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- Title
Renormalization of the global quantum correlation and monogamy relation in the anisotropic Heisenberg XXZ model.
- Authors
Qin, Meng; Ren, Zhong-Zhou; Zhang, Xin
- Abstract
In this study, the global quantum correlation, monogamy relation and quantum phase transition of the Heisenberg XXZ model are investigated by the method of quantum renormalization group. We obtain, analytically, the expressions of the global negativity, the global measurement-induced disturbance and the monogamy relation for the system. The result shows that for a three-site block state, the partial transpose of an asymmetric block can get stronger entanglement than that of the symmetric one. The residual entanglement and the difference of the monogamy relation of measurement-induced disturbance show a scaling behavior with the size of the system becoming large. Moreover, the monogamy nature of entanglement measured by negativity exists in the model, while the nonclassical correlation quantified by measurement-induced disturbance violates the monogamy relation and demonstrates polygamy.
- Subjects
MONOGAMOUS relationships; QUANTUM correlations; OPTICAL quantum computing; STATISTICAL mechanics; QUANTUM field theory
- Publication
Quantum Information Processing, 2016, Vol 15, Issue 1, p255
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-015-1167-x