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Current models of quantum interference experiments in external gravitational fields lack a common framework: while matter-wave interferometers are commonly described using the Schr\"odinger equation with a Newtonian potential, gravitational…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Thomas B. Mieling , Thomas Morling , Christopher Hilweg , Philip Walther

Understanding physical phenomena at the intersection of quantum mechanics and general relativity remains a major challenge in modern physics. While various experimental approaches have been proposed to probe quantum systems in curved…

Quantum Physics · Physics 2026-03-27 Eyuri Wakakuwa

We introduce a convenient formalism to evaluate the frequency-shift affecting a light signal propagating on a general curved background. Our formulation, which is based on the laws of geometric optics in a general relativistic setting,…

General Relativity and Quantum Cosmology · Physics 2020-06-02 Daniel R. Terno , Giuseppe Vallone , Francesco Vedovato , Paolo Villoresi

Atom interferometry is now reaching sufficient precision to motivate laboratory tests of general relativity. We begin by explaining the non-relativistic calculation of the phase shift in an atom interferometer and deriving its range of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Savas Dimopoulos , Peter W. Graham , Jason M. Hogan , Mark A. Kasevich

We consider tests of short-distance modifications of gravity based on neutron interferometry in the scenario of large extra dimensions. Avoiding the non-computability problem in the calculation of the internal gravitational potential of…

General Relativity and Quantum Cosmology · Physics 2021-06-16 J. M. Rocha , F. Dahia

We study gravitational waves emitted by a binary system of non-spinning bodies in a quasi-circular inspiral within the framework of Einstein-aether theory. In particular, we compute explicitly and analytically the expressions for the…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Chao Zhang , Xiang Zhao , Anzhong Wang , Bin Wang , Kent Yagi , Nicolas Yunes , Wen Zhao , Tao Zhu

Rotation of polarization in an external gravitational field is one of the effects of general relativity that can serve as a basis for its precision tests. A careful analysis of reference frames is crucial for a proper evaluation of this…

General Relativity and Quantum Cosmology · Physics 2011-12-30 Aharon Brodutch , Tommaso F. Demarie , Daniel R. Terno

The effect of the Earth's gravitational potential on a quantum wave function has only been observed for massive particles. In this paper we present a scheme to measure a gravitationally induced phase shift on a single photon travelling in a…

In this paper, we study the phenomenon of quantum interference in the presence of external gravitational fields described by alternative theories of gravity. We analyze both non-relativistic and relativistic effects induced by the…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Luca Buoninfante , Gaetano Lambiase , Luciano Petruzziello

The influence od space-time curvature on quantum matter which can be theoretically described by covariant wave equations has not been experimentally established yet. In this paper we analyse in detail the suitability of the Ramsey atom beam…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Jürgen Audretsch , Karl-Peter Marzlin

Using a unified approach of optical-mechanical analogy in a semiclassical formula, we evaluate the effect of Chern-Simons modified gravity on the quantum phase shift of de Broglie waves in neutron interferometry. The phase shift calculated…

General Relativity and Quantum Cosmology · Physics 2009-11-06 K. K. Nandi , I. R. Kizirgulov , O. V. Mikolaychuk , N. P. Mikolaychuk , A. A. Potapov

An open question in experimental physics is the characterization of gravitational effects in quantum regimes. We propose an experimental set-up that uses well-tested techniques in cavity optomechanics to observe the effects of the…

Quantum Physics · Physics 2018-10-10 Abdulrahim Al Balushi , Wan Cong , Robert B. Mann

We study the effects of gravitational lensing on neutrino oscillations in the $\gamma$-spacetime which describes a static, axially-symmetric and asymptotically flat solution of the Einstein's field equations in vacuum. Using the…

General Relativity and Quantum Cosmology · Physics 2022-01-26 Hrishikesh Chakrabarty , Debasish Borah , Ahmadjon Abdujabbarov , Daniele Malafarina , Bobomurat Ahmedov

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…

General Relativity and Quantum Cosmology · Physics 2014-09-16 Peter Wolf , Luc Blanchet , Christian J. Bordé , Serge Reynaud , Christophe Salomon , Clande Cohen-Tannoudji

Since general relativity is a consistent low energy effective field theory, it is possible to compute quantum corrections to classical forces. Here we compute a quantum correction to the gravitational potential between a pair of polarizable…

High Energy Physics - Theory · Physics 2016-07-20 L. H. Ford , Mark P. Hertzberg , J. Karouby

Conventionally, one interprets the correlations observed in Einstein-Podolsky-Rosen experiments by Bell's inequalities and quantum nonlocality. We show, in this paper, that identical correlations arise, if the phase relations of…

Quantum Physics · Physics 2007-05-23 W. A. Hofer

Recent proposals suggested quantum clock interferometry for tests of the Einstein equivalence principle. However, atom interferometric models often include relativistic effects only in an ad hoc fashion. Here, instead, we start from the…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Gregor Janson , Richard Lopp

Several model-independent parameterizations of deviations from General Relativity have been developed to test Einstein's theory. Although these different parameterizations were developed for different gravitational observables, they…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Laura Sampson , Nicolas Yunes , Neil Cornish

This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jie Zhu , Hao Li

I analyze the change of the interference pattern in an optical interferometer when it passes from rest to free fall. It is shown that the "disconnection" of the gravitational field causes a jump in the phase difference that could be…

General Physics · Physics 2013-08-21 Eduardo Diaz-Miguel
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