Global Quantum Correlation in the Ising model

TL;DR

This paper investigates quantum correlations in an Ising ring under a transverse magnetic field, revealing how global quantum correlation measures can detect critical phenomena beyond entanglement.

Contribution

It introduces a global quantum correlation measure sensitive to phase transitions in the Ising model, linking quantum correlations to critical behavior.

Findings

Quantum correlations change drastically at critical points.

Global measures can detect phase transitions beyond entanglement.

The approach relates quantum many-body properties to quantum correlation measures.

Abstract

We study quantum correlations in an isotropic Ising ring under the effects of a transverse magnetic field. After characterizing the behavior of two-spin quantum correlations, we extend our analysis to global properties of the ring, using a figure of merit for quantum correlations that shows enough sensitivity to reveal the drastic changes in the properties of the system at criticality. This opens up the possibility to relate statistical properties of quantum many-body systems to suitably tailored measures of quantum correlations that capture features going far beyond standard quantum entanglement.