Cat states and violation of the Bell-Clauser-Horne-Shimony-Holt inequality in relativistic quantum field theory
Abstract
A cat state localized in the right Rindler wedge is employed to study the violation of the Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH) inequality in a relativistic scalar-free quantum field theory. By means of the bounded Hermitian operator sign ( φ ( f ) ) , where φ ( 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.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Quantum Mechanics and Applications
Advanced Operator Algebra Research
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 6
- Publication date
- 19 February 2026
- Language
- EN