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The frequency shift caused by blackbody radiation is one of the dominant corrections to the evaluation of the optical lattice clock. The frequency shift of blackbody radiation is closely related to the dynamic and static correction factor, ambient temperature and atomic polarizability. The blackbody radiation shift is mainly affected by ambient temperature. During the normal operation of the strontium atom optical lattice clock, the experimental environment and other heat sources around the vacuum cavity have complicated the environment around the vacuum cavity, resulting in the fact that the external surface temperature of the vacuum cavity does not truly reflect the temperature change of the vacuum cavity. For the strontium atomic optical clock experimental apparatus of the National Time Service Center, the uncertainty and correctionof the blackbody radiation frequency shift are evaluated by the theoretical analysis, measurement of the temperature of the vacuum cavity outer surface, and software simulation. Among them, the frequency shift of black body radiation caused by strontium atom furnace, sapphire heating window, room temperature radiation entering into the vacuum cavity through the window plate, and the thermal radiation at the atomic group caused by Zeeman reducer are analyzed. Five temperature measuring points are set on the external surface of the vacuum chamber, and the temperature changes on the external surface of the vacuum chamber are monitored in real time by using the calibrated platinum resistance temperature sensor while the system is running normally. We obtain the average temperature of the five temperature measuring points. The model of vacuum cavity is established by using the SolidWorks. The method of finite element analysis is used to simulate the variation of the temperature around atom samples. We also obtain the temperature distribution around the atomic groups in the vacuum cavity. The result shows that the temperature around atoms varies with the temperature of the vacuum cavity. When the temperature of the ambient temperature changes 0.72 K, the fluctuation of the temperature around the atoms is 0.34 K. Finally, the total correction of blackbody radiation of the system is evaluated to be –2.13(1) Hz, and the correction uncertainty is about 2.4 × 10–17.
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Keywords:
- strontium optical lattice clock /
- thermal radiation /
- blackbody radiation shift /
- finite element analysis
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图 1 实验装置
Figure 1. Experimental apparatus.
图 2 一维光晶格
Figure 2. Image of the one-dimensional optical lattice.
图 3 87Sr原子钟跃迁谱线
Figure 3. Spectra of the 87Sr clock transition.
图 4 吸收系数对频移的影响
Figure 4. Effect of the absorption coefficient on frequency shift.
图 5 测温点的分布
Figure 5. Distribution of the temperature points.
图 6 测温点的温度波动
Figure 6. Temperature fluctuations at the temperature points.
图 7 网格划分结果
Figure 7. Result of meshing.
图 8 真空腔体内部温度分布
Figure 8. Distribution of the internal temperature of the vacuum chamber.
表 1 不同热源对应的频移修正量
Table 1. Frequency shift correction for different heat sources.
热源 频移修正量 室温 –0.0172(2) Hz 原子炉 –0.0031(4) Hz 蓝宝石加热窗口 –0.0013(1) Hz Zeeman减速窗口 –0.00027(4) Hz 
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[1] Derevianko A, Katori H 2011 Rev. Mod. Phys. 83 331
Google Scholar
[2] Bloom B J, Nicholson T L, Williams J R, Campbell S L, Bishof M, Zhang X, Zhang W, Bromley S L, Ye J 2014 Nature 506 71
Google Scholar
[3] Hinkley N, Sherman J A, Phillips N B, Schioppo M, Lemke N D, Beloy K, Pizzocaro M, Oates C W, Ludlow A D 2013 Science 341 1215
Google Scholar
[4] Nicholson T L, Campbell S L, Hutson R B, Marti G E, Bloom B J, McNally R L, Zhang W, Barrett M D, Safronova M S, Strouse G F, Tew W L, Ye J 2015 Nat. Commun. 6 6896
Google Scholar
[5] Ushijima I, Takamoto M, Das M, Ohkubo T, Katori H 2015 Nat. Photon. 9 185
Google Scholar
[6] Campbell S L, Hutson R B, Marti G E, Goban A, Oppong N D, Mcally R L, Sonderhouse L, Robinson J M, Zhang W, Bloom B J, Ye J 2017 Science 358 90
Google Scholar
[7] McGrew W F, Zhang X, Fasano1 R J, Schäffer S A , Beloy K, Nicolodi D, Brown R C, Hinkley N, Milani G, Schioppo M, Yoon T H, Ludlow A D 2018 Nature 564 87
Google Scholar
[8] Derevianko A, Pospelov M 2014 Nat. Phys. 10 933
Google Scholar
[9] Kolkowitz S, Pikovski I, Langellier N, Lukin M D, Walsworth R L, Ye J 2016 Phys. Rev. D 94 124043
Google Scholar
[10] Blatt S, Ludlow A D, Campbell G K, Thomsen J W, Zelevinsky T, Boyd M M, Ye J, Baillard X, Fouché M, Le Targat R, Brusch A, Lemonde P, Takamoto M, Hong F L, Katori H, Flambaum V V 2008 Phys. Rev. Lett. 100 140801
Google Scholar
[11] Godun R M, Nisbet-Jones P B R, Jones J M, King S A, Johnson L A M, Margolis H S, Szymaniec K, Lea S N, Bongs K, Gill P 2014 Phys. Rev. Lett. 113 210801
Google Scholar
[12] Huntemann N, Lipphardt B, Tamm C, Gerginov V, Weyers S, Peik E 2014 Phys. Rev. Lett. 113 210802
Google Scholar
[13] Ludlow A D, Boyd M M, Ye J, Peik E, Schmidt P O 2015 Rev. Mod. Phys. 87 637
Google Scholar
[14] Yudin V I, Taichenachev A V, Okhapkin M V, Bagayev S N, Tamm C, Peik E, Huntemann N, Mehlstäubler T E, Riehle F 2011 Phys. Rev. Lett. 107 030801
Google Scholar
[15] Beloy K, Hinkley N, Phillips N B, Sherman J A, Schioppo M, Lehman J, FeldmanA, Hanssen L M, Oates C W, Ludlow A D 2014 Phys. Rev. Lett. 113 260801
Google Scholar
[16] Wang Y B, Yin M J, Ren J, Xu Q F, Lu B Q, Han J X, Guo Y, Chang H 2018 Chin. Phys. B 27 023701
Google Scholar
[17] Wang Y B, Lu X T, Lu B Q, Kong D H, Chang H 2018 Appl. Sci. 8 2194
Google Scholar
[18] Itano W M, Lewis L L, Wineland D J 1982 Phys. Rev. A 25 1233
Google Scholar
[19] Hollberg L, Hall J L 1984 Phys. Rev. Lett. 53 230
Google Scholar
[20] Porsev S G, Derevianko A 2006 Phys. Rev. A 74 020502
Google Scholar
[21] Safronova M S, Porsev S G, Safronova U I, Kozlov M G, Clark C W 2013 Phys. Rev. A 87 012509
Google Scholar
[22] Middelmann T, Lisdat C, Falke S, Winfred J S R V, Riehle F, Sterr U 2011 IEEE Trans. Instrum. Meas. 60 2550
Google Scholar
[23] Middelmann T, Falke S, Lisdat C, Sterr U 2012 Phys. Rev. Lett. 109 263004
Google Scholar
[24] Falke S, Lemke N, Grebing C, Lipphardt B, Weyers S, Gerginov V, Huntemann N, Hagemann C, Al-Masoudi A, Häfner S, Vogt S, Sterr U, Lisdat C 2014 New J. Phys. 16 073023
Google Scholar
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