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arXiv:2412.03260 · Astrophysics and space science proceedings

Quantum Correlations in Neutrino and Neutral Meson Oscillations

Subhashish Banerjee

Published Jan 1, 2025• 0 citations
arXivHTMLPDF
DOI
10.1007/978-3-031-90186-7_39

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A quantum wave packet treatment of neutrino and neutral K and B meson oscillations is presented which incorporates the recoil particle in the production process, and includes the effect of the localization and lifetime of the source assumed to be a resonance or unstable particle. This approach removes the ambiguities in the conventional single particle treatment of these oscillations with the recoil particle. A fundamental connection between the stochastic decay time of the source and the space-time coordinates of the correlated final state particles is derived.
Entropic Leggett–Garg inequality is studied in systems like neutrinos in the context of two and three flavor neutrino oscillations and in neutral BdB_dBd​ , BsB_sBs​ and K mesons. The neutrino dynamics is described with the matter effect taken into consideration. For the decohering B / K meson systems, the effect of decoherence and CP violation have also been taken into account, using the techniques of open quantum systems. Enhancement in the violation with increase in the number of measurements has been found, in consistency with findings in spin-s systems. The effect of decoherence is found to bring the deficit parameter D[n]\mathscr {D}^{[n]}D[n] closer to its classical value zero, as expected. The violation of entropic Leggett–Garg inequality lasts for a much longer time in K meson system than in BdB_dBd​ and BsB_sBs​ systems.