":"H. N. Hausser, J. Keller, T. Nordmann, N. M. Bhatt, J. Kiethe, H. Liu, I. M. Richter, M. von Boehn, J. Rahm, S. Weyers, E. Benkler, B. Lipphardt, S. Dörscher, K. Stahl, J. Klose, C. Lisdat, M. Filzinger, N. Huntemann, E. Peik, T. E. Mehlstäubler","doi":"10.1103/physrevlett.134.023201","DOIUrl":null,"url":null,"abstract":"We present a scalable mixed-species Coulomb crystal clock based on the S</a:mi></a:mrow>0</a:mn></a:mrow></a:msub></a:mrow>1</a:mn></a:mrow></a:mmultiscripts></a:mrow>↔</a:mo>P</a:mi></a:mrow>3</a:mn></a:mrow></a:mmultiscripts></a:mrow>0</a:mn></a:mrow></a:msub></a:mrow></a:math> transition in <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mrow><d:mmultiscripts><d:mrow><d:msup><d:mrow><d:mi>In</d:mi></d:mrow><d:mrow><d:mo>+</d:mo></d:mrow></d:msup></d:mrow><d:mprescripts/><d:none/><d:mrow><d:mn>115</d:mn></d:mrow></d:mmultiscripts></d:mrow></d:math>. <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mrow><f:mmultiscripts><f:mrow><f:msup><f:mrow><f:mi>Yb</f:mi></f:mrow><f:mrow><f:mo>+</f:mo></f:mrow></f:msup></f:mrow><f:mprescripts/><f:none/><f:mrow><f:mn>172</f:mn></f:mrow></f:mmultiscripts></f:mrow></f:math> ions are cotrapped and used for sympathetic cooling. Reproducible interrogation conditions for mixed-species Coulomb crystals are ensured by a conditional preparation sequence with permutation control. We demonstrate clock operation with a <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mrow><h:mn>1</h:mn><h:msup><h:mrow><h:mi>In</h:mi></h:mrow><h:mrow><h:mo>+</h:mo></h:mrow></h:msup><h:mtext>−</h:mtext><h:mn>3</h:mn><h:msup><h:mrow><h:mi>Yb</h:mi></h:mrow><h:mrow><h:mo>+</h:mo></h:mrow></h:msup></h:mrow></h:math> crystal, achieving a relative systematic uncertainty of <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:mn>2.5</j:mn><j:mo>×</j:mo><j:msup><j:mn>10</j:mn><j:mrow><j:mo>−</j:mo><j:mn>18</j:mn></j:mrow></j:msup></j:math> and a relative frequency instability of <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:mrow><l:mn>1.6</l:mn><l:mo>×</l:mo><l:msup><l:mrow><l:mn>10</l:mn></l:mrow><l:mrow><l:mo>−</l:mo><l:mn>15</l:mn></l:mrow></l:msup><l:mo>/</l:mo><l:msqrt><l:mrow><l:mi>τ</l:mi><l:mo>/</l:mo><l:mn>1</l:mn><l:mtext> </l:mtext><l:mtext> </l:mtext><l:mi mathvariant=\"normal\">s</l:mi></l:mrow></l:msqrt></l:mrow></l:math>. We report on absolute frequency measurements with an uncertainty of <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mn>1.3</o:mn><o:mo>×</o:mo><o:msup><o:mn>10</o:mn><o:mrow><o:mo>−</o:mo><o:mn>16</o:mn></o:mrow></o:msup></o:math> and optical frequency comparisons with clocks based on <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:mrow><q:mmultiscripts><q:mrow><q:msup><q:mrow><q:mi>Yb</q:mi></q:mrow><q:mrow><q:mo>+</q:mo></q:mrow></q:msup></q:mrow><q:mprescripts/><q:none/><q:mrow><q:mn>171</q:mn></q:mrow></q:mmultiscripts></q:mrow></q:math> (<s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mi>E</s:mi><s:mn>3</s:mn></s:math>) and <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:mrow><u:mmultiscripts><u:mrow><u:mi>Sr</u:mi></u:mrow><u:mprescripts/><u:none/><u:mrow><u:mn>87</u:mn></u:mrow></u:mmultiscripts></u:mrow></u:math>. With a fractional uncertainty of <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:mn>4.4</w:mn><w:mo>×</w:mo><w:msup><w:mn>10</w:mn><w:mrow><w:mo>−</w:mo><w:mn>18</w:mn></w:mrow></w:msup></w:math>, the former is—to our knowledge—the most accurate frequency ratio value reported to date. For the <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:mrow><y:mrow><y:mmultiscripts><y:mrow><y:msup><y:mrow><y:mi>In</y:mi></y:mrow><y:mrow><y:mo>+</y:mo></y:mrow></y:msup></y:mrow><y:mprescripts/><y:none/><y:mrow><y:mn>115</y:mn></y:mrow></y:mmultiscripts></y:mrow><y:mo>/</y:mo><y:mrow><y:mmultiscripts><y:mrow><y:mi>Sr</y:mi></y:mrow><y:mprescripts/><y:none/><y:mrow><y:mn>87</y:mn></y:mrow></y:mmultiscripts></y:mrow></y:mrow></y:math> ratio, we improve upon the best previous measurement by more than an order of magnitude. We also demonstrate operation with four In</ab:mi></ab:mrow>+</ab:mo></ab:mrow></ab:msup></ab:mrow>115</ab:mn></ab:mrow></ab:mmultiscripts></ab:mrow></ab:math> clock ions, which reduces the instability to <cb:math xmlns:cb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><cb:mrow><cb:mn>9.2</cb:mn><cb:mo>×</cb:mo><cb:msup><cb:mrow><cb:mn>10</cb:mn></cb:mrow><cb:mrow><cb:mo>−</cb:mo><cb:mn>16</cb:mn></cb:mrow></cb:msup><cb:mo>/</cb:mo><cb:msqrt><cb:mrow><cb:mi>τ</cb:mi><cb:mo>/</cb:mo><cb:mn>1</cb:mn><cb:mtext> </cb:mtext><cb:mtext> </cb:mtext><cb:mi mathvariant=\"normal\">s</cb:mi></cb:mrow></cb:msqrt></cb:mrow></cb:math>. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20069,"journal":{"name":"Physical review letters","volume":"30 1","pages":""},"PeriodicalIF":8.1000,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical review letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevlett.134.023201","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
We present a scalable mixed-species Coulomb crystal clock based on the S01↔P30 transition in In+115. Yb+172 ions are cotrapped and used for sympathetic cooling. Reproducible interrogation conditions for mixed-species Coulomb crystals are ensured by a conditional preparation sequence with permutation control. We demonstrate clock operation with a 1In+−3Yb+ crystal, achieving a relative systematic uncertainty of 2.5×10−18 and a relative frequency instability of 1.6×10−15/τ/1s. We report on absolute frequency measurements with an uncertainty of 1.3×10−16 and optical frequency comparisons with clocks based on Yb+171 (E3) and Sr87. With a fractional uncertainty of 4.4×10−18, the former is—to our knowledge—the most accurate frequency ratio value reported to date. For the In+115/Sr87 ratio, we improve upon the best previous measurement by more than an order of magnitude. We also demonstrate operation with four In+115 clock ions, which reduces the instability to 9.2×10−16/τ/1s. Published by the American Physical Society2025
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