Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model

TL;DR

This paper investigates multiparticle entanglement in the Lipkin-Meshkov-Glick model, demonstrating its effectiveness in detecting quantum phase transitions and revealing different behaviors based on magnetic coupling types.

Contribution

It provides a detailed analysis of multiparticle entanglement in the model, highlighting its role in identifying quantum phase transitions and how it varies with coupling parameters.

Findings

Multiparticle entanglement detects quantum phase transitions effectively.

Entanglement peaks at transition points in antiferromagnetic cases.

Different entanglement behaviors depend on anisotropic coupling in ferromagnetic cases.

Abstract

The multiparticle entanglement in the Lipkin-Meshkov-Glick model has been discussed extensively in this paper. Measured by the global entanglement and its generalization, our calculation shows that the multiparticle entanglement can faithfully detect quantum phase transitions. For an antiferromagnetic case the multiparticle entanglement reaches the maximum at the transition point, whereas for ferromagnetic coupling, two different behaviors of multiparticle entanglement can be identified, dependent on the anisotropic parameter in the coupling.