论文标题
Spin-1链中量子相变的钟形相关性
Bell-type correlation at quantum phase transitions in spin-1 chain
论文作者
论文摘要
为了鉴定非平凡的量子相，我们利用了应用于一维自旋-1 XXZ链的钟形相关性。发现我们对二分钟相关的概括可以采用分解形式的横向自旋相关性以及高阶项。密度 - 矩阵肾上力化组的配方用于获得具有非平凡相的给定哈密顿量的基态。随后，通过分析基质产品状态来评估BellK-SLK型广义相关性。通过评估广义钟相关的第一矩和第二矩，可以精确地确定自旋-1模型中各种量子相变的类别。高阶术语在临界性中的作用已经确定，并且已经揭示了它们对量子阶段的物理意义。
For the identification of non-trivial quantum phase, we exploit a Bell-type correlation that is applied to the one-dimensional spin-1 XXZ chain. It is found that our generalization of bipartite Bell correlation can take a decomposed form of transverse spin correlation together with high-order terms. The formulation of density-matrix renormalisation group is utilized to obtain the ground state of a given Hamiltonian with non-trivial phase. Subsequently Bell-SLK-type generalized correlation is evaluated through the analysis of the matrix product state. Diverse classes of quantum phase transitions in the spin-1 model are identified precisely through the evaluation of the first and the second moments of the generalized Bell correlations. The role of high-order terms in the criticality has been identified and their physical implications for the quantum phase has been revealed.
