Probing the Leggett-Garg Inequality for Oscillating Neutral Kaons and Neutrinos

Abstract

The Leggett-Garg inequality (LGI) as a temporal analogue of Bell's inequality, derived using the notion of realism, is applied in a hitherto unexplored context involving the weak interaction induced two-state oscillations of decaying neutral kaons and neutrinos. The maximum violation of LGI obtained from the quantum mechanical results is significantly higher for the oscillating neutrinos compared to that for the kaons. Interestingly, the effect of CP non-invariance for the kaon oscillation is to enhance this violation while, for neutrinos, it is sensitive to the value of the mixing parameter.

4 pages, 1 figure, latex

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• Geuine tripartite entanglement in three-flavor neutrino oscillations
• New Test of Neutrino Oscillation Coherence with Leggett-Garg Inequality
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• Formulation of Leggett-Garg inequalities in terms of $q$-entropies
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• A new class of time-dependent Bell inequalities in Wigner form
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• Quantum Spread Complexity in Neutrino Oscillations
• Test of a hypothesis of realism in quantum theory using a bayesian approach
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• Are weak measurements really necessary for Leggett-Garg type measurements?
• Imprints of LGI violation in Mesons
• Quantumness of electron transport in quantum dot devices through Leggett-Garg inequalities: A non-equilibrium Green's function approach