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The phase observable measured by an atomic gravimeter built up on stimulated Raman transitions is discussed in a fully relativistic context. It is written in terms of laser phases which are invariant under relativistic gauge…

General Relativity and Quantum Cosmology · Physics 2014-09-16 Marc-Thierry Jaekel , Brahim Lamine , Serge Reynaud

A relativistic sub-picosecond model of gravitational time delay in radio astronomical observations is worked out and a new experimental test of general relativity is discussed in which the effect of retardation of gravity associated with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei Kopeikin , Ed Fomalont

We propose the Lagrangian formulation for describing the motion of a test particle in a general relativistic, stationary, and axially symmetric spacetime. The test particle is also affected by a radiation field, modeled as a coherent flux…

General Relativity and Quantum Cosmology · Physics 2018-05-07 Vittorio De Falco , Emmanuele Battista , Maurizio Falanga

Atom interferometers allow the measurement of the acceleration of freely falling atoms with respect to an experimental platform at rest on Earth's surface. Such experiments have been used to test the universality of free fall by comparing…

General Relativity and Quantum Cosmology · Physics 2016-11-17 Peter Wolf , Luc Blanchet , Christian J. Bordé , Serge Reynaud , Christophe Salomon , Claude Cohen-Tannoudji

The role of the equivalence principle in the context of non-relativistic quantum mechanics and matter wave interferometry, especially atom beam interferometry, will be discussed. A generalised form of the weak equivalence principle which is…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Claus Lämmerzahl

Quantum gravity is quite elusive at the experimental level; thus a lot of interest has been raised by recent searches for quantum gravity effects in the propagation of light from distant sources, like gamma ray bursters and active galactic…

General Physics · Physics 2010-12-03 Stefano Ansoldi , Edoardo Milotti

Interferometry is a prime technique for modern precision measurements. Atoms, unlike light, have significant interactions with electric, magnetic, and gravitational fields, making their use in interferometric applications particularly…

Quantum Gases · Physics 2023-07-12 Maren E. Mossman , Ryan A. Corbin , Michael McNeil Forbes , Peter Engels

In this chapter, we discuss recent work on precision Earth laboratory tests of different aspects of gravity. In particular the discussion is focused on those tests that can be used to probe hypothesis for physics beyond Newtonian gravity…

General Relativity and Quantum Cosmology · Physics 2023-05-11 Quentin G. Bailey

Gravitational-wave sources offer us unique testbeds for probing strong-field, dynamical and nonlinear aspects of gravity. In this chapter, we give a brief overview of the current status and future prospects of testing General Relativity…

General Relativity and Quantum Cosmology · Physics 2021-11-15 Zack Carson , Kent Yagi

The "Breakthrough Starshot" program is planning to send transrelativistic probes to travel to nearby stellar systems within decades. Since the probe velocity is designed to be a good fraction of the light speed, \citet{zha18} recently…

High Energy Astrophysical Phenomena · Physics 2019-10-09 Yuan-Pei Yang , Jin-Ping Zhu , Bing Zhang

For the study of Planck-scale modifications of the energy-momentum dispersion relation, which had been previously focused on the implications for ultrarelativistic (ultrafast) particles, we consider the possible role of experiments…

Recent developments in fundamental physics (in theory as well as in technology) provide novel capabilities for geodetic applications such as refined observations of the Earth`s gravity field. We will focus on two new concepts: one applies…

Geophysics · Physics 2016-09-02 Jürgen Müller

The phase of matter waves depends on proper time and is therefore susceptible to special-relativistic (kinematic) and gravitational (redshift) time dilation. Hence, it is conceivable that atom interferometers measure general-relativistic…

Quantum entanglement has the potential to revolutionize the entire field of interferometric sensing by providing many orders of magnitude improvement in interferometer sensitivity. The quantum-entangled particle interferometer approach is…

Quantum Physics · Physics 2007-05-23 Kishore T. Kapale , Leo D. Didomenico , Hwang Lee , Pieter Kok , Jonathan P. Dowling

We develop a relativistic treatment of interference between light reflected from a falling cube retroreflector in the vertical arm of an interferometer, and light in a reference beam in the horizontal arm. Coordinates that are nearly…

Geophysics · Physics 2018-01-17 Neil Ashby

The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the E\"otv\"os experiment, tests of…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Clifford M. Will

It is a commonly stated that the acceleration sensitivity of an atom interferometer is proportional to the space-time area enclosed between the two interfering arms. Here we derive the interferometric phase shift for an extensive class of…

Quantum Physics · Physics 2014-07-22 Gordon D. McDonald , Carlos C. N. Kuhn

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

In an ideal test of the equivalence principle, the test masses fall in a common inertial frame. A real experiment is affected by gravity gradients, which introduce systematic errors by coupling to initial kinematic differences between the…

We present a second-quantized field theory of massive spin one-half particles or antiparticles in the presence of a weak gravitational field treated as a spin two external field in a flat Minkowski background. We solve the difficulties…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Christian J. Bordé , Jean-Claude Houard , Alain Karasiewicz