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Entropic Uncertainty in Spin XY Model with Long-Range Interactions
Article

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

by 1,2 and 1,*
1
Department of Physics, Sogang University, 35, Baekbeom-ro, Mapo-gu, Seoul 04107, Korea
2
Research Institute for Basic Science, Sogang University, 35, Baekbeom-ro, Mapo-gu, Seoul 04107, Korea
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(11), 1282; https://doi.org/10.3390/e22111282
Received: 30 September 2020 / Revised: 6 November 2020 / Accepted: 11 November 2020 / Published: 12 November 2020
(This article belongs to the Collection Quantum Information)
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. View Full-Text
Keywords: bell-nonlocality; quantum phase transition; many-body systems bell-nonlocality; quantum phase transition; many-body systems
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MDPI and ACS Style

Lee, D.; Son, W. Bell-Type Correlation at Quantum Phase Transitions in Spin-1 Chain. Entropy 2020, 22, 1282. https://doi.org/10.3390/e22111282

AMA Style

Lee D, Son W. Bell-Type Correlation at Quantum Phase Transitions in Spin-1 Chain. Entropy. 2020; 22(11):1282. https://doi.org/10.3390/e22111282

Chicago/Turabian Style

Lee, Dongkeun, and Wonmin Son. 2020. "Bell-Type Correlation at Quantum Phase Transitions in Spin-1 Chain" Entropy 22, no. 11: 1282. https://doi.org/10.3390/e22111282

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