Improved absolute frequency measurement of the strontium ion clock using a GPS link to the SI second

We report on an improved absolute frequency measurement of the 5s2S1/2 – 4d2D5/2 optical transition of a single trapped strontium ion using a Global Positioning System (GPS) link to the SI second. Compared to our previous measurement, the systematic uncertainty of the optical clock has been reduced from 1.5×10−17 to 1.2×10−17 . The measurement campaign was performed over a two-week period in June 2017, with a total measurement time of 92 h. The traceability to the SI second through International Atomic Time was achieved through a GPS link using the Precise Point Positioning method. The dead time uncertainty of the link between the optical clock and the maser was evaluated using standard methods based on a model of the maser noise and on the optical frequency measurement uptimes. The measured frequency of the 88Sr+ ion 5s2S1/2 – 4d2D5/2 transition is 444779044095485.49(19) Hz. This result is in excellent agreement with our previous measurements and the uncertainty has been reduced by almost a factor of four, from a fractional frequency uncertainty of 1.7×10−15 to 4.3×10−16 .

[1]  Z. Fang,et al.  A 87Sr optical lattice clock with 2.9 × 10  −17 uncertainty and its absolute frequency measurement , 2021, Metrologia.

[2]  T. Gotoh,et al.  Absolute frequency of 87Sr at 1.8 × 10−16 uncertainty by reference to remote primary frequency standards , 2020, Metrologia.

[3]  H. Shinkai,et al.  Test of general relativity by a pair of transportable optical lattice clocks , 2020 .

[4]  J. Lodewyck On a definition of the SI second with a set of optical clock transitions , 2019, Metrologia.

[5]  S. Romisch,et al.  Towards the optical second: verifying optical clocks at the SI limit , 2019, Optica.

[6]  D. Leibrandt,et al.  Systematic uncertainty due to background-gas collisions in trapped-ion optical clocks. , 2019, Physical review. A.

[7]  D. Wineland,et al.  ^{27}Al^{+} Quantum-Logic Clock with a Systematic Uncertainty below 10^{-18}. , 2019, Physical review letters.

[8]  Jack W. Davis,et al.  Improved estimate of the collisional frequency shift in Al+ optical clocks , 2019, Physical Review Research.

[9]  A. Ludlow,et al.  Atomic clock performance enabling geodesy below the centimetre level , 2018, Nature.

[10]  E. Peik,et al.  Optical clock comparison for Lorentz symmetry testing , 2018, Nature.

[11]  USA,et al.  Advances in the accuracy, stability, and reliability of the PTB primary fountain clocks , 2018, Metrologia.

[12]  Gianna Panfilo,et al.  Optimal traceability to the SI second through TAI , 2018, 2018 European Frequency and Time Forum (EFTF).

[13]  A. Vutha,et al.  Advances in the uncertainty evaluation of a 88Sr+ single ion optical clock , 2018, 2018 European Frequency and Time Forum (EFTF).

[14]  Patrick Gill,et al.  The CIPM list of recommended frequency standard values: guidelines and procedures , 2018 .

[15]  T. Kirchner,et al.  The collisional frequency shift of a trapped-ion optical clock , 2017, 2017 Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium (EFTF/IFC).

[16]  G. Petit,et al.  SI-traceable measurement of an optical frequency at the low 10-16 level without a local primary standard. , 2017, Optics express.

[17]  D. Yu,et al.  Improved absolute frequency measurement of the 171Yb optical lattice clock at KRISS relative to the SI second , 2017, 1701.04534.

[18]  VéronneauMarc,et al.  The Canadian Geodetic Vertical Datum of 2013 (CGVD2013) , 2016 .

[19]  K. Gao,et al.  Frequency Comparison of Two (40)Ca(+) Optical Clocks with an Uncertainty at the 10(-17) Level. , 2016, Physical review letters.

[20]  S. Weyers,et al.  Realization of a timescale with an accurate optical lattice clock , 2015, 1511.03888.

[21]  A. Shiner,et al.  88 Sr + single-ion optical clock with a stability approaching the quantum projection noise limit , 2015 .

[22]  T. Ido,et al.  Intermittent optical frequency measurements to reduce the dead time uncertainty of frequency link , 2015, 1508.05996.

[23]  T. Mehlstaubler,et al.  Precise determination of micromotion for trapped-ion optical clocks , 2015, 1505.05907.

[24]  T L Nicholson,et al.  Systematic evaluation of an atomic clock at 2 × 10−18 total uncertainty , 2014, Nature Communications.

[25]  J. Bernard,et al.  Measurement of the static scalar polarizability of the 88Sr+ clock transition , 2014, 2014 European Frequency and Time Forum (EFTF).

[26]  Patrick Gill,et al.  Agreement between two 88 Sr + optical clocks to 4 parts in 10 17 , 2014 .

[27]  J. Bernard,et al.  High-accuracy measurement of the differential scalar polarizability of a 88Sr+ clock using the time-dilation effect. , 2014, Physical review letters.

[28]  J. Bernard,et al.  Evaluation of systematic shifts of the88Sr+single-ion optical frequency standard at the10−17level , 2013 .

[29]  Zichao Zhou,et al.  88Sr+ 445-THz single-ion reference at the 10(-17) level via control and cancellation of systematic uncertainties and its measurement against the SI second. , 2012, Physical review letters.

[30]  J. Guéna,et al.  Progress in atomic fountains at LNE-SYRTE , 2012, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[31]  Ruoxin Li,et al.  Improved accuracy of the NPL-CsF2 primary frequency standard: evaluation of distributed cavity phase and microwave lensing frequency shifts , 2011, 1107.2412.

[32]  Sylvain Loyer,et al.  The time stability of PPP links for TAI , 2011, 2011 Joint Conference of the IEEE International Frequency Control and the European Frequency and Time Forum (FCS) Proceedings.

[33]  Giuseppe Marra,et al.  First accuracy evaluation of the NRC-FCs2 primary frequency standard , 2010, Metrologia.

[34]  David J. Jones,et al.  Fiber-laser-based clockwork for long-term measurements and comparisons of visible optical frequency standards , 2010 .

[35]  R. Wynands,et al.  Uncertainty evaluation of the caesium fountain clock PTB-CSF2 , 2010 .

[36]  Gerard Petit,et al.  The TAIPPP pilot experiment , 2009, 2009 IEEE International Frequency Control Symposium Joint with the 22nd European Frequency and Time forum.

[37]  Charles W. Clark,et al.  Blackbody-radiation shift in a 88Sr+ ion optical frequency standard , 2009, 0904.2107.

[38]  Andrew D. Shiner,et al.  A narrow linewidth and frequency-stable probe laser source for  the 88Sr+ single ion optical frequency standard , 2009 .

[39]  D. Wineland,et al.  Frequency Ratio of Al+ and Hg+ Single-Ion Optical Clocks; Metrology at the 17th Decimal Place , 2008, Science.

[40]  Z. Jiang,et al.  Precise Point Positioning for TAI computation , 2007, 2007 IEEE International Frequency Control Symposium Joint with the 21st European Frequency and Time Forum.

[41]  S. Dawkins,et al.  Considerations on the Measurement of the Stability of Oscillators with Frequency Counters , 2007, 2007 IEEE International Frequency Control Symposium Joint with the 21st European Frequency and Time Forum.

[42]  M. Weiss,et al.  Uncertainty of a frequency comparison with distributed dead time and measurement interval offset , 2007 .

[43]  J. Bernard,et al.  Electric quadrupole shift cancellation in single-ion optical frequency standards. , 2005, Physical review letters.

[44]  Fritz Riehle,et al.  Influence of chirped excitation pulses in an optical clock with ultracold calcium atoms , 2005, IEEE Transactions on Instrumentation and Measurement.

[45]  P. Gill,et al.  Hertz-Level Measurement of the Optical Clock Frequency in a Single 88Sr+ Ion , 2004, Science.

[46]  P Gill,et al.  Measurement of the electric quadrupole moment of the 4d2D5/2 level in 88Sr+. , 2004, Physical review letters.

[47]  R. Kersevan,et al.  RECENT DEVELOPMENTS OF MONTE-CARLO CODES MOLFLOW+ AND SYNRAD+ , 2019 .

[48]  G. Petit,et al.  Absolute frequency measurement with uncertainty below 1 × 10 − 15 using International Atomic Time , 2016 .

[49]  L. N. Kopylov,et al.  The MTsR-F2 fountain-type cesium frequency standard , 2013 .

[50]  K. Szymaniec,et al.  First accuracy evaluation of the NPL-CsF2 primary frequency standard , 2010 .