First accuracy evaluation of the NRC-FCs2 primary frequency standard

An accuracy evaluation of the caesium fountain NPL-CsF2 as a primary frequency standard is reported. The device operates with a simple one-stage magneto-optical trap as the source of cold atoms. Both the uncertainty in and magnitude of the cold collision frequency shift are reduced by taking advantage of the dependence of the cross section on the effective collision energy in an expanding atomic cloud. The combined type B uncertainty (typically 4 ? 10?16) is dominated by an estimate of the frequency shift due to the distributed cavity phase. When operated at single density, the short-term fractional frequency instability of NPL-CsF2 is 1.7 ? 10?13 at 1?s and limited by the noise of the room temperature quartz-based local oscillator. During a typical frequency measurement campaign, the fountain is operated in an alternating mode at high and low density in order to measure and correct for a residual collision shift. This increases the effective fractional frequency instability to 5.4 ? 10?13 at 1?s; consequently the averaging time required for the type A uncertainty level to match that of the type B is 20 days.

[1]  I. Rabi,et al.  Measurement of Nuclear Spin , 1931 .

[2]  C. W. Beer,et al.  Hyperfine pressure shift of 133 Cs atoms in noble and molecular buffer gases , 1976 .

[3]  Claude Audoin,et al.  Frequency Offset Due to Spectral Impurities in Cesium-Beam Frequency Standards , 1978, IEEE Transactions on Instrumentation and Measurement.

[4]  J. J. Snyder,et al.  High-sensitivity nonlinear spectroscopy using a frequency-offset pump. , 1980, Optics letters.

[5]  Wayne M. Itano,et al.  Shift of 2 S 12 hyperfine splittings due to blackbody radiation , 1982 .

[6]  J. Vanier,et al.  The quantum physics of atomic frequency standards , 1989 .

[7]  Robin P. Giffard,et al.  Frequency pulling by hyperfine σ transitions in cesium beam atomic frequency standards , 1991 .

[8]  M. Bahoura,et al.  A cesium fountain frequency standard: preliminary results , 1994 .

[9]  K. Gibble,et al.  Predictions for laser-cooled Rb clocks , 1997 .

[10]  André Clairon,et al.  Quantum projection noise in an atomic fountain: a high stability cesium frequency standard , 1999 .

[11]  S. Bize,et al.  Cold collision frequency shifts in a 87Rb atomic fountain. , 2000, Physical review letters.

[12]  A. Bauch,et al.  First performance results of PTB's atomic caesium fountain and a study of contributions to its frequency instability , 2000, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[13]  Gibble,et al.  Measurement and cancellation of the cold collision frequency shift in an 87Rb fountain clock , 2000, Physical review letters.

[14]  Andreas Bauch,et al.  Uncertainty evaluation of the atomic caesium fountain CSF1 of the PTB , 2001 .

[15]  U. Hubner,et al.  Design and realization of the microwave cavity in the PTB caesium atomic fountain clock CSF1 , 2002, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[16]  S Bize,et al.  Controlling the cold collision shift in high precision atomic interferometry. , 2002, Physical review letters.

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

[18]  Y. Fukuyama,et al.  Preliminary evaluation of the Cs atomic fountain frequency standard at NMIJ/AIST , 2004, IEEE Transactions on Instrumentation and Measurement.

[19]  S. Zhang,et al.  BNM-SYRTE fountains: Recent results , 2004, 2004 Conference on Precision Electromagnetic Measurements.

[20]  E. Donley,et al.  Measurement of dynamic end-to-end cavity phase shifts in cesium-fountain frequency standards. , 2004, IEEE transactions on ultrasonics, ferroelectrics, and frequency control.

[21]  Kurt Gibble,et al.  Phase variations in microwave cavities for atomic clocks , 2004 .

[22]  K. Szymaniec,et al.  Adiabatic passage in an open multilevel system , 2005 .

[23]  K. Szymaniec,et al.  Cooling in an optical lattice for a caesium fountain frequency standard , 2005, IEEE Transactions on Instrumentation and Measurement.

[24]  Jon H. Shirley,et al.  NIST-F1: recent improvements and accuracy evaluations , 2005 .

[25]  R. Wynands,et al.  Atomic fountain clocks , 2005 .

[26]  G. Dick,et al.  Power dependence of distributed cavity phase-induced frequency biases in atomic fountain frequency standards , 2005, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[27]  Peter Whibberley,et al.  Evaluation of the primary frequency standard NPL-CsF1 , 2005 .

[28]  Davide Calonico,et al.  IEN-CsF1 primary frequency standard at INRIM: accuracy evaluation and TAI calibrations , 2006 .

[29]  M. Saccoccio,et al.  Design of the cold atom PHARAO space clock and initial test results , 2006 .

[30]  V. A. Dzuba,et al.  Frequency shift of hyperfine transitions due to blackbody radiation , 2006 .

[31]  K. Beloy,et al.  High-accuracy calculation of the blackbody radiation shift in the 133Cs primary frequency standard. , 2006, Physical review letters.

[32]  Dai-Hyuk Yu,et al.  Power dependence of the frequency bias caused by spurious components in the microwave spectrum in atomic fountains , 2006, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[33]  Robert Wynands,et al.  Majorana transitions in an atomic fountain clock , 2006, Proceedings of the 20th European Frequency and Time Forum.

[34]  S. Lea,et al.  SHORT COMMUNICATION: Reply to the comment on 'Evaluation of the primary frequency standard NPL-CsF1' , 2006 .

[35]  Kurt Gibble Difference between a photon's momentum and an atom's recoil. , 2006 .

[36]  Dai-Hyuk Yu,et al.  Microwave leakage-induced frequency shifts in the primary frequency Standards NIST-F1 and IEN-CSF1 , 2006, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[37]  R. Wynands,et al.  Apparent Power-Dependent Frequency Shift Due to Collisions in a Cesium Fountain , 2007, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[38]  R. Wynands,et al.  Prospects of operating a caesium fountain clock at zero collisional frequency shift , 2007 .

[39]  K. Szymaniec,et al.  Collisions in a ballistically expanding cloud of cold atoms in an atomic fountain , 2007 .

[40]  Giuseppe Marra,et al.  Frequency stability and phase noise of a pair of X-band cryogenic sapphire oscillators , 2007 .

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

[42]  R. Wynands,et al.  Cancellation of the collisional frequency shift in caesium fountain clocks. , 2007 .

[43]  Mizuhiko Hosokawa,et al.  Evaluation of caesium atomic fountain NICT-CsF1 , 2008 .

[44]  Steven R. Jefferts,et al.  First-Order Sideband Pulling in Atomic Frequency Standards , 2008, IEEE Transactions on Instrumentation and Measurement.

[45]  P. Rosenbusch,et al.  Switching atomic fountain clock microwave interrogation signal and high-resolution phase measurements , 2009, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[46]  Gesine Grosche,et al.  The Stability of an Optical Clock Laser Transferred to the Interrogation Oscillator for a Cs Fountain , 2008, IEEE Transactions on Instrumentation and Measurement.

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

[48]  Kurt Gibble,et al.  Evaluating and minimizing distributed cavity phase errors in atomic clocks , 2010, 1008.1505.

[49]  J. Guéna,et al.  Evaluation of Doppler shifts to improve the accuracy of primary atomic fountain clocks. , 2011, Physical review letters.

[50]  Krzysztof Szymaniec,et al.  Primary Frequency Standard NPL-CsF2: Optimized Operation Near the Collisional Shift Cancellation Point , 2011, IEEE Transactions on Instrumentation and Measurement.

[51]  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.