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A special technique allows researchers to
use a particle's mass as the driver for an atomic clock. Turning the
process around may lead to precise measurments of microscopic mass.
Pei-Chen Kuan
Most of the units we rely on are based on precision microscopic
measurements—regular fluctuations in certain atoms define one second of
time, for example. A major exception to this is the basic unit of mass,
the kilogram, which is defined by a platinum-iridium cylinder in a vault
in Paris, along with a number of supposedly identical replicas
distributed around the world. The problem: these chunks of metal no
longer are precisely the same mass, thanks to accumulation of surface gunk and tiny variations on the atomic scale.
A concept from fundamental physics may come to the kilogram's rescue.
According to quantum physics, all matter behaves as a wave, vibrating
at a set frequency proportional to its mass—if we measure the
vibrations, we get the mass. Reliably measuring this frequency is a
major challenge, however, since it is huge even for low-mass particles
like electrons.
Shau-Yu Lan and colleagues exploited advanced techniques to construct
an atomic clock based on a single cesium atom, a device capable of
dividing the huge natural frequencies of the atom into more manageable
quantities. This provided a strong demonstration of the ability to
construct clocks based on a single microscopic mass. And, because we
already have excellent clocks to compare them with, this can potentially
work in the opposite direction, leading to accurate mass measurements
in the future.
Direct measurement of tiny masses is never as simple as placing them
on a scale. Progress has been made by using the vibration of molecules, such as carbon nanotubes.
However, as with atomic clocks, these systems are all based on
collections of particles and their interactions. That places inherent
limitations on precision. While those limits are pretty small (to put it
mildly), we could always do better in order to get truly precise
definitions of a second of time or a kilogram of mass.
Single particles also have fundamental frequencies of vibration,
based on their wave-like character. Every particle type has a unique
frequency proportional to its mass, known as the Compton frequency.
Compton frequencies are huge: for an electron, the frequency is 1.23×1020
Hz, or 123 billion GHz, far larger than typical laboratory experiments
can track. Heavier particles like protons have even higher Compton
frequencies: it's a linear relationship, so if a particle has double the
mass, its Compton frequency also doubles. But these frequencies have a
big advantage: they are also as basic as can be. Compton frequencies are
independent of any interactions of the particle, and can be defined for
any particle, atom, molecule, or (if one wants to be ridiculous) a macroscopic object.
The researchers accessed the Compton frequency of a cesium atom by
trapping it in a Ramsey-Bordé interferometer. This device sent two laser
pulses into the atom, which absorbed the photons from one pulse stream
and reemitted them into the second. The interferometer controlled the
atom's response by varying the pulse duration and number of photons it
contained. Tuning the difference between the timing of the two laser
paths led to a new frequency, just as adding water waves together
produces a new wave with its own frequency.
In the case of the Ramsey-Bordé interferometer, this new frequency
was a precise fraction of the Compton frequency—a small enough fraction
that it was within a range accessible to measurement. The researchers
used this as the basis for an atomic clock, involving a single atom.
While their accuracy was much less than modern atomic clocks built on
other principles, it marked an important proof of concept. With
refinement, this type of experiment could be used to define the second
of time in a more precise way than is possible using other methods, many
of which rely on collections of atoms.
Additionally, the experiment could be turned around conceptually:
measuring the mass of a particle or atom using the interferometer. This
could make it possible to define the kilogram in a replicable way. With
this in hand, the researchers suggested new experiments to measure some
of the physical constants of nature (such as Planck's constant,
important for all of quantum physics). However, they could also test
some of the fundamental principles—the equivalence between inertial mass
(resistance to motion) and gravitational mass, for example—in a
sensitive way. Science, 2013. DOI: 10.1126/science.1230767 (About DOIs).
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