Mutual information and correlation measures in holographic RG flows

TL;DR

This paper explores how various quantum correlation measures behave during holographic RG flows, revealing that multipartite correlations are key indicators of phase transitions in strongly coupled systems.

Contribution

It introduces a comparative analysis of mutual information, entanglement negativity, and multipartite correlations in holographic RG flows, highlighting the role of multipartite correlations in critical phenomena.

Findings

Mutual information remains smooth across phase transitions.

Entanglement negativity shows sharp changes near critical points.

Multipartite correlations are crucial in signaling phase transitions.

Abstract

This paper investigates the behavior of mutual information, entanglement negativity, and multipartite correlations in holographic RG flows, particularly during phase transitions. Mutual information provides a UV-finite measure of total correlations between subsystems, while entanglement negativity and multipartite correlations offer finer insights into quantum structures, especially near critical points. Through numerical simulations, we show that while mutual information remains relatively smooth, both entanglement negativity and multipartite correlations exhibit sharp changes near phase transitions. These results support the hypothesis that multipartite correlations play a dominant role in signaling critical phenomena in strongly coupled quantum systems.