Entropic Leggett-Garg inequality in neutrinos and B (K) meson systems

Abstract

Entropic Leggett-Garg inequality is studied in systems like neutrinos in the context of two and three flavor neutrino oscillations and in neutral $B_d$, $B_s$ 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 ${\mathcal{D}}^{[n]}$ 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 $B_d$ and $B_s$ systems.

References in corpus (12)

• Hidden Variables and the Two Theorems of John Bell
• Phenomenology with Massive Neutrinos
• Cosmic Bell Test: Measurement Settings from Milky Way Stars
• Entanglement in neutrino oscillations
• The conditions for quantum violation of macroscopic realism
• A scattering quantum circuit for measuring Bell's time inequality: a nuclear magnetic resonance demonstration using maximally mixed states
• Distinguishing quantum and classical transport through nanostructures
• Leggett-Garg inequalities and the geometry of the cut polytope
• Information-theoretic temporal Bell inequality and quantum computation
• Study of temporal quantum correlations in decohering B and K meson systems
• Decoherence and maximal violations of the Leggett-Garg inequality
• Determination of CP and CPT violation parameters in the neutral kaon system using the Bell-Steinberger relation and data from the KLOE experiment

Cited by in corpus (9)

• Leggett-Garg inequality in the context of three flavour neutrino oscillation
• Hierarchy of quantum correlations under non-Markovian dynamics
• Probing inequivalent forms of Legget-Garg inequality in subatomic systems
• Coherence and mixedness of neutrino oscillations in a magnetic field
• Violation of Leggett-Garg type inequalities in a driven two level atom interacting with a squeezed thermal reservoir
• Effect of memory on the violation of Leggett-Garg inequality
• Indirect detection of Cosmological Constant from interacting open quantum system
• Quantum speed of evolution of neutral mesons
• Quantum Simulation of Neutrino Oscillation and Dirac Particle Dynamics in Curved Space-time