Infinite violation of Bell inequalities in inflation
Infinite violation of Bell inequalities in inflation
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DOI：
10.1103/physrevd.96.083501
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发表时间：
2017-05
影响因子：
5
通讯作者：
S. Kanno;J. Soda
中科院分区：
文献类型：
--
作者：
S. Kanno;J. Soda
研究了膨胀条件下标量场初始量子态对Bell-Mermin-Klyshko(BMK)不等式的破坏。我们证明了标量场的双模压缩态--束-戴维斯真空最大限度地违反了贝尔不等式。然而，我们发现，对BMK不等式的破坏并不随着要测量的模数的增加而增加。然后，我们考虑了由两个标量场的四模压缩态表示的非束-戴维斯真空。值得注意的是，我们发现对BMK不等式的破坏随着要测量的模数的增加而指数增加。这表明，一些证据表明我们的宇宙具有量子力学起源，即使量子纠缠后来由于退相干而指数衰减，也可能在CMB数据中存活下来。
We study the violation of Bell-Mermin-Klyshko (BMK) inequalities in initial quantum states of scalar fields in inflation. We show that the Bell inequality is maximally violated by the Bunch-Davies vacuum which is a two-mode squeezed state of a scalar field. However, we find that the violation of the BMK inequalities does not increase with the number of modes to measure. We then consider a non-Bunch-Davies vacuum expressed by a four-mode squeezed state of two scalar fields. Remarkably, we find that the violation of the BMK inequalities increases exponentially with the number of modes to measure. This indicates that some evidence that our universe has a quantum mechanical origin may survive in CMB data even if quantum entanglement decays exponentially afterward due to decoherence.