Universal quantum correlation close to quantum critical phenomena

TL;DR

This paper investigates quantum correlations in the Ising model near critical points using quantum renormalization group theory, revealing universal behavior and connections between different quantum correlation measures.

Contribution

It demonstrates that various quantum correlation measures exhibit universal critical exponents near phase transitions, linking entanglement and information-theoretic paradigms.

Findings

Quantum correlations highlight critical points and phase transitions.

Universal critical exponents are observed across different measures.

Quantum correlation measures are connected through their critical behavior.

Abstract

We study the ground state quantum correlation of Ising model in a transverse field (ITF) by implementing the quantum renormalization group (QRG) theory. It is shown that various quantum correlation measures and the Clauser-Horne-Shimony-Holt inequality will highlight the critical point related with quantum phase transitions, and demonstrate nonanalytic phenomena and scaling behavior when the size of the systems becomes large. Our results also indicate a universal behavior of the critical exponent of ITF under QRG theory that the critical exponent of different measures is identical, even when the quantities vary from entanglement measures to quantum correlation measures. This means that the two kinds of quantum correlation criterion including the entanglement-separability paradigm and the information-theoretic paradigm have some connections between them. These remarkable behaviors may have important implications on condensed matter physics because the critical exponent directly associates with the correlation length exponent.