Scaling and universality of multipartite entanglement at criticality

TL;DR

This paper investigates how multipartite entanglement scales at critical points in 1D quantum models, revealing a universal logarithmic behavior linked to conformal field theory parameters.

Contribution

It demonstrates the universal logarithmic scaling of multipartite entanglement at criticality across different 1D models using geometric entanglement measures.

Findings

Multipartite entanglement scales as (c/12)log l at criticality

Scaling behavior is universal across models with the same central charge

Results support conformal field theory predictions for entanglement

Abstract

Using the geometric entanglement measure, we study the scaling of multipartite entanglement in several 1D models at criticality, specifically the linear harmonic chain and the XY spin chain encompassing both the Ising and XX critical models. Our results provide convincing evidence that 1D models at criticality exhibit a universal logarithmic scaling behavior ~(c/12)log l in the multipartite entanglement per region for a partition of the system into regions of size l, where c is the central charge of the corresponding universality class in conformal field theory.