Quantum correlations in a cluster-like system

Abstract

We discuss a cluster-like 1D system with triplet interaction. We study the topological properties of this system. We find that the degeneracy depends on the topology of the system, and well protected against external local perturbations. All these facts show that the system is topologically ordered. We also find a string order parameter to characterize the quantum phase transition. Besides, we investigate two-site correlations including entanglement, quantum discord and mutual information. We study the different divergency behaviour of the correlations. The quantum correlation decays exponentially in both topological and magnetic phases, and diverges in reversed power law at the critical point. And we find that in TQPT systems, the global difference of topology induced by dimension can be reflected in local quantum correlations.

7 pages, 6 figures

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Cited by in corpus (5)

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• Measures and applications of quantum correlations
• Quantum discord in the ground state of spin chains
• Synthesizing three-body interaction of spin chirality with superconducting qubits
• Global quantum discord and von Neumann entropy in multipartite two-level atomic systems