This was published in the 22 May 2020 issue of Science (AAAS journal). For AAAS 
members, the direct link is:
https://science.sciencemag.org/content/368/6493/889 

They make use of a fiber-based OFC (optical frequency comb) and 
state-of-the-art photodetectors to transfer optical clock stability to a 10 GHz 
microwave signal. This downconversion from optical to microwave was done with 
an error of no more than 10-19 (1 x 10 ^-19). The best available optical clock 
stability is around 10-18 (1 x 10^-18) at a couple of hundred seconds averaging 
time. 

This specific experiment compared two independent Yb (Ytterbium) optical 
lattice clocks running at about 259 THz. One Yb clock drove a 208 MHz comb 
generator, while the other Yb clock drove a 156 MHz comb generator. Then:
208 MHz x 48th harmonic = 9.984 GHz
156 MHz x 64th harmonic = 9.984 GHz
The phase between these 9.984 GHz signals was compared in a mixer phase 
detector. The fractional frequency instability observed was 10-16 (1 x 10^-16) 
over a 1 second interval. The frequencies I listed above are approximate -- 
they actually measured a 1.5 MHz beat note between the ~10 GHz signals. This 
allowed them to achieve a relative timing error of 900 attoseconds (rms).

The optical phase measurements between the two Yb clocks at 259 THz indicated a 
frequency offset (Yb1 - Yb2) of 0.0000064 Hz, and the microwave ~10 GHz 
comparison was consistent with that offset (2.5 +/- 0.6) x 10-20 (10^-20).

The abstract is:
> Optical atomic clocks are poised to redefine the Système International (SI) 
> second, thanks to stability
> and accuracy more than 100 times better than the current microwave atomic 
> clock standard. However,
> the best optical clocks have not seen their performance transferred to the 
> electronic domain, where
> radar, navigation, communications, and fundamental research rely on less 
> stable microwave sources.
> By comparing two independent optical-to-electronic signal generators, we 
> demonstrate a 10-gigahertz
> microwave signal with phase that exactly tracks that of the optical clock 
> phase from which it is derived,
> yielding an absolute fractional frequency instability of 1 × 10−18 in the 
> electronic domain. Such faithful
> reproduction of the optical clock phase expands the opportunities for optical 
> clocks both technologically
> and scientifically for time dissemination, navigation, and long-baseline 
> interferometric imaging.

I have a Science subscription and can read this paper, but I can't distribute 
it here. 

You can also see discussion of this achievement by NIST (with assistance by the 
University of Virginia) at Physics World:
https://physicsworld.com/a/microwave-timing-signals-get-hundredfold-boost-in-stability/
 
You may need to request a free account at Physics World to read this article. 

--
Bill Byrom N5BB

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