标题： 多量子比特关联在相互作用驱动下的演化 显示英文标题

标题： Evolution of multi-qubit correlations driven by mutual interactions

摘要： 用于表征多量子比特系统的特别有用的工具是关联张量，它提供了实验上友好且理论上简洁的量子态表示。 在本工作中，我们分析由相互作用和外部场影响产生的由$\frac12$-自旋组成的量子系统关联张量元素的演化。 我们关注各向异性海森堡以及反称交换相互作用模型形式的两体相互作用。 系统的演化以关联空间中的轨迹形式可视化，该轨迹根据系统的频率表现出周期性或非周期性行为。 在两个$\frac12$-自旋的情况下，我们研究了几类哈密顿量的稳态关联，这允许对由哈密顿量生成演化的密度矩阵族进行全面表征。 我们讨论了2-和3-量子比特系统的一些共同特性，并展示了强外部场如何在某些关联特性方面起到稳定因素的作用。 显示英文摘要

摘要： A particularly useful tool for characterizing multi-qubit systems is the correlation tensor, providing an experimentally friendly and theoretically concise representation of quantum states. In this work, we analyze the evolution of the correlation tensor elements of quantum systems composed of $\frac12$-spins, generated by mutual interactions and the influence of the external field. We focus on two-body interactions in the form of anisotropic Heisenberg as well as antisymmetric exchange interaction models. The evolution of the system is visualized in the form of a trajectory in a suitable correlation space, which, depending on the system's frequencies, exhibits periodic or nonperiodic behavior. In the case of two $\frac12$-spins we study the stationary correlations for several classes of Hamiltonians, which allows a full characterization of the families of density matrices invariant under the evolution generated by the Hamiltonians. We discuss some common properties shared by the 2- and 3-qubit systems and show how a strong external field can play a stabilizing factor with respect to certain correlation characteristics.