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arXiv quant-ph/9908013quant-phgr-qc
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非均匀引力场中的测量诱导干涉

Measurement-induced interference in an inhomogeneous gravitational field

A. Camacho

摘要:

一个非常有趣的量子力学效应是引力诱导干涉的出现,这已经被发现。这种效应还向我们表明,重力是量子水平的,而不是纯粹的几何效应,所使用粒子的质量在干涉表达式中显式出现。在这项工作中,我们将推广以前的一些结果。它将表明,在传播的粒子,沉浸在地球的引力场,其坐标被连续监测的二阶近似的引入,使我们能够包括,在相应的复杂的振荡器,频率现在取决于几何形状的源的引力场,这是一个事实,是不存在的情况下的均匀场。利用这个传播子,我们将分析两个坐标被连续监测的粒子束的干涉图样。我们将把我们的结果与均匀场的情况以及科莱拉、奥弗豪泽和维尔纳实验的测量输出进行比较,发现对引力场源几何形状依赖性的差异可以使它们各自的测量输出产生可检测的差异。

英文摘要:

A very interesting quantum mechanical effect is the emergence of gravity-induced interference, which has already been detected. This effect also shows us that gravity is at the quantum level not a purely geometric effect, the mass of the employed particles appears explicitly in the interference expression. In this work we will generalize some previous results. It will be shown that the introduction of a second order approximation in the propagator of a particle, immersed in the Earth's gravitational field, and whose coordinates are being continuously monitored, allows us to include, in the corresponding complex oscillator, a frequency which now depends on the geometry of the source of the gravitational field, a fact that is absent in the case of a homogeneous field. Using this propagator we will analyze the interference pattern of two particle beams whose coordinates are being continuously monitored. We will compare our results againt the case of a homogeneous field, and also against the measurement ouputs of the Colella, Overhauser, and Werner experiment, and find that the difference in the dependence upon the geometry of the source of the gravitational field could render detectable differences in their respective measurement outputs.

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