Scaling of genuine multiparticle entanglement at a quantum phase transition

TL;DR

This paper studies how genuine multiparticle entanglement scales and distributes in a quantum spin chain at a phase transition, revealing divergence and finite-size scaling behaviors.

Contribution

It provides the first analysis of the scaling and spatial distribution of multiparticle entanglement at a quantum phase transition in the XY-model.

Findings

Genuine multiparticle entanglement diverges logarithmically at the transition.

Genuine three- and four-particle entanglement obeys finite-size scaling.

Spatial distribution of entanglement shows characteristic patterns near criticality.

Abstract

We investigate the scaling and spatial distribution of genuine multiparticle entanglement in three- and four-spin reduced states of the one-dimensional XY-model at the quantum phase transition. We observe a logarithmic divergence and show that genuine three- and four-particle entanglement obeys finite-size scaling.