Bell-Type Correlation at Quantum Phase Transitions in Spin-1 Chain

• Main Authors: Dongkeun Lee, Wonmin Son
• Format: Article
• Language: English
• Published: MDPI AG 2020-11-01
• Series: Entropy
• Subjects: bell-nonlocality; quantum phase transition; many-body systems
• Online Access: https://www.mdpi.com/1099-4300/22/11/1282

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 the density-matrix renormalisation group is utilized to obtain the ground state of a given Hamiltonian with non-trivial phase. Subsequently Bell-type 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 have been revealed.