Bell nonlocality from twisted statistics

Abstract:We investigate Bell correlations for a free real quantum scalar field on the noncommutative Moyal plane. Although the free field dynamics and the one-particle sector remain unchanged, the deformation enters through twisted multiparticle statistics and its Fock-space dressing representation. A classical external source coupled locally to the twist-dressed quantum field prepares coherent superpositions of momentum-pair configurations propagating toward two spacelike-separated laboratories. The momentum-dependent twist phases are generally nonfactorizable and generate entanglement between the corresponding wave-packet modes. We show that suitable local mode measurements lead to a violation of the CHSH Bell inequality. The resulting correlations provide an operational probe of the noncommutative structure encoded in the multiparticle sector of the quantum field.

arXiv:2608.06359 [quant-ph]

(or arXiv:2608.06359v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.06359 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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