原子干涉测量中的广义相对论效应
General Relativistic Effects in Atom Interferometry
摘要：
原子干涉测量术现在已经达到了足够的精度，足以推动广义相对论的实验室测试。首先，我们解释了原子干涉仪中相移的非相对论计算，并推导出它的有效范围。由此我们发展了一种计算广义相对论相移的方法。然后利用该方法研究了弱引力场中原子干涉仪的相对论效应，并将其应用于实验室的广义相对论验证。潜在的可检验的相对论效应包括非线性三引力子耦合、动能引力和光的下落。我们提出了一些实验，目前正在建设中，可以提供一个测试的等效原理的10^15分之一（比目前的限制好300倍），和广义相对论在10%的水平，有许多潜在的未来改进。我们还考虑了其他指标的应用，包括透镜Thirring效应，宇宙的膨胀，以及首选帧和位置效应。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
