Please wait a minute...
Chin. Phys. B, 2023, Vol. 32(1): 010601    DOI: 10.1088/1674-1056/ac6337
GENERAL Prev   Next  

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
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$^{-17}$.
Keywords:  geopotential difference measurement      transportable optical clock      repeatability evaluation of clocks  
Received:  26 January 2022      Revised:  29 March 2022      Accepted manuscript online:  01 April 2022
PACS:  06.30.Ft (Time and frequency)  
  37.10.Ty (Ion trapping)  
  37.10.Rs (Ion cooling)  
  04.20.-q (Classical general relativity)  
Fund: 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).
Corresponding Authors:  Jian Cao, Xue-Ren Huang     E-mail:  caojian@apm.ac.cn;hxueren@apm.ac.cn

Cite this article: 

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 2023 Chin. Phys. B 32 010601

[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
[1] Precise measurement of 171Yb magnetic constants for 1S03P0 clock transition
Ang Zhang(张昂), Congcong Tian(田聪聪), Qiang Zhu(朱强), Bing Wang(王兵), Dezhi Xiong(熊德智), Zhuanxian Xiong(熊转贤), Lingxiang He(贺凌翔), and Baolong Lyu(吕宝龙). Chin. Phys. B, 2023, 32(2): 020601.
[2] Data encryption based on a 9D complex chaotic system with quaternion for smart grid
Fangfang Zhang(张芳芳), Zhe Huang(黄哲), Lei Kou(寇磊), Yang Li(李扬), Maoyong Cao(曹茂永), and Fengying Ma(马凤英). Chin. Phys. B, 2023, 32(1): 010502.
[3] Effective sideband cooling in an ytterbium optical lattice clock
Jin-Qi Wang(王进起), Ang Zhang(张昂), Cong-Cong Tian(田聪聪), Ni Yin(殷妮), Qiang Zhu(朱强), Bing Wang(王兵), Zhuan-Xian Xiong(熊转贤), Ling-Xiang He(贺凌翔), and Bao-Long Lv(吕宝龙). Chin. Phys. B, 2022, 31(9): 090601.
[4] Enhanced cold mercury atom production with two-dimensional magneto-optical trap
Ye Zhang(张晔), Qi-Xin Liu(刘琪鑫), Jian-Fang Sun(孙剑芳), Zhen Xu(徐震), and Yu-Zhu Wang(王育竹). Chin. Phys. B, 2022, 31(7): 073701.
[5] Precise determination of characteristic laser frequencies by an Er-doped fiber optical frequency comb
Shiying Cao(曹士英), Yi Han(韩羿), Yongjin Ding(丁永今), Baike Lin(林百科), and Zhanjun Fang(方占军). Chin. Phys. B, 2022, 31(7): 074207.
[6] Instantaneous frequency measurement using two parallel I/Q modulators based on optical power monitoring
Chuangye Wang(王创业), Tigang Ning(宁提纲), Jing Li(李晶), Li Pei(裴丽), Jingjing Zheng(郑晶晶), and Jingchuan Zhang(张景川). Chin. Phys. B, 2022, 31(1): 010702.
[7] Real-time frequency transfer system over ground-to-satellite link based on carrier-phase compensation at 10-16 level
Hui-Jian Liang(梁慧剑), Shi-Guang Wang(王时光), Yu Bai(白钰), Si-Chen Sun(孙思忱), and Li-Jun Wang(王力军). Chin. Phys. B, 2021, 30(8): 080601.
[8] Optical state selection process with optical pumping in a cesium atomic fountain clock
Lei Han(韩蕾), Fang Fang(房芳), Wei-Liang Chen(陈伟亮), Kun Liu(刘昆), Ya-Ni Zuo(左娅妮), Fa-Song Zheng(郑发松), Shao-Yang Dai(戴少阳), and Tian-Chu Li(李天初). Chin. Phys. B, 2021, 30(8): 080602.
[9] An effective pumping method for increasing atomic utilization in a compact cold atom clock
Xin-Chuan Ouyang(欧阳鑫川), Bo-Wen Yang(杨博文), Jian-Liao Deng(邓见辽), Jin-Yin Wan(万金银), Ling Xiao(肖玲), Hang-Hang Qi(亓航航), Qing-Qing Hu(胡青青), and Hua-Dong Cheng(成华东). Chin. Phys. B, 2021, 30(8): 083202.
[10] Evaluation of second-order Zeeman frequency shift in NTSC-F2
Jun-Ru Shi(施俊如), Xin-Liang Wang(王心亮), Yang Bai(白杨), Fan Yang(杨帆), Yong Guan(管勇), Dan-Dan Liu(刘丹丹), Jun Ruan(阮军), and Shou-Gang Zhang(张首刚). Chin. Phys. B, 2021, 30(7): 070601.
[11] Suppression of servo error uncertainty to 10-18 level using double integrator algorithm in ion optical clock
Jin-Bo Yuan(袁金波), Jian Cao(曹健), Kai-Feng Cui(崔凯枫), Dao-Xin Liu(刘道信), Yi Yuan(袁易), Si-Jia Chao(晁思嘉), Hua-Lin Shu(舒华林), and Xue-Ren Huang(黄学人). Chin. Phys. B, 2021, 30(7): 070305.
[12] Improvement of the short-term stability of atomic fountain clock with state preparation by two-laser optical pumping
Lei Han(韩蕾), Fang Fang(房芳), Wei-Liang Chen(陈伟亮), Kun Liu(刘昆), Shao-Yang Dai(戴少阳), Ya-Ni Zuo(左娅妮), and Tian-Chu Li(李天初). Chin. Phys. B, 2021, 30(5): 050602.
[13] Study of optical clocks based on ultracold 171Yb atoms
Di Ai(艾迪), Hao Qiao(谯皓), Shuang Zhang(张爽), Li-Meng Luo(骆莉梦), Chang-Yue Sun(孙常越), Sheng Zhang(张胜), Cheng-Quan Peng(彭成权), Qi-Chao Qi(齐启超), Tao-Yun Jin(金涛韫), Min Zhou(周敏), Xin-Ye Xu(徐信业). Chin. Phys. B, 2020, 29(9): 090601.
[14] A transportable optical lattice clock at the National Time Service Center
De-Huan Kong(孔德欢), Zhi-Hui Wang(王志辉), Feng Guo(郭峰), Qiang Zhang(张强), Xiao-Tong Lu(卢晓同), Ye-Bing Wang(王叶兵), Hong Chang(常宏). Chin. Phys. B, 2020, 29(7): 070602.
[15] Microwave frequency transfer over a 112-km urban fiber link based on electronic phase compensation
Wen-Xiang Xue(薛文祥), Wen-Yu Zhao(赵文宇), Hong-Lei Quan(全洪雷), Cui-Chen Zhao(赵粹臣), Yan Xing(邢燕), Hai-Feng Jiang(姜海峰), Shou-Gang Zhang(张首刚). Chin. Phys. B, 2020, 29(6): 064209.
No Suggested Reading articles found!