Denis Mishin, Dmitry Tregubov, Nikolay Kolachevsky, Artem Golovizin
{"title":"结合微波和光学光谱分析铥原子的超精细结构","authors":"Denis Mishin, Dmitry Tregubov, Nikolay Kolachevsky, Artem Golovizin","doi":"10.1103/physreva.110.032817","DOIUrl":null,"url":null,"abstract":"We present refined values of the hyperfine splitting frequencies of the ground <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mrow><mo>|</mo><mi>g</mi><mo>〉</mo></mrow><mo>=</mo><mrow><mrow><mo>|</mo></mrow><mrow><mn>4</mn><msup><mi>f</mi><mn>13</mn></msup><mrow><msup><mo>(</mo><mn>2</mn></msup><msup><mi>F</mi><mi>o</mi></msup><mo>)</mo></mrow><mn>6</mn><msup><mi>s</mi><mn>2</mn></msup><mo>,</mo><mi>J</mi><mo>=</mo><mn>7</mn><mo>/</mo><mn>2</mn></mrow><mrow><mo>〉</mo></mrow></mrow></mrow></math> and clock <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mrow><mo>|</mo><mi>c</mi><mo>〉</mo></mrow><mo>=</mo><mrow><mrow><mo>|</mo></mrow><mrow><mn>4</mn><msup><mi>f</mi><mn>13</mn></msup><mrow><msup><mo>(</mo><mn>2</mn></msup><msup><mi>F</mi><mi>o</mi></msup><mo>)</mo></mrow><mn>6</mn><msup><mi>s</mi><mn>2</mn></msup><mo>,</mo><mi>J</mi><mo>=</mo><mn>5</mn><mo>/</mo><mn>2</mn></mrow><mrow><mo>〉</mo></mrow></mrow></mrow></math> states of thulium atoms, <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msubsup><mi>f</mi><mrow><mi>g</mi></mrow><mtext>HFS</mtext></msubsup><mo>=</mo><mn>1</mn><mspace width=\"0.16em\"></mspace><mn>496</mn><mspace width=\"0.16em\"></mspace><mn>550</mn><mspace width=\"0.16em\"></mspace><mn>658.23</mn><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></math> Hz and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msubsup><mi>f</mi><mrow><mi>c</mi></mrow><mtext>HFS</mtext></msubsup><mo>=</mo><mn>2</mn><mspace width=\"0.16em\"></mspace><mn>113</mn><mspace width=\"0.16em\"></mspace><mn>946</mn><mspace width=\"0.16em\"></mspace><mn>873.08</mn><mrow><mo>(</mo><mn>9</mn><mo>)</mo></mrow></mrow></math> Hz, respectively. The measurements are performed on an ultracold atomic ensemble in an optical lattice using combined microwave and optical transition spectroscopy. The achieved measurement accuracy of less than 0.1 ppb represents an improvement of 2 and 7 orders of magnitude for <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msubsup><mi>f</mi><mrow><mi>g</mi></mrow><mtext>HFS</mtext></msubsup></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msubsup><mi>f</mi><mrow><mi>c</mi></mrow><mtext>HFS</mtext></msubsup></math>, respectively, compared to the previously published values. We also refine the value of the Landé <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>g</mi></math>-factor of the clock level to <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi>g</mi><mi>c</mi></msub><mo>=</mo><mn>0.854</mn><mspace width=\"0.16em\"></mspace><mn>786</mn><mrow><mo>(</mo><mn>12</mn><mo>)</mo></mrow></mrow></math>. The results of this work can be used in the frequency standards and quantum simulators based on thulium atoms being developed today, as well as in a number of fundamental studies that require precise knowledge of the hyperfine structure characteristics of various elements.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":"4 1","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Combined microwave and optical spectroscopy for hyperfine structure analysis in thulium atoms\",\"authors\":\"Denis Mishin, Dmitry Tregubov, Nikolay Kolachevsky, Artem Golovizin\",\"doi\":\"10.1103/physreva.110.032817\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present refined values of the hyperfine splitting frequencies of the ground <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mrow><mo>|</mo><mi>g</mi><mo>〉</mo></mrow><mo>=</mo><mrow><mrow><mo>|</mo></mrow><mrow><mn>4</mn><msup><mi>f</mi><mn>13</mn></msup><mrow><msup><mo>(</mo><mn>2</mn></msup><msup><mi>F</mi><mi>o</mi></msup><mo>)</mo></mrow><mn>6</mn><msup><mi>s</mi><mn>2</mn></msup><mo>,</mo><mi>J</mi><mo>=</mo><mn>7</mn><mo>/</mo><mn>2</mn></mrow><mrow><mo>〉</mo></mrow></mrow></mrow></math> and clock <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mrow><mo>|</mo><mi>c</mi><mo>〉</mo></mrow><mo>=</mo><mrow><mrow><mo>|</mo></mrow><mrow><mn>4</mn><msup><mi>f</mi><mn>13</mn></msup><mrow><msup><mo>(</mo><mn>2</mn></msup><msup><mi>F</mi><mi>o</mi></msup><mo>)</mo></mrow><mn>6</mn><msup><mi>s</mi><mn>2</mn></msup><mo>,</mo><mi>J</mi><mo>=</mo><mn>5</mn><mo>/</mo><mn>2</mn></mrow><mrow><mo>〉</mo></mrow></mrow></mrow></math> states of thulium atoms, <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><msubsup><mi>f</mi><mrow><mi>g</mi></mrow><mtext>HFS</mtext></msubsup><mo>=</mo><mn>1</mn><mspace width=\\\"0.16em\\\"></mspace><mn>496</mn><mspace width=\\\"0.16em\\\"></mspace><mn>550</mn><mspace width=\\\"0.16em\\\"></mspace><mn>658.23</mn><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></math> Hz and <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><msubsup><mi>f</mi><mrow><mi>c</mi></mrow><mtext>HFS</mtext></msubsup><mo>=</mo><mn>2</mn><mspace width=\\\"0.16em\\\"></mspace><mn>113</mn><mspace width=\\\"0.16em\\\"></mspace><mn>946</mn><mspace width=\\\"0.16em\\\"></mspace><mn>873.08</mn><mrow><mo>(</mo><mn>9</mn><mo>)</mo></mrow></mrow></math> Hz, respectively. The measurements are performed on an ultracold atomic ensemble in an optical lattice using combined microwave and optical transition spectroscopy. The achieved measurement accuracy of less than 0.1 ppb represents an improvement of 2 and 7 orders of magnitude for <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msubsup><mi>f</mi><mrow><mi>g</mi></mrow><mtext>HFS</mtext></msubsup></math> and <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msubsup><mi>f</mi><mrow><mi>c</mi></mrow><mtext>HFS</mtext></msubsup></math>, respectively, compared to the previously published values. We also refine the value of the Landé <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>g</mi></math>-factor of the clock level to <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><msub><mi>g</mi><mi>c</mi></msub><mo>=</mo><mn>0.854</mn><mspace width=\\\"0.16em\\\"></mspace><mn>786</mn><mrow><mo>(</mo><mn>12</mn><mo>)</mo></mrow></mrow></math>. The results of this work can be used in the frequency standards and quantum simulators based on thulium atoms being developed today, as well as in a number of fundamental studies that require precise knowledge of the hyperfine structure characteristics of various elements.\",\"PeriodicalId\":20146,\"journal\":{\"name\":\"Physical Review A\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2024-09-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physreva.110.032817\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review A","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physreva.110.032817","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Physics and Astronomy","Score":null,"Total":0}
Combined microwave and optical spectroscopy for hyperfine structure analysis in thulium atoms
We present refined values of the hyperfine splitting frequencies of the ground and clock states of thulium atoms, Hz and Hz, respectively. The measurements are performed on an ultracold atomic ensemble in an optical lattice using combined microwave and optical transition spectroscopy. The achieved measurement accuracy of less than 0.1 ppb represents an improvement of 2 and 7 orders of magnitude for and , respectively, compared to the previously published values. We also refine the value of the Landé -factor of the clock level to . The results of this work can be used in the frequency standards and quantum simulators based on thulium atoms being developed today, as well as in a number of fundamental studies that require precise knowledge of the hyperfine structure characteristics of various elements.
期刊介绍:
Physical Review A (PRA) publishes important developments in the rapidly evolving areas of atomic, molecular, and optical (AMO) physics, quantum information, and related fundamental concepts.
PRA covers atomic, molecular, and optical physics, foundations of quantum mechanics, and quantum information, including:
-Fundamental concepts
-Quantum information
-Atomic and molecular structure and dynamics; high-precision measurement
-Atomic and molecular collisions and interactions
-Atomic and molecular processes in external fields, including interactions with strong fields and short pulses
-Matter waves and collective properties of cold atoms and molecules
-Quantum optics, physics of lasers, nonlinear optics, and classical optics