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arXiv · 0802.4098

General Relativistic Effects in Atom Interferometry

Savas Dimopoulos·Peter W. Graham·Jason M. Hogan·Mark A. Kasevich
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Abstract

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 validity. From this we develop a method for calculating the phase shift in general relativity. This formalism is then used to find the relativistic effects in an atom interferometer in a weak gravitational field for application to laboratory tests of general relativity. The potentially testable relativistic effects include the non-linear three-graviton coupling, the gravity of kinetic energy, and the falling of light. We propose experiments, one currently under construction, that could provide a test of the principle of equivalence to 1 part in 10^15 (300 times better than the present limit), and general relativity at the 10% level, with many potential future improvements. We also consider applications to other metrics including the Lense-Thirring effect, the expansion of the universe, and preferred frame and location effects.

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Savas Dimopoulos, Peter W. Graham, Jason M. Hogan, Mark A. Kasevich. 2008-08-26. General Relativistic Effects in Atom Interferometry. https://doi.org/10.1103/physrevd.78.042003

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