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

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....

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Bibliographic Details
Published inEntropy (Basel, Switzerland) Vol. 22; no. 11; p. 1282
Main Authors Lee, Dongkeun, Son, Wonmin
Format Journal Article
LanguageEnglish
Published Switzerland MDPI AG 12.11.2020
MDPI
Subjects
Anisotropy
bell-nonlocality
Chains
Correlation analysis
Information theory
Investigations
many-body systems
Onsite
Phase transitions
quantum phase transition
Symmetry
bell-nonlocality
quantum phase transition
many-body systems
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Summary: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.
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ISSN:1099-4300
1099-4300
DOI:10.3390/e22111282