In the past decade, there has been significant attention on the sudden transition and freezing phenomena of quantum correlations in open system dynamics. In this study, we aim to explore how the quantum steering ellipsoid can be used to characterize the sudden transition of decoherence. Our findings reveal that the shape of the quantum steering ellipsoid undergoes a qualitative change at the transition point during the decoherence process under two commonly encountered noise channels. This observation provides valuable insights into the connection between the sudden transition of decoherence and the geometric properties of the quantum steering ellipsoid. We gain a deeper understanding of this relationship by visually analyzing the changes in the ellipsoid’s shape. Additionally, we compare these results with those obtained using the one-norm geometric quantum discord. This comparison further validates the significance of the sudden transition observed in the quantum steering ellipsoid and highlights the advantages of using this geometric measure. Overall, our study contributes to the understanding of quantum correlations in open systems and provides a visually appealing and intuitive way to analyze the sudden transitions of decoherence using the quantum steering ellipsoid.

在过去的十年中，开放系统动力学中量子关联的突然转变和冻结现象引起了人们的广泛关注。在这项研究中，我们的目标是探索如何使用量子转向椭球来表征退相干的突然转变。我们的研究结果表明，在两个常见的噪声通道下，在退相干过程中，量子转向椭球的形状在过渡点发生了质的变化。这一观察结果为了解退相干的突然转变与量子转向椭球体的几何特性之间的联系提供了有价值的见解。通过直观地分析椭球形状的变化，我们可以更深入地了解这种关系。此外，我们将这些结果与使用一范数几何量子不一致获得的结果进行比较。这一比较进一步验证了在量子转向椭球体中观察到的突然转变的重要性，并强调了使用这种几何测量的优势。总的来说，我们的研究有助于理解开放系统中的量子相关性，并提供了一种视觉上有吸引力且直观的方法来使用量子转向椭球体分析退相干的突然转变。