Quantum algebra in mixed light pseudoscalar meson states

Abstract

In this paper, we investigate the entanglement degrees of pseudoscalar meson states via Yangian algebra Y(SU(3)). By making use of the transition effect of generators J of Y(SU(3)), we construct various transition operators, and act with them on the η–π 0–η′ mixing meson state. The entanglement degrees of both the initial state and final state are calculated with the help of entropy theory. The diagrams of entanglement degrees are presented. Our result shows that a state with the desired entanglement degree can be achieved by acting with a properly chosen transition operator on an initial state. Some combinations of generators of Y(SU(3)) make the constitutions of the initial state change, and lead to superpositions of particles with different electrical charges. This sheds new light on the connections among quantum information, particle physics and Yangian algebra.