Weyl operators, Tomita-Takesaki theory, and Bell-Clauser-Horne-Shimony-Holt inequality violations

Abstract

The violation of the Bell-CHSH inequality in the vacuum state of a relativistic free real scalar field is established by means of the Tomita-Takesaki construction and of the direct computation of the correlation functions of Weyl operators.

10 pages, 2 figures, revised version. Accepted for publication in PRD

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Cited by in corpus (11)

• Imprints of screened dark energy on nonlocal quantum correlations
• Bell's inequality in relativistic Quantum Field Theory
• Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory
• Unruh-De Witt detectors, Bell-CHSH inequality and Tomita-Takesaki theory
• Using Weyl operators to study Mermin's inequalities in Quantum Field Theory
• Entanglement harvesting and curvature of entanglement: A modular operator approach
• Tomita-Takesaki theory and quantum concurrence
• Bell and Mermin inequalities in Quantum Field Theory from vacuum projectors and Weyl operators
• A study of the spin 1 Unruh-De Witt detectors
• Bell-CHSH inequality and unitary transformations in Quantum Field Theory
• Relative entropy of single-mode squeezed states in Quantum Field Theory