Related papers: Cat states and violation of the Bell-CHSH inequality in relativistic Quantum Field Theory

Cat states and violation of the Bell-CHSH inequality in relativistic Quantum Field Theory

URL: http://arxiv.org/abs/2601.05216v1
Date: Thu, 08 Jan 2026 18:41:06 GMT
Title: Cat states and violation of the Bell-CHSH inequality in relativistic Quantum Field Theory
Authors: M. S. Guimaraes, I. Roditi, S. P. Sorella,
Abstract summary: A cat state localized in the right Rindler wedge is employed to study the violation of the Bell-CHSH inequality in a relativistic scalar free Quantum Field Theory.<n>Being the superposition of two coherent states, cat states allow for the existence of interference terms which give rise to a violation of the Bell-CHSH inequality.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: A cat state localized in the right Rindler wedge is employed to study the violation of the Bell-CHSH inequality in a relativistic scalar free Quantum Field Theory. By means of the bounded Hermitian operator $sign(\varphi(f))$, where $\varphi(f)$ stands for the smeared scalar field, it turns out that the Bell-CHSH correlator can be evaluated in closed analytic form in terms of the imaginary error function. Being the superposition of two coherent states, cat states allow for the existence of interference terms which give rise to a violation of the Bell-CHSH inequality. As such, the present setup can be considered as an explicit realization of the results obtained by Summers-Werner.

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