Characterizing the width of entanglement

TL;DR

This paper introduces the concept of entanglement width as a measure of the spatial distribution of entanglement in multiparticle systems, providing criteria to detect it using global observables.

Contribution

It develops new criteria for detecting entanglement width in systems where individual particles cannot be addressed, distinguishing it from entanglement depth.

Findings

Criteria successfully applied to J1-J2-Heisenberg model

Demonstrates difference between entanglement depth and width

Applicable to systems with only global measurements

Abstract

We introduce the concept of entanglement width as measure of the spatial distribution of entanglement in multiparticle systems. We develop criteria to detect the width of entanglement using global observables such as energy and magnetic susceptibility. Therefore, the introduced entanglement criteria can be applied to systems where addressing of single particles is not possible. We apply the criteria to different examples such as the J1-J2- Heisenberg model and point out the difference between entanglement depth and entanglement width.