English

Quantum correlations in a cluster-like system

Quantum Physics 2015-05-19 v1

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.

Keywords

Cite

@article{arxiv.1009.2846,
  title  = {Quantum correlations in a cluster-like system},
  author = {Yi-Xin Chen and Sheng-Wen Li and Zhi Yin},
  journal= {arXiv preprint arXiv:1009.2846},
  year   = {2015}
}

Comments

7 pages, 6 figures

R2 v1 2026-06-21T16:14:05.276Z