Mixed State Entanglement for Holographic Axion Model

TL;DR

This paper investigates mixed state entanglement in a holographic axion model, highlighting how mutual information and entanglement of purification better characterize entanglement than entanglement entropy, especially under thermal effects.

Contribution

It demonstrates that mutual information and entanglement of purification are more effective than entanglement entropy in describing mixed state entanglement in holographic models.

Findings

HEE shows universal monotonic behavior with system parameters.

MI and EoP are less influenced by thermal effects than HEE.

EoP is more suitable than MI for describing mixed state entanglement.

Abstract

We study the mixed state entanglement in a holographic axion model. We find that the holographic entanglement entropy (HEE), mutual information (MI) and entanglement of purification (EoP) exhibit very distinct behaviors with system parameters. The HEE exhibits universal monotonic behavior with system parameters, while the behaviors of MI and EoP relate to the specific system parameters and configurations. We find that MI and EoP can characterize mixed state entanglement better than HEE since they are less affected by thermal effects. Moreover, we argue that EoP is more suitable for describing mixed state entanglement than MI. Because the MI of large configurations are still dictated by the thermal entropy, while the EoP will never be controlled only by the thermal effects.