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arXiv 1302.0002gr-qcastro-ph.EPquant-ph
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Chern-Simons引力对量子干涉的可能纬度效应

Possible latitude effects of Chern-Simons gravity on quantum interference

Hiroki Okawara, Kei Yamada, Hideki Asada

摘要:

最近有人提出,Chern-Simons引力对量子干涉仪的可能影响取决于地球上干涉仪绕太阳轨道运动的纬度和方向。在早期出版物[Okawara,Yamada和Asada,Phys. Rev. Lett. 109,231101(2012)],我们对非赤道情况下诱导相移的时间变化进行了数值计算。我们表明,在任何纬度的最大相移可能发生在6,0(和12),和18小时(当地时间)的每一天,当正常矢量的干涉仪是垂直的,东向和北向,分别。如果两个相同的干涉仪位于不同的纬度,则对于小的纬度差$δφ$,在相同的当地时间测量的两个相移之间的差将是$O(\sin δφ)$。例如,它可能因此成为$δφ\sim 10$度的最大$\sim 20$变量。

英文摘要:

It has been recently suggested that possible effects of Chern-Simons gravity on a quantum interferometer are dependent on the latitude and direction of the interferometer on Earth in orbital motion around Sun. Continuing work initiated in the earlier publication [Okawara, Yamada and Asada, Phys. Rev. Lett. 109, 231101 (2012)], we perform numerical calculations of time variation in the induced phase shifts for nonequatorial cases. We show that the maximum phase shift at any latitude might occur at 6, 0 (and 12), and 18 hours (in local time) of each day, when the normal vector to the interferometer is vertical, eastbound and northbound, respectively. If two identical interferometers were located at different latitudes, the difference between two phase shifts that are measured at the same local time would be $O(\sin δφ)$ for a small latitude difference $δφ$. It might thus become maximally $\sim 20$ percents for $δφ\sim 10$ degrees, for instance.

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