Imprints of LGI violation in Mesons

Abstract

Quantum mechanics has always proven emphatically as one of the main cornerstones in all of science since its inception. Initially, it has also faced many skeptics from many scientific proponents of its complete description of reality. However, John Bell once devised a theorem on quantitative grounds to show how local realism is expressed in quantum mechanics. As Bell's inequality claims the non-existence of local hidden variable theories, on the same footing, we have Leggett-Garg's Inequality (LGI), which sets a quantum-classical limit for temporally correlated quantum systems. In the context of particle physics, specially in the field of neutrino and meson oscillations, one can conveniently implement LGI to test the quantum foundations at the probability level. Here, we discuss the significant LGI violation characteristics in B- and K- meson oscillations, taking into account their decoherence, CP violation, and decay parameters. We have emphasized the fact that \textit{Tsirelson} bounds can be achieved under certain conditions. Our focal point is to show the signature of these bounds that appears only to specific alterations of decay and decoherence effects. Also, we discuss and comment on the behavior or effect of decoherence and decay widths playing out from the perspective of LGI by taking their available values from various experiments. This may help us to understand the underlying principles and techniques of neutral meson open quantum systems.

13 pages,7 figures

References in corpus (31)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Quantum Decoherence
• Violation of the Leggett-Garg inequality with weak measurements of photons
• Violation of the Leggett-Garg Inequality in Neutrino Oscillations
• The conditions for quantum violation of macroscopic realism
• A strict experimental test of macroscopic realism in a superconducting flux qubit
• Temporal quantum correlations and Leggett-Garg inequalities in multi-level systems
• Necessary and sufficient conditions for macroscopic realism from quantum mechanics
• Could light harvesting complexes exhibit non-classical effects at room temperature?
• Probing the Leggett-Garg Inequality for Oscillating Neutral Kaons and Neutrinos
• Leggett-Garg inequality in the context of three flavour neutrino oscillation
• Quantum correlations in B and K meson systems
• Wigner's form of the Leggett-Garg inequality, No-Signalling in Time, and Unsharp Measurements
• Study of coherence and mixedness in meson and neutrino systems
• A quantum information theoretic quantity sensitive to the neutrino mass-hierarchy
• Experimental violation of the Leggett-Garg inequality in a 3-level system
• Testing violation of the Leggett-Garg-type inequality in neutrino oscillations of the Daya Bay experiment
• Study of temporal quantum correlations in decohering B and K meson systems
• Unstable particles as open quantum systems
• Enhanced violations of Leggett-Garg inequalities in an experimental three-level system
• Determination of CP and CPT violation parameters in the neutral kaon system using the Bell-Steinberger relation and data from the KLOE experiment
• Loophole free interferometric test of macrorealism using heralded single photons
• No-signaling-in-time as a condition for macrorealism: the case of neutrino oscillations
• Enhanced violation of a Leggett-Garg inequality under nonequilibrium thermal conditions
• Necessary and sufficient conditions for macrorealism using two and three-time Leggett-Garg inequalities
• Algebraic maximum violation of the Leggett-Garg inequality in a two-level system under PT symmetric dynamics
• Probing inequivalent forms of Legget-Garg inequality in subatomic systems
• Enhanced violation of Leggett-Garg Inequality in three flavour neutrino oscillations via non-standard interactions
• Maximal violation of Bell inequality for any given two-qubit pure state
• Leggett-Garg inequalities and decays of unstable systems
• Tests of macrorealism in meson oscillation physics