General relativistic effects in atom interferometry

被引:166
作者
Dimopoulos, Savas [1 ]
Graham, Peter W. [1 ,2 ]
Hogan, Jason M. [1 ]
Kasevich, Mark A. [1 ]
机构
[1] Stanford Univ, Dept Phys, Stanford, CA 94305 USA
[2] Stanford Univ, SLAC, Menlo Pk, CA 94025 USA
来源
PHYSICAL REVIEW D | 2008年 / 78卷 / 04期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.78.042003
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Atom interferoinetry is now reaching sufficient precision to motivate laboratory tests of general relativity. We begin by explaining the nonrelativistic 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. Both the atoms and the light are treated relativistically and all coordinate dependencies are removed, thus revealing novel terms, cancellations, and new origins for previously calculated terms. 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 nonlinear three-graviton coupling, the gravity of kinetic energy, and the falling of light. We propose specific experiments, one Currently under construction, to measure each of these effects. These experiments 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.
引用
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页数:29
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