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Numerical approach to the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory
arXiv
Authors: Philipe De Fabritiis, Marcelo S. Guimaraes, Itzhak Roditi, Silvio P. Sorella
Year
2024
Paper ID
65967
Status
Preprint
Abstract Read
~2 min
Abstract Words
81
Citations
N/A
Abstract
The Bell-CHSH (Clauser-Horne-Shimony-Holt) inequality in the vacuum state of a relativistic scalar quantum field is analyzed. Using Weyl operators built with smeared fields localized in the Rindler wedges, the Bell-CHSH inequality is expressed in terms of the Lorentz invariant inner products of test functions. A numerical framework for these inner products is devised. Causality is also explicitly checked by a numerical evaluation of the Pauli-Jordan function. Violations of the Bell-CHSH inequality are reported for different values of the particle mass parameter.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- The Bell-CHSH (Clauser-Horne-Shimony-Holt) inequality in the vacuum state of a relativistic scalar quantum field is analyzed.
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