Quantum correlations in a cluster-like system

TL;DR

This paper investigates a 1D topologically ordered system with triplet interactions, analyzing its degeneracy, phase transitions, and quantum correlations, revealing how topology influences local quantum properties.

Contribution

It introduces a topologically ordered 1D system with triplet interactions and characterizes its quantum phase transition using a string order parameter and correlation analysis.

Findings

Degeneracy depends on system topology and is protected against local perturbations.

Quantum correlations decay exponentially in phases and diverge at critical points.

Global topology differences influence local quantum correlations in TQPT systems.

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.