Factorization and Criticality in the Anisotropic XY Chain via Correlations

TL;DR

This paper reviews how different quantum correlation measures detect critical and factorization points in the anisotropic XY spin chain at various temperatures, highlighting their effectiveness and limitations.

Contribution

It provides a comparative analysis of multiple correlation measures in identifying quantum criticality and factorization in the XY model, emphasizing their detection capabilities.

Findings

Correlation measures can detect quantum critical points effectively.

Some measures accurately identify the factorization point.

Temperature influences the sensitivity of correlation measures.

Abstract

In this review, we discuss the zero and finite temperature behavior of various bipartite quantum and total correlation measures, the skew information-based quantum coherence, and the local quantum uncertainty in the thermal ground state of the one-dimensional anisotropic XY model in transverse magnetic field. We compare the ability of considered measures to correctly detect or estimate the quantum critical point and the non-trivial factorization point possessed by the spin chain.