Laboratory demonstration of geopotential measurement using transportable optical clocks

doi:10.1088/1674-1056/ac6337

中国物理B ›› 2023, Vol. 32 ›› Issue (1): 10601-010601.doi: 10.1088/1674-1056/ac6337

Laboratory demonstration of geopotential measurement using transportable optical clocks

Dao-Xin Liu(刘道信)^1,2,3, Jian Cao(曹健)^1,2,†, Jin-Bo Yuan(袁金波)^1,2, Kai-Feng Cui(崔凯枫)^1,2, Yi Yuan(袁易)^1,2,3, Ping Zhang(张平)^1,2,3, Si-Jia Chao(晁思嘉)^1,2, Hua-Lin Shu(舒华林)^1,2, and Xue-Ren Huang(黄学人)^1,2,4,‡

1 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
2 Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
3 University of the Chinese Academy of Sciences, Beijing 100049, China;
4 Wuhan Institute of Quantum Technology, Wuhan 430206, China

收稿日期:2022-01-26 修回日期:2022-03-29 接受日期:2022-04-01 出版日期:2022-12-08 发布日期:2022-12-08
通讯作者: Jian Cao, Xue-Ren Huang E-mail:caojian@apm.ac.cn;hxueren@apm.ac.cn
基金资助:
Project supported by the Basic Frontier Science Research Program of Chinese Academy of Sciences (Grant No. ZDBS-LY-DQC028), the National Key Research and Development Program of China (Grant No. 2017YFA0304404), and the National Natural Science Foundation of China (Grant No. 11674357).

Laboratory demonstration of geopotential measurement using transportable optical clocks

1 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
2 Key Laboratory of Atomic Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
3 University of the Chinese Academy of Sciences, Beijing 100049, China;
4 Wuhan Institute of Quantum Technology, Wuhan 430206, China

Received:2022-01-26 Revised:2022-03-29 Accepted:2022-04-01 Online:2022-12-08 Published:2022-12-08
Contact: Jian Cao, Xue-Ren Huang E-mail:caojian@apm.ac.cn;hxueren@apm.ac.cn
Supported by:
Project supported by the Basic Frontier Science Research Program of Chinese Academy of Sciences (Grant No. ZDBS-LY-DQC028), the National Key Research and Development Program of China (Grant No. 2017YFA0304404), and the National Natural Science Foundation of China (Grant No. 11674357).

摘要/Abstract

摘要： We report an experimental demonstration of geopotential difference measurement using a pair of transportable $^{40}$Ca$^{+}$ optical clocks (TOC-729-1 and TOC-729-3) in the laboratory, each of them has an uncertainty of $1.3 \times 10^{-17}$ and an instability of $4.8 \times 10^{-15}/\sqrt{ \tau } $. Referenced to a stationary clock of TOC-729-1, the geopotential difference measurements are realized by moving TOC-729-3 to three different locations and the relevant altitude differences are measured with uncertainties at the level of 20 cm. After correcting the systematic shifts (including gravitational red shift), the two-clock frequency difference is measured to be $-0.7(2.2) \times 10^{-17}$, considering both the statistic $(1.0 \times 10^{-17})$ and the systematic $(1.9 \times 10^{-17})$ uncertainties. The frequency difference between these two clocks is within their respective uncertainties, verifying the reliability of transportable $^{40}$Ca$^{+}$ optical clocks at the low level of 10$^{-17}$.

关键词: geopotential difference measurement, transportable optical clock, repeatability evaluation of clocks

Abstract: We report an experimental demonstration of geopotential difference measurement using a pair of transportable $^{40}$Ca$^{+}$ optical clocks (TOC-729-1 and TOC-729-3) in the laboratory, each of them has an uncertainty of $1.3 \times 10^{-17}$ and an instability of $4.8 \times 10^{-15}/\sqrt{ \tau } $. Referenced to a stationary clock of TOC-729-1, the geopotential difference measurements are realized by moving TOC-729-3 to three different locations and the relevant altitude differences are measured with uncertainties at the level of 20 cm. After correcting the systematic shifts (including gravitational red shift), the two-clock frequency difference is measured to be $-0.7(2.2) \times 10^{-17}$, considering both the statistic $(1.0 \times 10^{-17})$ and the systematic $(1.9 \times 10^{-17})$ uncertainties. The frequency difference between these two clocks is within their respective uncertainties, verifying the reliability of transportable $^{40}$Ca$^{+}$ optical clocks at the low level of 10$^{-17}$.

Key words: geopotential difference measurement, transportable optical clock, repeatability evaluation of clocks

中图分类号: (Time and frequency)

06.30.Ft

37.10.Ty (Ion trapping) 37.10.Rs (Ion cooling) 04.20.-q (Classical general relativity)

Dao-Xin Liu(刘道信), Jian Cao(曹健), Jin-Bo Yuan(袁金波), Kai-Feng Cui(崔凯枫), Yi Yuan(袁易),Ping Zhang(张平), Si-Jia Chao(晁思嘉), Hua-Lin Shu(舒华林), and Xue-Ren Huang(黄学人). Laboratory demonstration of geopotential measurement using transportable optical clocks[J]. 中国物理B, 2023, 32(1): 10601-010601.

参考文献

[1] Brewer S M, Chen J S, Hankin A M, Clements E R, Chou C W, Wineland D J, Hume D B and Leibrandt D R 2019 Phys. Rev. Lett. 123 033201
[2] Huntemann N, Sanner C, Lipphardt B, Tamm Chr and Peik E 2016 Phys. Rev. Lett. 116 063001
[3] McGrew W F, Zhang X, Fasano R J, Schäffer S A, Beloy K, Nicolodi D, Brown R C, Hinkley N, Milani G, Schioppo M, Yoon T H and Ludlow A D 2018 Nature 564 87
[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 and Ye J 2015 Nat. Commun. 6 6896
[5] Oelker E, Hutson R B, Kennedy C J, Sonderhouse L, Bothwell T, Goban A, Kedar D, Sanner C, Robinson J M, Marti G E, Matei D G, Legero T, Giunta M, Holzwarth R, Riehle F, Sterr U and Ye J 2019 Nat. Photon. 13 714
[6] Riehle F, Gill P, Arias F and Robertsson L 2018 Metrologia 55 188
[7] McGrew W F, Zhang X, Leopardi H, Fasano R J, Nicolodi D, Beloy K, Yao J, Sherman J A, Schäfer S A, Savory J, Brown R C, Römisch S, Oates C W, Parker T E, Fortier T M and Ludlow A D 2019 Optica 6 448
[8] Lisdat C, Grosche G and Quintin N 2016 Nat. Commun. 7 12443
[9] Chou C W, Hume D B, Rosenband T and Wineland D J 2010 Science 329 1630
[10] 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 and Gill P 2014 Phys. Rev. Lett. 113 210801
[11] Huntemann N, Lipphardt B, Tamm Chr, Gerginov V, Weyers S and Peik E 2014 Phys. Rev. Lett. 113 210802
[12] Rosenband T, Hume D B, Schmidt P O, Chou C W, Brusch A, Lorini L, Oskay W H, Drullinger R E, Fortier T M, Stalnaker J E, Diddams S A, Swann W C, Newbury N R, Itano W M, Wineland D J and Bergquist J C 2008 Science 319 1808
[13] Delva P, Lodewyck J, Bilicki S, Bookjans E, Rolland A, Baynes F N, Margolis H S and Gill P 2017 Phys. Rev. Lett. 118 221102
[14] Arvanitaki A, Huang J and Van Tilburg K 2015 Phys. Rev. D 91 015015
[15] Derevianko A and Pospelov M 2014 Nat. Phys. 10 933
[16] Dix-Matthews B P, Schediwy S W, Gozzard D R, Savalle E, Esnault F X, Lévéque T, Gravestock C, D'Mello D, Karpathakis S, Tobar M and Wolf P 2021 Nat. Commun. 12 515
[17] Kang H J, Yang J, Chun B J, Jang H, Kim B S, Kim Y J and Kim S W 2019 Nat. Commun. 10 4438
[18] Shen Q, Guan J Y, Zeng T, Lu Q M, Huang L, Cao Y, Chen J P, Tao T Q, Wu J C, Hou L, Liao S K, Ren J G, Yin J, Jia J J, Jiang H F, Peng C Z, Zhang Q and Pan J W 2021 Optica 8 471
[19] Takano T, Takamoto M, Ushijima I, Ohmae N, Akatsuka T, Yamaguchi A, Kuroishi Y, Munekane H, Miyahara B and Katori H 2016 Nat. Photon. 10 662
[20] Bothwell T, Kennedy C J, Aeppli A, Kedar D, Robinson J M, Oelker E, Staron A and Ye J 2022 Nature 602 420
[21] Mehlstäubler T E, Grosche G, Lisdat C, Schmidt P O and Denker H 2018 Rep. Prog. Phys. 81 064401
[22] Grotti J, Koller S, Vogt S, et al. 2018 Nat. Phys. 14 437
[23] Takamoto M, Ushijima I, Ohmae N, Yahagi T, Kokado K, Shinkai H and Katori H 2020 Nat. Photon. 14 411
[24] Cao J, Zhang P, Shang J, Cui K, Yuan J, Chao S, Wang S, Shu H and Huang X 2017 Appl. Phys. B 123 1
[25] Huang Y, Zhang H, Zhang B, Hao Y, Guan H, Zeng M, Chen Q, Lin Y, Wang Y, Cao S, Liang K, Fang F, Fang Z, Li T and Gao K 2020 Phys. Rev. A 102 050802
[26] Stuhler J, Abdel Hafiz M, Arar B, Bawamia A, et al. 2021 Meas. Sens. 18 100264
[27] Abbasov T, Makarenko K, Sherstov I, Axenov M, Zalivako I, Semerikov I, Borisenko A, Khabarova K, Kolachevsky N, Chepurov S, Taichenachev A, Bagaev S and Tausenev A 2020 arXiv: 2010.15244
[28] Cao J, Yuan J, Wang S, Zhang P, Yuan Y, Liu D, Cui K, Chao S, Shu H, Lin Y, Cao S, Wang Y, Fang Z, Fang F, Li T and Huang X 2022 Appl. Phys. Lett. 120 054003
[29] Huang Y, Guan H, Zeng M, Tang L and Gao K 2019 Phys. Rev. A 99 011401
[30] Shang J, Cao J, Cui K, Wang S, Zhang P, Yuan J, Chao S, Shu H and Huang X 2017 Opt. Commun. 382 410
[31] Hendricks R J, Grant D M, Herskind P F, Dantan A and Drewsen M 2007 Appl. Phys. B 88 507
[32] Ibaraki Y, Tanaka U and Urabe S 2011 Appl. Phys. B 105 219
[33] Roos C F, Chwalla M, Kim K, Riebe M and Blatt R 2006 Nature 443 316
[34] Huang P W, Tang B, Chen X, Zhong J Q, Xiong Z Y, Zhou L, Wang J and Zhan M S 2019 Metrologia 56 045012
[35] Smarr L L, Vessot R F C, Lundquist C A, Decher R and Piran T 1983 Gen. Relativ. Gravit. 15 129
[36] Ludlow A D, Boyd M M, Ye J, Peik E and Schmidt P O 2015 Rev. Mod. Phys. 87 637
[37] Zhang P, Cao J, Yuan J, Liu D, Yuan Y, Wei Y, Shu H and Huang X 2021 Metrologia 58 035001
[38] Dubé P, Madej A A, Bernard J E, Marmet L, Boulanger J S and Cundy S 2005 Phys. Rev. Lett. 95 033001
[39] Yuan J B, Cao J, Cui K F, Liu D X, Yuan Y, Chao S J, Shu H L and Huang X R 2021 Chin. Phys. B 30 070305
[40] Clements E R, Kim M E, Cui K, Hankin A M, Brewer S M, Valencia J, Chen J S, Chou C W, Leibrandt D R and Hume D B 2020 Phys. Rev. Lett. 125 243602

Laboratory demonstration of geopotential measurement using transportable optical clocks

Laboratory demonstration of geopotential measurement using transportable optical clocks

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