Scaling of quantum correlation and monogamy relation near a quantum phase transitions in two-dimensional XY spin system

TL;DR

This paper investigates quantum correlations and monogamy relations in a two-dimensional XY spin system, demonstrating their effectiveness in detecting quantum phase transitions through numerical and theoretical analysis.

Contribution

It introduces a detailed analysis of quantum correlation and monogamy relations near quantum critical points in 2D XY models using quantum renormalization group theory.

Findings

Quantum correlation and nonlocality detect quantum critical points effectively.

First derivative of quantum correlation shows nonanalytic behavior at criticality.

Monogamy score can identify quantum phase transitions.

Abstract

The purpose of the paper is mainly to investigate the quantum critical behavior of two-dimensional XY spin system by calculating quantum correlation and monogamy relation through implementation of quantum renormalization group theory. Numerical analysis indicates that quantum correlation as well as quantum nonlocality can be used to efficiently detect the quantum critical property in two-dimensional XY spin system. The nonanalytic behavior of the first derivative of quantum correlation approaches infinity and the critical point is reached as the size of the model increases. Furthermore, we discuss the quantum correlation distribution in this model based on square of concurrence (SC) and square of quantum discord (SQD). The monogamous properties of SC and SQD are obtained for the present system. We finally reveal that the monogamy score can be used to capture the quantum critical point.