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Mechanical quantum systems, such as resonators and levitated particles, offer unique opportunities for quantum metrology. Particularly, their significant mass and quantum-level control enable applications in measuring gravitational effects.…

We analyze magnetometry using an optically levitated nanodiamond. We consider a configuration where a magnetic field gradient couples the mechanical oscillation of the diamond with its spin degree of freedom provided by a Nitrogen vacancy…

Quantum Physics · Physics 2017-08-09 Pardeep Kumar , M. Bhattacharya

When it comes to searches for extensions to general relativity, large efforts are being dedicated to accurate predictions for the power spectrum of density perturbations. While this observable is known to be sensitive to the gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-08 Claudio Llinares , Nuala McCullagh

We derive the scalar-tensor modification of the gravitational field of an ultrarelativistic particle beam and its effect on a test particle that is used as sensor. To do so, we solve the linearized scalar-tensor gravity field equations…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Christian Pfeifer , Dennis Rätzel , Daniel Braun

We propose a system for passive magnetic levitation and three-dimensional harmonic trapping of soft ferromagnets. Our protocol utilizes the magnetic field gradient for vertical trapping, and the finite size effect of the Meissner effect for…

Quantum Physics · Physics 2023-08-31 Maria Fuwa

Modified gravitational wave propagation is a smoking gun of modifications of gravity at cosmological scales, and can be the most promising observable for testing such theories. The observation of gravitational waves (GW) in recent years has…

General Relativity and Quantum Cosmology · Physics 2022-03-18 Francesco Iacovelli , Andreas Finke , Stefano Foffa , Michele Maggiore , Michele Mancarella

We report an experimental test of non-Newtonian gravitational forces at mi- crometer range. To experimentally subtract off the Casimir force and the electrostatic force background, differential force measurements were performed by sensing…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Pengshun Luo , Jianbo Wang , Shengguo Guan , Wenjie Wu , Zhaoyang Tian , Shanqing Yang , Chenggang Shao , Jun Luo

Observation time is the key parameter for improving the precision of measurements of gravitational quantum states of particles levitating above a reflecting surface. We propose a new method of long confinement in such states of atoms,…

Instrumentation and Detectors · Physics 2020-06-16 V. V. Nesvizhevsky , F. Nez , S. A. Vasiliev , E. Widmann , P. Crivelli , S. Reynaud , A. Yu. Voronin

In this paper, we address the question as to whether or not measurable sources for gravitational waves could possibly be made in the laboratory. Based on an analogy of the dynamical Casimir effect with the stimulated emission of radiation…

General Relativity and Quantum Cosmology · Physics 2017-12-27 R. Y. Chiao , J. S. Sharping , L. A. Martinez , B. S. Kang , A. Castelli , N. A. Inan , J. J. Thompson

In this work, quantum gravity effects, which can potentially be measured in magnetometers through the Larmor frequency of atoms in an external magnetic field, are estimated. It is shown that the thermal motion of atoms can, in principle,…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Mitja Fridman , James Maldaner , Gil Porat , Saurya Das

The Schr\"odinger-Newton (SN) equation introduces a nonlinear self-gravitational term to the standard Schr\"odinger equation, offering a paradigmatic model for semiclassical gravity. However, the small deviations it predicts from standard…

Analytically solving the magnetostatic Maxwell equations in the bispherical coordinates, we calculate the magnetic field around two uniformly magnetized spheres oriented so that their magnetic moments are parallel to the axis passing…

Classical Physics · Physics 2025-01-10 Denis Nikolaevich Sob'yanin

MOG is a fully relativistic modified theory of gravity based on an action principle. The MOG field equations are exactly solvable numerically in two important cases. In the spherically symmetric, static case of a gravitating mass, the…

General Relativity and Quantum Cosmology · Physics 2010-11-25 J. W. Moffat , V. T. Toth

In this paper we propose, in a preliminary way, a new Earth-based laboratory experiment aimed to the detection of the gravitomagnetic field of the Earth. It consists of the measurement of the difference of the circular frequencies of two…

General Relativity and Quantum Cosmology · Physics 2012-07-31 Lorenzo Iorio

For space-borne gravitational wave detectors,such as LISA and TianQin ,the disturbance caused by the coupling of test masses and the external magnetic fields is one of the main sources of the residual acceleration noise. Although the…

Instrumentation and Detectors · Physics 2025-03-05 Yuanyang Yu , Butian Zhang , Shengxin Lin , Jianping Liang , Donghua Pan , Shun Wang , Ze-Bing Zhou

Modified gravity theories have richer observational consequences for large-scale structure than conventional dark energy models, in that different observables are not described by a single growth factor even in the linear regime. We examine…

Astrophysics · Physics 2009-02-20 Bhuvnesh Jain , Pengjie Zhang

Magnetic interaction between a weighing sample and an external magnetic field allows to measure characteristics of magnetic field (a sample with known magnetic characteristics), as well as the magnetic properties of a sample (a known…

In a previous work (arXiv:1609.05654v2), an experimental setup aiming at the measurement of deviations from the Newtonian $1/r^2$ distance dependence of gravitational interactions was proposed. The theoretical idea behind this setup was to…

High Energy Physics - Phenomenology · Physics 2022-02-28 J. Baeza-Ballesteros , A. Donini , S. Nadal-Gisbert

We present a new measurement of the Newtonian gravitational constant G based on cold atom interferometry. Freely falling samples of laser-cooled rubidium atoms are used in a gravity gradiometer to probe the field generated by nearby source…

Atomic Physics · Physics 2012-07-19 G. Lamporesi , A. Bertoldi , L. Cacciapuoti , M. Prevedelli , G. M. Tino

We analyze cosmography as a tool to constrain modified gravity theories. We take four distinct models and obtain their parameters in terms of the cosmographic parameters favored by observational data of strong gravitational lensing. We…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Mario H. Amante , Andrés Lizardo , Javier Chagoya , C. Ortiz