Controlling the Dynamical Evolution of Quantum Coherence and Quantum Correlations in $ e^{+}e^{-} \to Λ\barΛ$ Processes at BESIII

TL;DR

This work analyzes quantum coherence and a suite of quantum correlations in the BESIII process $e^{+}e^{-} \to J/\psi \to \Lambda\bar{\Lambda}$ by modeling the hyperon pair as a two-qubit system. The authors construct a Pauli-basis density operator, transform it to an X-state, and study its evolution under a correlated dephasing channel capturing classical memory effects through a parameter $\mu$, in both Markovian and non-Markovian regimes. They quantify steering, entanglement of formation, geometric quantum discord, and coherence, revealing that all resources peak near $\varphi=\frac{\pi}{2}$ and that increasing $\mu$ slows decoherence and memory-induced degradation, with non-Markovian dynamics producing oscillations. A hierarchical relationship $\text{coherence} \supseteq \text{GQD} \supseteq \text{E} \supseteq \text{steering}$ emerges, underscoring a robust framework for understanding how classical correlations influence quantum resources in high-energy processes and suggesting avenues for quantum-information applications in particle physics.

Abstract

Quantum coherence, a cornerstone of quantum mechanics, is of paramount importance for quantum information protocols. However, maintaining coherence in elementary particle systems presents significant challenges. In this work, we investigate quantum coherence and quantum correlations in the $e^{+}e^{-} \to Λ\barΛ$ processes at BESIII using experimentally feasible parameters, where $Λ$ and $\barΛ$ denote the spin-$1/2$ hyperon and its antihyperon, respectively. We analyze the dependence of quantum coherence and quantum correlations on the scattering angle $\varphi$. Notably, these resources reach their maximum at $\varphi=π/2$. We demonstrate that classical correlations can significantly delay the decay of quantum correlations and coherence. This study underscores the importance of understanding the interplay between classical and quantum correlations in high-energy particle physics, particularly in the context of hyperon-antihyperon interactions explored in the BESIII experiment. This result could have potential applications in quantum information processing and high-energy physics.

Figures (13)

• Figure 1: (a) Coordinate system $\{\boldsymbol{\hat{\rm x}}, \boldsymbol{\hat{\rm y}}, \boldsymbol{\hat{\rm z}}\}$ used in the rest frame of both $\text{Y}$ and $\bar{\text{Y}}$. (b) Feynman diagram representing the scattering process $e^{+}e^{-} \to J/\psi \to \text{Y}\bar{\text{Y}}$.
• Figure 2: Time evolution of quantum steering $\mathcal{S}_{\Lambda\bar{\Lambda}}$ in the Markovian regime ($\tau = 0.1$) is plotted for (a) $\mu = 0.8$ and (b) $\varphi=\pi/2$.
• Figure 3: Time evolution of quantum steering $\mathcal{S}_{\Lambda\bar{\Lambda}}$ in the non-Markovian regime ($\tau = 5$) is plotted for (a) $\mu = 0.8$ and (b) $\varphi=\pi/2$.
• Figure 4: Comparison of the quantum steerabilities $\mathcal{S}_{\Lambda\bar{\Lambda}}$ and $\mathcal{S}_{\bar{\Lambda}\Lambda}$ in the Markovian regime, for different values of $\varphi$ with $\mu = 0.6$ (a), and $\mu = 0.8$ (b), with $\tau = 0.1$.
• Figure 5: Comparison of the quantum steerabilities $\mathcal{S}_{\Lambda\bar{\Lambda}}$ and $\mathcal{S}_{\bar{\Lambda}\Lambda}$ in the Non-Markovian regime, for various value of $\varphi$ with $\mu = 0.6$ (a), and $\mu = 0.8$ (b), with $\tau = 5$.