Quantum algebra in the mixed light pseudoscalar meson states

TL;DR

This paper explores how quantum algebra Y(su(3)) can be used to manipulate and understand the entanglement properties of pseudoscalar meson states, linking quantum information and particle physics.

Contribution

It introduces a method to control meson state entanglement using transition operators derived from quantum algebra Y(su(3)).

Findings

Entanglement degrees can be tuned by specific transition operators.

Diagrams illustrate how entanglement varies with different operators.

The approach connects quantum algebra with meson state manipulation.

Abstract

In this paper, we investigate the entanglement degrees of pseudoscalar meson states via quantum algebra Y(su(3)). By making use of transition effect of generators J of Y(su(3)), we construct various transition operators in terms of J of Y(su(3)), and act them on eta-pion-eta 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 desired entanglement degree can be achieved by acting proper chosen transition operator on an initial state. This sheds new light on the connect among quantum information, particle physics and Yangian algebra.