弯曲时空中的干涉可见性
Interferometric Visibility in Curved Spacetimes
摘要：
在[M. Zych等人，国家通信2，505（2011）]，作者预测干涉可见度受引力场的影响，如果没有广义相对论的真时概念，这种影响就无法解释。在这项工作中，我们采取了不同的路线，并开始推导出相同的效果，使用牛顿极限中的局部洛伦兹变换的酉表示。此外，我们表明，由于重力的干涉可见性的影响仍然存在于不同的时空几何。然而，这种影响并不一定是由于适当时间的概念。例如，通过在史瓦西时空中建造一个“天文”马赫-曾德尔干涉仪，对干涉可见度的影响可能是由于另一个广义相对论效应，即测地岁差。此外，利用局域洛伦兹变换的幺正表示，我们证明了只要把量子的运动限制在二维空间平面上，这种干涉可见性的行为对任意时空都是普遍的。
英文摘要：
In [M. Zych et al., Nat. Commun. 2, 505 (2011)], the authors predicted that the interferometric visibility is affected by a gravitational field in way that cannot be explained without the general relativistic notion of proper time. In this work, we take a different route and start deriving the same effect using the unitary representation of the local Lorentz transformation in the Newtonian Limit. In addition, we show that the effect on the interferometric visibility due to gravity persists in different spacetime geometries. However, the influence is not necessarily due to the notion of proper time. For instance, by constructing a `astronomical' Mach-Zehnder interferometer in the Schwarzschild spacetime, the influence on the interferometric visibility can be due to another general relativistic effect, the geodetic precession. Besides, by using the unitary representation of the local Lorentz transformation, we show that this behavior of the interferometric visibility is general for an arbitrary spacetime, provided that we restrict the motion of the quanton to a two-dimensional spacial plane.
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