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Quantum correlations in neutrino oscillations in curved spacetime
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Gravity induced neutrino-antineutrino oscillations are studied in the context of one and two flavor scenarios. This allows one to investigate the particle-antiparticle correlations in two and four level systems, respectively. Flavor entropy is used to probe the entanglement in the system. The well known witnesses of non-classicality such as Mermin and Svetlichly inequalities are investigated. Since the extent of neutrino-antineutrino oscillation is governed by the strength of the gravitational field, the behavior of non-classicality shows interesting features as one varies the strength of the gravitational field. Specifically, the suppression of the entanglement with the increase of the gravitational field is observed which is witnessed in the form of decrease in the flavor entropy of the system. The features of the Mermin and the Svetlichny inequalities allow one to make statements about the degeneracy of neutrino mass eigenstates.
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Probing the quantum speed limit and entanglement in flavor oscillations of neutrino-antineutrino system in curved spacetime
Gravity-induced neutrino-antineutrino oscillations near a rotating primordial black hole are computed in Kerr-Schild polar coordinates, with quantum speed limit and entanglement entropy estimated.
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