[HN Gopher] Atomic clocks compared with astounding accuracy
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       Atomic clocks compared with astounding accuracy
        
       Author : zeristor
       Score  : 57 points
       Date   : 2021-03-25 16:21 UTC (6 hours ago)
        
 (HTM) web link (www.nature.com)
 (TXT) w3m dump (www.nature.com)
        
       | mikewarot wrote:
       | It sounds like they need to put an array of full tensor 3d
       | gravity gradiometers in Boulder to monitor the real time movement
       | of mass above, below, and on the ground.
       | 
       | It wouldn't be that expensive, _relatively_ speaking. ;-)
        
       | thatcherc wrote:
       | I got to visit JILA one time and talk to researchers working on a
       | blue or ultraviolet atomic clock (possibly the strontium
       | mentioned in the article - can't quite remember) and they had a
       | great story about how sensitive their clocks were:
       | 
       | In a part of the testing and commissioning phase of this new
       | clock, they were comparing its frequency with the nearby NIST
       | clock and noticed that some days it ran slower than other days.
       | Even after accounting for the usual thing you might expect
       | (position of the Moon, the tides [which have an effect on these
       | clocks even all the way up in Colorado], and even variations in
       | atmospheric density) they still saw this unexplained variation
       | now and then. Eventually they realized it was correlated with
       | home games at the football stadium: the mass of the fans in the
       | bleachers was gravitionally redshifting their clock!
       | 
       | I'm not 100% sure if that's a fully true story or whether it was
       | embellished to impress prospective grad students, but I thought
       | it was amazing. They also said the clocks went crazy any time
       | there was a big earthquake in North America. The sensitivity of
       | these devices is just incredible
        
         | Chris2048 wrote:
         | If that was true, shouldn't they also see significant
         | differences during night/day, and holidays?
        
           | macintux wrote:
           | It's possible they had already measured and accounted for
           | those variations.
        
           | marcosdumay wrote:
           | Those cause dispersed changes on people's distribution on all
           | directions around the clock, so no, they are probably not
           | detectable.
           | 
           | Also the sibling comparing with the Earth's mass isn't in a
           | good direction, because the Earth's mass is mostly stable,
           | and the clock only suffers disturbances from changes... But
           | if the story is true, it should have an easy time detecting
           | vulcanism.
        
         | SCHiM wrote:
         | If we manage to increase the sensitivity a few more orders of
         | magnitude, and put an array of these devices in a sphere, we
         | can make gravitic sensors!
        
           | mikewarot wrote:
           | There are better sensors that are already deployed, they were
           | developed in the 1970s so that submarines could navigate
           | undersea with zero emissions by using a gravity gradient map
           | of the seafloor, part of the Trident II system.
           | 
           | https://en.wikipedia.org/wiki/Gravity_gradiometry#Lockheed_M.
           | ..
        
           | fsh wrote:
           | Gravitational force can be measured very accurately by
           | dropping a retroreflector in a vacuum chamber and measuring
           | the acceleration with a laser interferometer. The clock
           | comparisons explained in the article measure the difference
           | in gravitational potential between two locations. This would
           | normally require measuring and integrating the force all the
           | way between the two locations.
        
           | User23 wrote:
           | Gravimeters are already a thing and they're sensitive enough
           | to detect accumulating snowfall on the roof of the building
           | they're in.
        
         | fsh wrote:
         | The stadium seems to be about 160 m from the closest part of
         | JILA. Assuming that 100000 people arrive in a 2000 kg car each,
         | the gravitational redshift would be around 1E-21. This is about
         | 1000 smaller than the stability of the best JILA optical
         | clocks.
        
         | dekhn wrote:
         | I built a microscope and most of the time I have it looked at a
         | test object. It's in the garage; when my kids in the house walk
         | around about 20 feet away, on a loosely coupled floor, the
         | image jiggles noticeably.
         | 
         | Michelson experiment was done deep in a building at night, with
         | instrumentation floated on a pool of mercury to remove
         | vibrations, but they still had problems due to horse-driven
         | cargo a quarter mile away. Today, undergrad physics students do
         | the experiment in a day on a tabletop (tools got much better).
        
         | delecti wrote:
         | I was curious and did some rough back of the envelope math.
         | 
         | The stadium seats about 50,000. Lets assume it's half full of
         | 100 kg people (or entirely full of 50kg people), or a total of
         | about 2,500,000 kg. Additionally the stadium is about 300
         | meters from JILA. Meanwhile Earth is 6x10^24 kg at 6000 km.
         | That's about 2x10^18 times as massive at only 20,000 times as
         | far. Accounting for squaring the distance, that's about 5x10^9
         | times as much effect from Earth than from the crowd. It's
         | plausible their instruments could pick up the effect of a
         | difference of that much mass, though I suspect they embellished
         | a bit the degree to which the clock went slower on game days.
        
           | wrs wrote:
           | According to the article these clocks are accurate to 2 parts
           | in 10^18, so...
        
           | ericbarrett wrote:
           | Most people will drive to the stadium, so the local mass
           | increase is a factor of ~10 higher. Assume 2 people per car
           | and 1500kg/car (this is pretty conservative for Colorado,
           | where SUVs and pickups are common), so each athlete,
           | employee, and attendee would bring in ~800kg mass plus their
           | own weight.
           | 
           | EDIT: I was curious about the parking situation; seems to be
           | a bunch of lots scattered around with JILA effectively in the
           | center: https://en.parkopedia.com/parking/stadium/folsom-
           | field-co/?a...
        
           | [deleted]
        
           | pdonis wrote:
           | _> Accounting for squaring the distance_
           | 
           | You actually don't _want_ to square the distance, since you
           | are not trying to compute the acceleration due to gravity,
           | you are trying to compute the gravitational potential (since
           | that 's what affects clock rates), which goes like 1/r, not
           | 1/r^2. So the Earth's effect should be about 10^14 larger
           | than the effect of the people in the stadium. (Which is still
           | several orders of magnitude larger than the sensitivity of
           | the clocks, so it's entirely plausible that the clocks were
           | detectably affected.)
        
         | D-Coder wrote:
         | I once worked with a guy who had worked on gravitational
         | measurements in (I presume) grad school. They measured the
         | attraction between spheres of lead. One of the adjustments they
         | had to make was considering the change in the masses as _lead
         | atoms evaporated_ from the surface of the spheres.
        
           | adonovan wrote:
           | The gravitational attraction between spheres of lead is
           | strong enough to be measured in a high-school science lab (if
           | you can remove the students and air currents); this is the
           | famous Cavendish experiment of 1798.
           | 
           | I remember it blowing my mind to realize that although a lead
           | sphere is tiny compared to the Earth, it's also right there:
           | whereas the Earth acts like a point mass four thousand miles
           | beneath your feet.
        
       | geenew wrote:
       | The potential land surveying application of high-accuracy clocks
       | is quite interesting. It would provide a measure of elevation
       | that is (in the vertical scale, at least) completely independent
       | of GNSS, at an accuracy comparable to what can be achieved by
       | current field-deployed GNSS receivers, at ~0.02m
       | 
       | I wonder how far that could be stretched. Current permanent
       | ground-station GNSS receivers have vertical accuracies in the mm
       | scale. They achieve that by solving for measurements taken over
       | very long periods (~6 months). Would atomic clock height
       | measurement tools be able to achieve similar accuracies, if the
       | datasets for a single station were made over a similar length of
       | time?
        
         | fsh wrote:
         | GNSS and clock comparisons measure slightly different things
         | and are complementary. GNSS gives the position of the receiver
         | in space relative to some defined coordinate system. This
         | allows accurate mapping of the earth's surface and measurements
         | of continental drift. Clock comparisons measure (via the
         | gravitational red shift) the difference in gravitational
         | potential between the locations of the clocks. This is affected
         | not only by the height difference, but also by changes in the
         | mass distribution within the earth. Transportable optical
         | clocks would allow real-time mapping of the earth's
         | gravitational equipotential surface (geoid). Currently, the
         | geoid has to be determined by painstakingly levelling accross
         | the continents point by point. This can be surprisingly
         | accurate (cm-level) but is obviously much too slow to observe
         | fast variations, for example due to earthquakes.
        
           | geenew wrote:
           | GNSS and clock comparisons measure different things, one is a
           | based on radio wave travel time between a receiver and the
           | satellites in the constellation, the other is a physical
           | measurement. That's what I was referring to wrt independence:
           | a gravity measurement would avoid any potential error source
           | in the whole chain of the GNSS system (which is quite
           | lengthy).
           | 
           | The geoid has been partially satellite-derived for some time,
           | see the GRAIL, GRACE, and GRACE-FO missions. The US is also
           | running a nationwide airborne gravity program at the moment,
           | too, which an impressive undertaking and should be done soon-
           | ish.
           | 
           | Comparing a measurement of actual local gravity against the
           | geoid-stated gravity should be enough to give the elevation
           | relative to the geoid, which is the same output that you get
           | from GNSS. That's my intuition, anyway.
        
         | tgb wrote:
         | It sounds like it would more be used for relative elevation
         | differences. Is GNSS the gold-standard for that? I'd have
         | thought you could do better with a laser and a level.
        
           | AnimalMuppet wrote:
           | I'm not sure that we have levels that are accurate enough for
           | that.
        
             | tgb wrote:
             | Really? I can't tell what accuracy a good theodolite gets,
             | but this consumer device [1] claims 3/16ths of an inch at
             | 30ft. Obviously that won't scale to 1km distance like
             | they're doing in this, a professional one seems competitive
             | with the quoted ~2cm accuracy.
             | 
             | [1] https://www.amazon.com/SKIL-Self-Leveling-Cross-Line-
             | Laser/d...
        
           | WJW wrote:
           | Absolute gold standard for use in a laboratory, probably not.
           | But GNSS is definitely the instrument of choice for 99% of
           | surveying and navigational purposes.
        
       | amenghra wrote:
       | If you want to read more about atomic clocks, this is a great
       | post from 2005: http://leapsecond.com/great2005/tour/
        
       | a11r wrote:
       | Link to paper: https://arxiv.org/pdf/2005.14694.pdf
        
       | rkagerer wrote:
       | _According to Einstein's theory of relativity, Earth's gravity
       | causes the frequency of an atomic clock to depend on its
       | altitude. Consequently, the height difference between two remote
       | clocks can be determined by measuring their difference in
       | frequency. At the level of measurement uncertainty achieved in
       | the latest work, clock comparisons could resolve centimetre-sized
       | height differences. Therefore, clocks could provide new tools for
       | long-term environmental monitoring of, for example, ice sheets or
       | ocean levels._
        
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       (page generated 2021-03-25 23:01 UTC)