Bell-type correlation at quantum phase transitions in spin-1 chain
- URL: http://arxiv.org/abs/2010.09999v1
- Date: Tue, 20 Oct 2020 04:17:46 GMT
- Title: Bell-type correlation at quantum phase transitions in spin-1 chain
- Authors: Dongkeun Lee and Wonmin Son
- Abstract summary: We exploit a Bell-type correlation that is applied to the one-dimensional spin-1 XXZ chain.
The role of high-order terms in the criticality has been identified and their physical implications for the quantum phase has been revealed.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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