Infinite violation of Bell inequalities in inflation

• Kanno, Sugumi

• Soda, Jiro

Abstract

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 shows that the BMK inequalities are useful to classify the initial quantum state of the Universe.

Journal

• Physical Review D

  Physical Review D 96 (8), 083501-083501, 2017-10-03

  American Physical Society (APS)

Details

• CRID: 1050856995324034432
• NII Article ID: 120006366532
• DOI: 10.1103/physrevd.96.083501
• ISSN: 24700029
• ISSN: 24700010
• HANDLE: 20.500.14094/90004284
• Web Site: https://link.aps.org/article/10.1103/PhysRevD.96.083501
• Web Site: http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevD.96.083501/fulltext
• Text Lang: en
• Article Type: journal article
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