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We simultaneously measure the gravitationally-induced phase shift in two Raman-type matter-wave interferometers operated with laser-cooled ensembles of $^{87}$Rb and $^{39}$K atoms. Our measurement yields an Eotvos ratio of $eta_{text{Rb,K}}=(0.3pm 5.4)times 10^{-7}$. We briefly estimate possible bias effects and present strategies for future improvements.
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We report on an improved test of the Universality of Free Fall using a rubidium-potassium dual-species matter wave interferometer. We describe our apparatus and detail challenges and solutions relevant when operating a potassium interferometer, as well as systematic effects affecting our measurement. Our determination of the Eotvos ratio yields $eta_{,text{Rb,K}}=-1.9times10^{-7}$ with a combined standard uncertainty of $sigma_eta=3.2times10^{-7}$.
The theory of general relativity describes macroscopic phenomena driven by the influence of gravity while quantum mechanics brilliantly accounts for microscopic effects. Despite their tremendous individual success, a complete unification of fundamental interactions is missing and remains one of the most challenging and important quests in modern theoretical physics. The STE-QUEST satellite mission, proposed as a medium-size mission within the Cosmic Vision program of the European Space Agency (ESA), aims for testing general relativity with high precision in two experiments by performing a measurement of the gravitational redshift of the Sun and the Moon by comparing terrestrial clocks, and by performing a test of the Universality of Free Fall of matter waves in the gravitational field of Earth comparing the trajectory of two Bose-Einstein condensates of Rb85 and Rb87. The two ultracold atom clouds are monitored very precisely thanks to techniques of atom interferometry. This allows to reach down to an uncertainty in the Eotvos parameter of at least 2x10E-15. In this paper, we report about the results of the phase A mission study of the atom interferometer instrument covering the description of the main payload elements, the atomic source concept, and the systematic error sources.
We propose a very long baseline atom interferometer test of Einsteins equivalence principle (EEP) with ytterbium and rubidium extending over 10m of free fall. In view of existing parametrizations of EEP violations, this choice of test masses significantly broadens the scope of atom interferometric EEP tests with respect to other performed or proposed tests by comparing two elements with high atomic numbers. In a first step, our experimental scheme will allow reaching an accuracy in the Eotvos ratio of $7times 10^{-13}$. This achievement will constrain violation scenarios beyond our present knowledge and will represent an important milestone for exploring a variety of schemes for further improvements of the tests as outlined in the paper. We will discuss the technical realisation in the new infrastructure of the Hanover Institute of Technology (HITec) and give a short overview of the requirements to reach this accuracy. The experiment will demonstrate a variety of techniques which will be employed in future tests of EEP, high accuracy gravimetry and gravity-gradiometry. It includes operation of a force sensitive atom interferometer with an alkaline earth like element in free fall, beam splitting over macroscopic distances and novel source concepts.
A major challenge common to all Galilean drop tests of the Universality of Free Fall (UFF) is the required control over the initial kinematics of the two test masses upon release due to coupling to gravity gradients and rotations. In this work, we present a two-fold mitigation strategy to significantly alleviate the source preparation requirements in space-borne quantum tests of the UFF, using a compensation mechanism together with signal demodulation. To this end, we propose a scheme to reduce the gravity-gradient-induced uncertainties in an atom-interferometric experiment in a dedicated satellite mission and assess the experimental feasibility. We find that with moderate parameters, the requirements on the initial kinematics of the two masses can be relaxed by five orders of magnitude. This does not only imply a significantly reduced mission time but also allows to reduce the differential acceleration uncertainty caused by co-location imperfections below the $10^{-18}$ level.
Einsteins theory of gravity, general relativity, has passed stringent tests in laboratories, elsewhere in the Solar Sytem, and in pulsar binaries. Nevertheless it is known to be incompatible with quantum mechanics and must differ from the true behaviour of matter in strong fields and at small spatial scales. A key aspect of general relativity to test is the strong equivalence principle (SEP), which states that all freely falling objects, regardless of how strong their gravity, experience the same acceleration in the same gravitational field. Essentially all alternatives to general relativity violate this principle at some level. Previous direct tests of the SEP are limited by the weak gravity of the bodies in the Earth-Moon-Sun system or by the weak gravitational pull of the Galaxy on pulsar-white dwarf binaries. PSR~J0337+1715 is a hierarchical stellar triple system, where the inner binary consists of a millisecond radio pulsar in a $1.6$-day orbit with a white dwarf. This inner binary is in a $327$-day orbit with another white dwarf. In this system, the pulsar and the inner companion fall toward the outer companion with an acceleration about $10^8$ times greater than that produced by falling in the Galactic potential, and the pulsars gravitational binding energy is roughly $10%$ of its mass. Here we report that in spite of the pulsars strong gravity, the accelerations experienced by it and the inner white dwarf differ by a fraction of no more than $2.6times 10^{-6}$ ($95%$ confidence level). We can roughly compare this to other SEP tests by using the strong-field Nordtvedt parameter $hateta_N$. Our limit on $hateta_N$ is a factor of ten smaller than that obtained from (weak-field) Solar-System SEP tests and a factor of almost a thousand smaller than that obtained from other strong-field SEP tests.
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