Quantum and classical correlations in the one-dimensional XY model with Dzyaloshinskii-Moriya interaction

TL;DR

This paper investigates how Dzyaloshinskii-Moriya interaction influences quantum and classical correlations in a one-dimensional XY spin chain, revealing non-analytic behaviors at critical points and deriving analytical expressions for these correlations.

Contribution

It provides analytical formulas for quantum and classical correlations in the XY model with DM interaction, highlighting their behaviors near critical points.

Findings

Correlations depend on DM interaction, anisotropy, and magnetic field.

Non-analyticities occur at critical points in correlation derivatives.

Analytical expressions for correlations are derived from spin-spin correlations.

Abstract

We study the effect of Dzyaloshinskii-Moriya (DM) interaction on pairwise quantum discord, entanglement, and classical correlation in the anisotropic XY spin-half chain. Analytical expressions for both quantum and classical correlations are obtained from the spin-spin correlation functions. We show that these pairwise quantities exhibit various behaviors in relation to the relative strengths of the DM interaction, the anisotropy and the magnetic intensity. We observe non-analyticities of the derivatives of both quantum and classical correlations with respect to the magnetic intensity at the critical point, with consideration of the DM interaction.