Holographic multipartite entanglement structures in IR modified geometries

TL;DR

This paper explores how IR modifications in holographic geometries influence multipartite entanglement structures on the boundary, revealing extremal behaviors and providing insights into entanglement measures' sensitivities.

Contribution

It introduces a framework using IR geometric deformations to control and analyze extremal multipartite entanglement regimes in holography.

Findings

Multipartite entanglement measures saturate bounds in extremal geometries

IR deformations can realize extremal entanglement regimes

Different measures respond uniquely to geometric modifications

Abstract

We investigate how IR modifications of the bulk geometry reshape long-range multipartite entanglement on the boundary in holography. We modify the IR geometries in two opposite directions: spherical modifications that enhance long-range entanglement and hyperbolic modifications that suppress them. We utilize various multipartite entanglement measures/signals to analyze the multipartite entanglement structures. These measures/signals are combinations of entanglement entropy, multi-entropy, entanglement wedge cross sections (EWCS) and multi-EWCS. Our results reveal that in the extremal limits of these two geometric modifications, the multipartite entanglement structures exhibit starkly contrasting behaviors: various measures saturate either their theoretical upper or lower bounds in the respective geometries. This demonstrates that IR deformations provide a practical holographic framework for realizing extremal entanglement regimes. Moreover, it serves as an effective tool for studying quantum marginal problems in holography. Finally, by observing how different measures respond to these engineered geometries, we gain clarifying insights into the specific types of multipartite entanglement that each measure/signal is particularly sensitive to.