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The laser linewidth is initially narrowed by frequency locking it to a
Fabry-Perot etalon of high-finesse, and high stability is achieved through
exceptionally good isolation from building vibrations and acoustic noise. This
line-narrowed (linewidth of ~0.2 Hz) laser is frequency doubled and then
used to probe the 282 nm (1.06 x 1015 Hz)
electric-quadrupole transition in a single 199Hg+ ion
stored in a cryogenic radio-frequency ion trap. The measured linewidth is
6.7 Hz resulting in a Q
1.6 x 1014.
Systems with such exceptional Q are extremely attractive as frequency standards, since large Q translates to small uncertainty in locating the line center of the resonance. Of course, systematic frequency shifts caused by non-ideal experimental conditions must be considered, but while these limit the performance in the present experiments to an uncertainty of order 10-14, they appear to be controllable at much lower levels. The optical-frequency output of this standard has been linked to the microwave region using the new optical-frequency-synthesis methods described below. (J. Bergquist).
y(
) = 4 x 10-15 at 1 s.
For optical frequency standards, this is second only to the mercury ion
standard described above. This standard has played a key role in recent
optical-frequency measurements using frequency combs (described below), since
without this standard, the stability performance of the mercury-ion standard
could not have been measured, and the ability of the combs to translate high
stability in the optical region to lower frequency could not have been
evaluated.
Figure 1. Noise performance of the laser-cooled calcium frequency standard. Curve (a) shows the raw frequency fluctuations, while curve (b) shows the stabilityy(
) as a function of
. The dotted line represents the noise floor for the system used for obtaining the measurement.
Calcium continues to be an attractive optical frequency standard at many
laboratories in the world, since the 657 nm transition is relatively
insensitive to external electric and magnetic fields, and because the entire
system (trapping, laser cooling, and state probing) is operated with diode
lasers. While the system is already laser cooled, the temperature of the atoms
might be further reduced using second-stage cooling schemes to achieve a
projected stability as low as
y(
) = 2 x 10-16
-1/2. (C. Oates)
The measurement of the Hg+ line was made relative to a known optical transition in calcium using a new femtosecond-laser frequency comb. The comb concept, developed by T. Udem, T. Hänsch, and their colleagues at the Max Planck Institute in Germany and J. Hall and collaborators at JILA, provides a large set of equally spaced frequencies that can be used, almost like a ruler, to make measurements of very large frequency differences, in this case a difference of 76 THz. The uncertainty of the new measurement is limited, not by the measurement method, but rather by the uncertainty of 120 Hz for the calcium frequency, measured at PTB using conventional frequency-synthesis methods. A further advance in measurement of the mercury transition is described in the following highlight. (J. Bergquist, L. Hollberg).
y(
) = 8 x 10-15
-1/2, an order of magnitude better
than the stability of the best quartz oscillators.

Figure 2. Femtosecond mode-locked laser used for generating frequency combs. The system is contained on a table area of 0.6 m x 1.2 m. Future development will certainly decrease the size of the system.
While this same system was also referenced to a microwave frequency to make measurements of both the calcium and mercury-ion frequencies relative to the cesium-fountain frequency standard (see Fig. 3), it is the generation of a microwave output that is so significant to the future of primary frequency standards. It has long been recognized that line Q provides a very good figure of merit for assessing the performance of frequency standards, and that optical standards, having such high Qs (better than 1014 for the mercury ion), should outperform their microwave counterparts (best Q of ~1010) by a wide margin. What has been missing until now is a means for counting cycles and making measurements at lower frequencies. Now that the extraordinary performance of the optical frequency standards (such as the mercury-ion standard) can be translated to lower frequency, they can be seen as a new generation of frequency standards that should substantially outperform even the cesium-fountain frequency standard. (S. Diddams).

Figure 3. Frequency measurements of 1/2 the frequency of the 282 nm (1.06 x 10-15 Hz) 199Hg+ transition made using the femtosecond comb system. The measurements were made relative to the microwave frequency of the primary cesium frequency standard. The uncertainty of the measurement of the frequency of this transition is ~3 x 10-15, limited by the uncertainty of the frequency of the cesium transition and the stability of the hydrogen maser used as an intermediate reference in the experiments. Systematic effects in the Hg+ ion have not yet been evaluated, but are expected to be < 1 Hz.
|
Figure 4. Microcircuit rf trap used for the four-ion experiments. A blowup of the trapping region is shown at the bottom. |
The experiment prepares a pair of two-level atomic ions in a repeatable configuration. Next a laser field is applied to the particles; the classical manipulation variables are the phases of this field at each ion's position. Finally, upon application of a detection laser beam, the classical property measured is the number of scattered photons emanating from the particles. The Bell signal B was constructed using the results for four sets of phase parameters. Analyses of the photon count distributions indicate that the Bell's signal was B = 2.25 ± 0.03, a result that clearly exceeds 2, the maximum value allowed by local realistic theories of nature. (D. Wineland).

Figure 5. Measurements of the frequency of NIST-F1 as a function of signal amplitude. The amplitude is varied by changing the density of atoms launched through the standard. It is the increased spin-exchange collision shift that gives rise to the observed variation, and this type of plot is used to obtain a frequency correction. The shift is measured to be 2 x 10-15 ± (1.4 x 10-15) relative to the nominal operating point.
The experiments demonstrated that the application of a small torque produces sudden angular jumps or 'slips' of the crystal orientation spaced by intervals where the crystal orientation is phase-locked or ‘stuck’ relative to the rotating field. The angular slips follow power-law frequency-versus-amplitude spectra, where the power-law exponent depends on the amount of applied torque and is therefore not universal. Positive correlation is measured between the waiting time between slips and the amplitude of the following slip. (J. Bollinger).
y(
) = 1 x 10-15 for averaging
times from 1 to 100 days, with a minimum near 3 x 10-16 at about
20 days.
Figure 6 shows comparisons of the performance of 6 different primary frequency standards with the scale (and thus with each other) over a period of more than 1200 days. These comparisons indicate that the frequencies of NIST-7 and NIST-F1 have maintained agreement within their measured uncertainties over the last 2 years, thus adding confidence to the methods used for evaluating the uncertainties of the standards. Having completed this overlap of operation with good results, NIST-7 will be taken out of operation.

Figure 6. Comparisons of 6 different standards using a special time scale composed of 5 hydrogen masers. The standards are from NIST, the Physikalisch Technische Bundesanstalt (PTB), and the Laboratoire Primaire du Temps et Frequences (LPTF). The cesium-beam standards are LPTF-JPO, NIST-7, and PTB-CS2. The fountain standards are LPTF-FO1, NIST-F1, and PTB-CSF1. The European results are obtained from satellite frequency comparisons and data obtained from the BIPM.
The figure also compares the NIST standards with several of the other best standards in the world. These are the standards at the Physikalisch Technische Bundesanstalt (PTB) in Germany and the Laboratoire Primaire du Temps et Frequences (LPTF) in Paris. The measurements show remarkably good agreement among standards of quite different designs indicating that the measurement of frequency at these levels is in very good shape. The more recent comparisons of NIST and PTB standards have been done using a two-way time-transfer link between these two labs. This link supports comparisons at an uncertainty of less than 1 x 10-15, more than a factor of 2 better than other comparisons, which are made using the common-view Global Positioning System method. The PTB and NIST fountain standards are seen to agree within their uncertainties. (T. Parker)
Staff members at NIST and the University of Colorado are serving as the Co-Principal Investigators for the experiment, and the Project Scientist and Project Manager are from the Jet Propulsion Laboratory where the space hardware is being developed. A hydrogen maser, originally developed (but not flown) for an earlier space mission by the Harvard-Smithsonian Center for Astrophysics, will serve as both the local oscillator for the cesium clock and reference for the test of local position invariance. The Politecnico di Torino, which has expertise on the microwave components of atomic clocks, is providing input to the design of the microwave cavity for the cesium clock. A block diagram of the PARCS systems is shown in Fig. 7. (D. Sullivan).

Figure 7. Block diagram of the PARCS experiment. Ground components are shaded and labeled. Frequency comparisons between the space and ground clocks are made using a GPS carrier-phase common-view method. The computer controller steers the microwave synthesizer to the cesium resonance. This steering signal in fact represents the frequency difference between the output of the local oscillator (hydrogen maser) and the cesium reference and is used to test local position invariance.

Figure 8. Comparison of UTC(NIST) and CS2(PTB) using both the GPS carrier-phase (CP) time-transfer method and the two-way satellite time transfer (TWSTT) method. The measurements span a period of 48 days (days are labeled as the Modified Julian Date). The slope of the curve reflects the small frequency offset between the NIST time scale and the PTB standard. Since the NIST primary standard is regularly compared to UTC(NIST), these data provide the means for comparing the frequencies of the primary standards at the two institutions.
The present analysis of the GPS carrier-phase data is limited by data frequency steps, which must be carefully reconnected to form the desired time series. Furthermore, there are gaps in the data from the GPS reference stations that limit the length of the time series that can be processed at one time. Thus, elimination or reduction of these problems could further improve the performance of the method. The analysis limitation could be improved through better analysis methods, and studies are now being done using a new analysis package from the University of Berne. (J. Levine).
Three different methods were used to arrive at their estimate. These were (1) a 1998 global gravitational model produced by NASA and the National Imagery and Mapping Agency; (2) a 1999 regional, high-resolution geoid model generated by Smith and Milbert; and (3) recent measurements made by the National Geodetic Survey of a reference marker on the NIST site. Through a critical analysis of these three methods they estimate that the frequency correction for NIST-F1 in its current location is -1798.93 x 10-16, with an estimated uncertainty of 0.2 x 10-16. This is well below the NIST-F1 uncertainty of 1.5 x 10-15, so at this time the red-shift correction is not of particular concern. It is worth noting that when the Division moves this standard to a different floor of the building, which should happen in about a year, the correction will have to be changed. (M. Weiss).
Further transverse cooling will provide for significant reduction in the uncertainty of NIST's cesium-fountain frequency standard. The largest uncertainty in this standard is the spin-exchange frequency shift, the magnitude of which depends on the density of atoms averaged over the fountain trajectory. In this standard, the magnitude of the transverse velocities of the launched atoms (cooled to about 1.5 µK) results in a loss of approximately 90 % of the atoms before they reach the detection region. This means that most of these atoms contribute to an increased spin-exchange frequency shift without contributing to the output signal. With better transverse cooling, a larger fraction of the atoms will reach the detection region and the launch density can be decreased leading to a lower spin-exchange shift while retaining a good signal-to-noise ratio. (L. Hollberg).
| In preliminary experiments, J. Kitching and L. Hollberg of the Division demonstrated high-short-term-stability transfer of frequency across the network. They first modulated the output of a 1.3 µm laser at 2.3 GHz using a source locked to a hydrogen maser in the NIST time scale. This was transferred to the University (over BRAN) and then back to the Division. Comparison with the original signal produces the st ability results shown in Fig. 9. The measurement-system noise floor, shown as the dotted line in the figure, limited the results of the measurements. The uncompensated diurnal variations of the time delay between the two sites were about 140 ps, and these can be controlled well below this level. (L. Hollberg). |
![]() Figure 9. Stability (Allan deviation) of the round-trip (7 km) link between the Division and the University as a function of averaging time. The dashed line is an estimate of the noise floor of the measurement system, so it is clear that the noise in the link is lower than that indicated. |
|
Figure 10. Block diagram of the compact cesium standard |
) for a 24 hour averaging
period, and the system can now measure any frequency from 1 Hz to
120 MHz in 1 Hz increments. Up to 5 devices can be calibrated
simultaneously. Su bscribers to the service receive monthly calibration reports
compliant with ISO
Guides 25 and 17025 and the ANSI Z-540
standard. A wide range of high-level calibration laboratories in industrial and
government organizations use this service, which provides continuous frequency
traceability to NIST.
To further simplify the problem of achieving frequency traceability, a database of frequency comparisons between the NIST time scale and individual GPS satellites has been developed and is updated daily on the Division web site. While it is generally acknowledged that the frequency delivered by these satellites is quite accurate, the mode of operation of GPS does not allow for a clear specification of frequency accuracy that can be used for legal traceability. This database provides a very simple means for a calibration laboratory to achieve measurement traceability to NIST. (M. Lombardi).
|
Figure 11. The two key pages for the new time.gov web site. |
A rapid rise in commercial interest has been associated with this service. Two companies have established cooperative arrangements with NIST and interactions with a third are being discussed. Six servers have been configured by NIST and delivered to one of these companies to become part of a commercial authenticated time service. In cooperation with another of these companies, real-time tests between Boulder and San Jose were conducted of remote synchronization of a time server. The third interaction, still in the paper design stage, involves yet another network for authenticated-time delivery. (J. Levine).
The antennas are being replaced with fiberglass whip antennas, which were developed especially for marine environments. Two broadband antennas are now being installed to replace units first put into service in 1971. These new antennas are hinged and can be lowered to the ground for maintenance, eliminating the need for further tower scaling. It is estimated that the capital investment in these new antennas will be recovered (in the form of reduced maintenance costs) in approximately 7 years. (W. Hanson).
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