Measuring the Newtonian constant of gravitation with a differential free-fall gradiometer: A feasibility study

Rothleitner, Christian; Francis, Olivier

doi:10.1063/1.4869875

Cited by 6 publications

(5 citation statements)

References 23 publications

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“…Before concluding the present discussion, it is important to mention another free-fall based G experiment proposed by Rothleitner et al and widely discussed in [16]. Here, the laser interferometer system previously discussed is extended with three freely falling probe masses, forming a double vertical gradiometer setup.…”

Section: Free-fall Experimentsmentioning

confidence: 96%

Challenging the ‘BigG’ measurement with atoms and light

Rosi¹

2016

J. Phys. B: At. Mol. Opt. Phys.

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The measurement of the Newtonian gravity constant G is a formidable task. Starting from the first determination made by Henry Cavendish in 1798, several attempts have been made in order to improve knowledge of its value. Nevertheless, despite these efforts, its uncertainty has decreased only by a factor of ten per century. Cold atom interferometry represents a conceptually different technique to challenge the G measurement, a feature that is crucial in order to identify discrepancies among previous measurements. In this review paper, after a short introduction on the traditional measurement techniques, I will describe and discuss past and ongoing G determination based on atom interferometry, highlighting for each of them the most significant aspects.

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Section: Free-fall Experimentsmentioning

confidence: 96%

Challenging the ‘BigG’ measurement with atoms and light

Rosi¹

2016

J. Phys. B: At. Mol. Opt. Phys.

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“…In this experiment, except for the statistical error which has been discussed in [10], background noises and geometric errors in uence the accuracy of G measurement. In general, for the background noises, such as those from environmental changes (ground vibrations) or tilts in the set-up, they can be eliminated with a differential measurement (including three freefalling atom clouds) [24,25]. For geometric errors, such as the uncertainties of the atomic initial condition and the gravitational source position, they are the main limitation factor of the experimental accuracy.…”

Section: Measurement Of the Newtonian Gravitational Constantmentioning

confidence: 99%

Establishing the quasi-inertial reference system based on free-falling atom and its application on gravity experiments

Wang

Tan

et al. 2020

Class. Quantum Grav.

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We construct a quasi-inertial reference system for the atom interferometer in terms of the light-field compensation, which is equivalent to the establishment of a quantum drag-free system. The compensation considered in our approach involves feedbacks of both classical and quantum nature. As a result, it may significantly reduce the dependence of the interferometric phase shift on the atomic initial position and velocity. As the error bound for gravity experiments originates primarily from the uncertainties in the initial conditions, the proposed quasi-inertial reference system might lead to substantial improvement in this regard. To be specific, the refined process introduced in the present study gives rise to the possibility of the measurement of the Newtonian gravitational constant G beyond the precision level of 10−6, as well as the test of the weak equivalence principle beyond 10−14. Moreover, when compared with the conventional quasi-inertial reference based on macroscopic objects, additional quantum feedback plays an essential role concerning both theoretical rigor and practical performance enhancement. We further explore the possibility of implementing the proposed quasi-inertial reference system in ongoing experimental developments.

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“…Gravity gradiometers have been widely used in various fields from scientific research to resource exploration. The measurement of gravity gradient is essential for measuring the Newtonian gravitational con stant G [18][19][20][21] and gravity field curvature [22]. In testing the equivalence principle, knowing in advance the absolute value of the gravity gradient helps to suppress the dependence of the gravity gradient [23,24].…”

Section: Introductionmentioning

confidence: 99%

The self-attraction effect in an atom gravity gradiometer

Zhang¹,

Mao²,

Luo³

et al. 2020

Metrologia

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The selfattraction effect (SAE) is an important systematic error in a highprecision atom interferometry gravimeter, which has been researched. In this paper, we use the finite element method (FEM) to calculate the SAE of an atom gravity gradiometer. In this way, the SAE of the gravity gradiometer is accurately determined, and the calculation result shows this effect is 235(8) E (1 E = 1×10 −9 s −2 ) in the atom gravity gradiometer. Based on this calculation, this effect in many highprecision experiments can be corrected.

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Measuring the Newtonian constant of gravitation with a differential free-fall gradiometer: A feasibility study

Cited by 6 publications

References 23 publications

Challenging the ‘BigG’ measurement with atoms and light

Challenging the ‘BigG’ measurement with atoms and light

Establishing the quasi-inertial reference system based on free-falling atom and its application on gravity experiments

The self-attraction effect in an atom gravity gradiometer

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