Different kinds of description and measure of multispin quantum correlation (MSQC) and the corresponding influence factors investigation not only advance the understanding of MSQC organization and structure, but also concern different kinds of specific potential applications with the superiorities compared to the corresponding classical ones. The previous conventional condensed matter theory approach researches all focused on some existing kinds of MSQC description and measure on the concrete interaction-model parameters based on a few ground-state solvable models. Here by using Matrix Product States (MPSs), we not only investigate the MSQC varying with the concrete interaction model parameters, but also investigate other influence factors including the total spin number (TSN) and the characteristic parameters of the MSQC concrete description and measure, starting with Von Neumann Entropy (VNE) distribution with influence factors. The long-wavelength VNE behavior is also investigated and analyzed. We then further study their physical mechanisms, especially for long-range MSQC beyond our previous cognition.

中文翻译：

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具有矩阵乘积状态影响因素的冯诺依曼熵分布

对多自旋量子相关（MSQC）的不同描述和测量以及相应的影响因素研究，不仅促进了对MSQC组织和结构的理解，而且涉及不同种类的特定潜在应用，与相应的经典应用相比具有优势。以往传统的凝聚态理论方法研究都集中在一些现有的MSQC描述和基于少数基态可解模型的具体相互作用模型参数的测量上。在这里，通过使用矩阵乘积状态 (MPS)，我们不仅研究了 MSQC 随具体交互模型参数的变化，但也研究了其他影响因素，包括总自旋数 (TSN) 和 MSQC 具体描述和测量的特征参数，从具有影响因素的冯诺依曼熵 (VNE) 分布开始。还研究和分析了长波长 VNE 行为。然后我们进一步研究它们的物理机制，特别是对于超出我们先前认知的远程 MSQC。