Comments on the Bell-Clauser-Horne-Shimony-Holt inequality
- URL: http://arxiv.org/abs/2301.02245v1
- Date: Thu, 5 Jan 2023 05:17:38 GMT
- Title: Comments on the Bell-Clauser-Horne-Shimony-Holt inequality
- Authors: S. P. Sorella
- Abstract summary: In Quantum Mechanics the entangled spin singlet states are thought as the vacuum states of suitable Hamiltonians.
The Bell-CHSH inequality turns out to be parametrized by the Unruh temperature.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We point out that the violation of the Bell-CHSH inequality in Quantum
Mechanics exhibits a simple understanding when the entangled spin singlet
states are thought as the vacuum states of suitable Hamiltonians. The
construction of the four bounded operators entering the Bell-CHSH inequality
can be worked out in an elementary way. The inequality acquires a form in which
its violation can be traced back to the vacuum properties, a feature which
enables us to make a bridge among a large class of models, whose vacuum state
can be described by a Bogoliubov transformation as, for example: superfluids,
superconductors and Quantum Field Theories. The examples of a pair of entangled
spin 1 particles in Quantum Mechanics and of the scalar field in relativistic
Quantum Field Theory are discussed. In the latter case, we rely on the relation
expressing the Minkowski vacuum in terms of left and right Rindler modes. As
such, the Bell-CHSH inequality turns out to be parametrized by the Unruh
temperature.
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