Gravitational redshift, equivalence principle, and matter waves

Hohensee, Michael; Estey, Brian; Monsalve, Francisco; Kim, Geena; Kuan, Pei-Chen; Lan, Shau-Yu; Müller, Holger

doi:10.1088/1742-6596/264/1/012009

Cited by 7 publications

(8 citation statements)

References 60 publications

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“…Note that the matter coefficients can in principle be separated from s T T by using deflecting bodies of differing composition. Alternatively, one can combine results from light-bending observations with current constraints on the matter sector coefficients from earth laboratory experiments [19].…”

Section: Summary and Estimatesmentioning

confidence: 99%

“…[13][14][15][16][17]. Measurements constraining the coefficients for the gravity sector have already begun using atom-interferometric gravimetry [18,19], lunar laser ranging [20], and shortrange gravity tests [21]. In this paper, we analyze one of the fundamental tests of GR, the bending of light, in the effective field theory framework of the SME.…”

Section: Introductionmentioning

confidence: 99%

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Light-bending tests of Lorentz invariance

Tso

Bailey

2011

Phys. Rev. D

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Classical light bending is investigated for weak gravitational fields in the presence of hypothetical local Lorentz violation. Using an effective field theory framework that describes general deviations from local Lorentz invariance, we derive a modified deflection angle for light passing near a massive body. The results include anisotropic effects not present for spherical sources in General Relativity as well as Weak Equivalence Principle violation. We develop an expression for the relative deflection of two distant stars that can be used to analyze data in past and future solar-system observations. The measurement sensitivities of such tests to coefficients for Lorentz violation are discussed.Comment: 9 pages, 7 figure

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Section: Summary and Estimatesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Light-bending tests of Lorentz invariance

Tso

Bailey

2011

Phys. Rev. D

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“…The main argument of MPC (see also the more detailed papers [12], [13]) is based on an analogy between atom interferometry experiments and classical clock experiments. The idea of clock experiments is to synchronize a pair of clocks when they are located closely to one another, and move them to different elevations in a gravitational field.…”

Section: A Analogy With Clock Experimentsmentioning

confidence: 99%

“…β = 0 in GR) enters as a correction in the atom's gravitational potential energy. Integrating the Lagrangian (13) along the paths given by the Lagrangian (12) shows that ∆ϕ S = β k g T 2 , where β takes the meaning of a redshiftviolation parameter. In particular we notice that β could be "universal", in contrast with the parameter β (a) X in (6) which depends on the type of atom (a) and on some internal energy X violating LPI.…”

Section: Analysis In the Multiple Lagrangian Formalismmentioning

confidence: 99%

Testing the gravitational redshift with atomic gravimeters?

Wolf¹,

Blanchet²,

Bordé³

et al. 2011

2011 Joint Conference of the IEEE International Frequency Control and the European Frequency and Time Forum (FCS) Proceedings

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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 the acceleration of the atoms to that of a classical freely falling object. In a recent paper, Müller, Peters and Chu [Nature 463, 926-929 (2010)] argued that atom interferometers also provide a very accurate test of the gravitational redshift (or universality of clock rates). Considering the atom as a clock operating at the Compton frequency associated with the rest mass, they claimed that the interferometer measures the gravitational redshift between the atom-clocks in the two paths of the interferometer at different values of gravitational potentials. In the present paper we analyze this claim in the frame of general relativity and of different alternative theories, and conclude that the interpretation of atom interferometers as testing the gravitational redshift at the Compton frequency is unsound. The present work is a summary of our extensive paper [Wolf et al., arXiv:1012.1194, to which the reader is referred for more details.

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“…They argue that the atom does not deliver a physical signal at the Compton frequency. MPC, however, stand by [13] their claim, which is approvingly quoted by the authors of [14] and repeated in [15,16], which include some of MPC as co-authors. The matter evidently is not settled.…”

Section: Introductionmentioning

confidence: 99%

Atom interferometry and the gravitational redshift

Sinha¹,

Samuel²

2011

Class. Quantum Grav.

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From the principle of equivalence, Einstein predicted that clocks slow down in a gravitational field. Since the general theory of relativity is based on the principle of equivalence, it is essential to test this prediction accurately. Müller, Peters and Chu claim that a reinterpretation of decade old experiments with atom interferometers leads to a sensitive test of this gravitational redshift effect at the Compton frequency. Wolf et al dispute this claim and adduce arguments against it.In this article, we distill these arguments to a single fundamental objection: an atom is not a clock ticking at the Compton frequency. We conclude that atom interferometry experiments conducted to date do not yield such sensitive tests of the gravitational redshift. Finally, we suggest a new interferometric experiment to measure the gravitational redshift, which realises a quantum version of the classical clock "paradox".

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Gravitational redshift, equivalence principle, and matter waves

Cited by 7 publications

References 60 publications

Light-bending tests of Lorentz invariance

Light-bending tests of Lorentz invariance

Testing the gravitational redshift with atomic gravimeters?

Atom interferometry and the gravitational redshift

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