Quantum correlations in B and K meson systems

TL;DR

This paper investigates quantum correlations in unstable meson-antimeson systems, using a novel semigroup formalism to analyze their time evolution and compare different measures of quantum correlations.

Contribution

It introduces a new approach to study quantum correlations in unstable particles, extending foundational quantum correlation analysis to meson systems.

Findings

Quantum correlations in meson systems differ from stable particles.

The semigroup formalism effectively models unstable particle dynamics.

Relations between quantum correlation measures are nontrivially different from stable systems.

Abstract

The interplay between the various measures of quantum correlations are well known in stable optical and electronic systems. Here, for the first time, we study such foundational issues in unstable quantum systems. Specifically we study meson-antimeson systems, which are produced copiously in meson factories. We use the semigroup formalism to compute the time evolution of several measures of quantum correlations for three meson systems (K-Kbar, Bd-Bdbar and Bs-Bsbar), circumventing difficulties which arise using other methods due to the instability of these particles. We then compare these measures to one another and find that the relations between them can be nontrivially different from those of their stable counterparts such as neutrinos.