Infinite violation of Bell inequalities in inflation

Sugumi Kanno, Jiro Soda

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

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.

Original languageEnglish
Article number083501
JournalPhysical Review D
Volume96
Issue number8
DOIs
Publication statusPublished - Oct 15 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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