48 research outputs found
Reforming the international system of units: On our way to redefine the base units solely from fundamental constants and beyond
Our purpose is to offer a logical analysis of the system of units and to
explore possible paths towards a consistent and unified system with an original
perspective. The path taken here builds on the fact that, thanks to optical or
matter-wave interferometry, any measurement can be reduced to a dimensionless
phase measurement and we follow this simple guiding line. We finally show how
one could progress even further on the path of a synthetic framework for
fundamental metrology based upon pure geometry in five dimensions
The theory of quantum levitators
We develop a unified theory for clocks and gravimeters using the
interferences of multiple atomic waves put in levitation by traveling light
pulses. Inspired by optical methods, we exhibit a propagation invariant, which
enables to derive analytically the wave function of the sample scattering on
the light pulse sequence. A complete characterization of the device sensitivity
with respect to frequency or to acceleration measurements is obtained. These
results agree with previous numerical simulations and confirm the conjecture of
sensitivity improvement through multiple atomic wave interferences. A realistic
experimental implementation for such clock architecture is discussed.Comment: 11 pages, 6 Figures. Minor typos corrected. Final versio
Does an atom interferometer test the gravitational redshift at the Compton frequency ?
Atom interferometers allow the measurement of the acceleration of freely
falling atoms with respect to an experimental platform at rest on Earth's
surface. Such experiments have been used to test the universality of free fall
by comparing the acceleration of the atoms to that of a classical freely
falling object. In a recent paper, M\"uller, Peters and Chu [Nature {\bf 463},
926-929 (2010)] argued that atom interferometers also provide a very accurate
test of the gravitational redshift when considering the atom as a clock
operating at the Compton frequency associated with the rest mass. We analyze
this claim in the frame of general relativity and of different alternative
theories. We show that the difference of "Compton phases" between the two paths
of the interferometer is actually zero in a large class of theories, including
general relativity, all metric theories of gravity, most non-metric theories
and most theoretical frameworks used to interpret the violations of the
equivalence principle. Therefore, in most plausible theoretical frameworks,
there is no redshift effect and atom interferometers only test the universality
of free fall. We also show that frameworks in which atom interferometers would
test the redshift pose serious problems, such as (i) violation of the Schiff
conjecture, (ii) violation of the Feynman path integral formulation of quantum
mechanics and of the principle of least action for matter waves, (iii)
violation of energy conservation, and more generally (iv) violation of the
particle-wave duality in quantum mechanics. Standard quantum mechanics is no
longer valid in such frameworks, so that a consistent interpretation of the
experiment would require an alternative formulation of quantum mechanics. As
such an alternative has not been proposed to date, we conclude that the
interpretation of atom interferometers as testing the gravitational redshift is
unsound.Comment: 26 pages. Modified version to appear in Classical and Quantum Gravit
Atom interferometry and the Einstein equivalence principle
The computation of the phase shift in a symmetric atom interferometer in the
presence of a gravitational field is reviewed. The difference of action-phase
integrals between the two paths of the interferometer is zero for any
Lagrangian which is at most quadratic in position and velocity. We emphasize
that in a large class of theories of gravity the atom interferometer permits a
test of the weak version of the equivalence principle (or universality of free
fall) by comparing the acceleration of atoms with that of ordinary bodies, but
is insensitive to that aspect of the equivalence principle known as the
gravitational redshift or universality of clock rates.Comment: 5 pages, to appear in the proceedings of the "46th Rencontres de
Moriond and GPhyS Colloquium on Gravitational Waves and Experimental
Gravity", la Thuile, March 20-27, 201
Determination of the Boltzmann constant by laser spectroscopy as a basis for future measurements of the thermodynamic temperature
In this paper, we present the latest results on the measurement of the
Boltzmann constant kB, by laser spectroscopy of ammonia at 10 ?m. The Doppler
absorption profile of a ro-vibrational line of an NH3 gas sample at thermal and
pressure equilibrium is measured as accurately as possible. The absorption cell
is placed inside a large 1m3 thermostat filled with an ice-water mixture, which
sets the temperature very close to 273.15 K. Analysing this profile, which is
related to the Maxwell-Boltzmann molecular speed distribution, leads to a
determination of the Boltzmann constant via a measurement of the Doppler width
(proportional tosqrt(kBT)). A spectroscopic determination of the Boltzmann
constant with an uncertainty as low as 37 ppm is obtained. Recent improvements
with a new passive thermostat lead to a temperature accuracy, stability and
homogeneity of the absorption cell better than 1 ppm over a day