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We study the interplay of general relativity, the equivalence principle, and high-precision experiments involving atomic transitions and g factor measurements. In particular, we derive a generalized Dirac Hamiltonian, which describes both…

High Energy Physics - Phenomenology · Physics 2019-04-26 Ulrich D. Jentschura

The principle of equivalence postulating that an acceleration is indistinguishable from gravity by any experiment, is valid within families of particles having the same passive gravitational to inertial mass ratio $m_p/m_i$. Presently…

General Physics · Physics 2018-04-06 Clovis Jacinto de Matos , Murat Özer , Grzegorz Lukasz Izworsk

Since the first appearance of general relativity in 1916, various experiments have been conducted to test the theory. Due to the weakness of the interactions involved, all of the documented tests were carried out in a gravitational field…

General Relativity and Quantum Cosmology · Physics 2022-11-30 Mikołaj Myszkowski

Einstein`s equivalence principle states the complete physical equivalence of a gravitational field and corresponding inertial field in an accelerated reference frame. However, to what extent the equivalence principle remains valid in…

Quantum Physics · Physics 2018-02-14 Stefano Longhi

The coupling between internal degrees of freedom of quantum systems and their overall motion in an external gravitational field plays a central role in multiple extensions of Einstein's equivalence principle to quantum physics. While…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Thomas B. Mieling

Einstein's theory of general relativity predicts that a clock at a higher gravitational potential will tick faster than an otherwise identical clock at a lower potential, an effect known as the gravitational redshift. Here we perform a…

Atomic Physics · Physics 2023-07-28 Xin Zheng , Jonathan Dolde , Matthew C. Cambria , Hong Ming Lim , Shimon Kolkowitz

The equivalence principle of gravity is examined at the quantum level using the diffraction in time of matter waves in two ways. First, we consider a quasi-monochromatic beam of particles incident on a shutter which is removed at time $t =…

Quantum Physics · Physics 2022-07-12 Juan A. Cañas , J. Bernal , A. Martín-Ruiz

We report on a conceptually new test of the equivalence principle performed by measuring the acceleration in Earth's gravity field of two isotopes of strontium atoms, namely, the bosonic $^{88}$Sr isotope which has no spin vs the fermionic…

Atomic Physics · Physics 2014-07-11 M. G. Tarallo , T. Mazzoni , N. Poli , D. V. Sutyrin , X. Zhang , G. M. Tino

We consider a class of proposed gravitational wave detectors based on multiple atomic interferometers separated by large baselines and referenced by common laser systems. We compute the sensitivity limits of these detectors due to intrinsic…

General Relativity and Quantum Cosmology · Physics 2015-06-03 John G. Baker , James Ira Thorpe

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

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

Current attempts to probe general relativistic effects in quantum mechanics focus on precision measurements of phase shifts in matter-wave interferometry. Yet, phase shifts can always be explained as arising due to an Aharonov-Bohm effect,…

Quantum Physics · Physics 2011-11-09 Magdalena Zych , Fabio Costa , Igor Pikovski , Caslav Brukner

In Einstein's general relativity, geometry replaces the concept of force in the description of the gravitation interaction. Such an approach rests on the universality of free-fall--the weak equivalence principle--and would break down…

General Relativity and Quantum Cosmology · Physics 2016-11-09 R. Aldrovandi , J. G. Pereira , K. H. Vu

The Einstein Equivalence Principle (EEP) underpins all metric theories of gravity. One of its key aspects is the local position invariance (LPI) of non-gravitational experiments, which is captured by the gravitational red-shift. The iconic…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Daniel R. Terno , Francesco Vedovato , Matteo Schiavon , Alexander R. H. Smith , Piergiovanni Magnani , Giuseppe Vallone , Paolo Villoresi

The successful miniaturisation of extremely accurate atomic clocks and atom interferometers invites prospects for satellite missions to perform precision experiments. We discuss the effects predicted by general relativity and alternative…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Ruxandra Bondarescu , Andreas Schärer , Philippe Jetzer , Raymond Angélil , Prasenjit Saha , Andrew Lundgren

The conventional nature of synchronisation is discussed in inertial frames, where it is found that theories using different synchronisations are experimentally equivalent to special relativity. In contrary, in accelerated systems only a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Francois Goy

The general relativistic gravitomagnetic clock effect consists in the fact that two point particles orbiting a central spinning object along identical, circular equatorial geodesic paths, but in opposite directions, exhibit a time…

General Relativity and Quantum Cosmology · Physics 2007-11-12 Lorenzo Iorio

We propose a new scheme for an improved determination of the Newtonian gravitational constant G and evaluate it by numerical simulations. Cold atoms in free fall are probed by atom interferometry measurements to characterize the…

Atomic Physics · Physics 2021-07-12 M. Jain , G. M. Tino , L. Cacciapuoti , G. Rosi

If gravitation and electromagnetism are both described in terms of a symmetric metric tensor, then the deflection of an electron beam by a charged sphere should be different from its deflection according to the Reissner-Nordstr\"om solution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Murat Özer

We propose a compact atom interferometer to measure homogeneous constant forces guiding the arms via shortcuts to adiabatic paths. For a given sensitivity, which only depends on the space-time area of the guiding paths, the cycle time can…

Quantum Physics · Physics 2020-07-01 A. Rodriguez-Prieto , S. Martínez-Garaot , I. Lizuain , J. G. Muga
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