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Quantum Physics

arXiv:2111.09979 (quant-ph)
[Submitted on 18 Nov 2021 (v1), last revised 9 Dec 2021 (this version, v2)]

Title:Leggett-Garg inequalities in the quantum field theory of neutrino oscillations

Authors:Massimo Blasone, Fabrizio Illuminati, Luciano Petruzziello, Luca Smaldone
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Abstract:We investigate Leggett-Garg temporal inequalities in flavor-mixing processes. We derive an exact flavor-mass uncertainty product and we establish that it is an upper bound to the violation of the inequalities. This finding relates temporal nonclassicality to quantum uncertainty and provides a time analog of the Tsirelson upper bound to the violation of the spatial Bell inequalities. By studying the problem both in the exact field-theoretical setting and in the limiting quantum mechanical approximation, we show that Leggett-Garg inequalities are violated more strongly in quantum field theory than in quantum mechanics.
Comments: 5 pages, 3 figures
Subjects: Quantum Physics (quant-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.09979 [quant-ph]
  (or arXiv:2111.09979v2 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.2111.09979

Submission history

From: Fabrizio Illuminati [view email]
[v1] Thu, 18 Nov 2021 23:47:07 UTC (614 KB)
[v2] Thu, 9 Dec 2021 17:19:32 UTC (614 KB)
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