Holographic Entanglement Entropy in P-wave Superconductor Phase Transition

TL;DR

This paper studies how entanglement entropy behaves during a holographic p-wave superconductor phase transition, revealing its effectiveness as a probe for different types of phase transitions in a gravitational setting.

Contribution

It demonstrates that entanglement entropy can effectively characterize the order of phase transitions in holographic p-wave superconductors.

Findings

Entanglement entropy changes dramatically across the transition.

It mimics the thermal entropy of black holes.

It distinguishes between first and second order phase transitions.

Abstract

We investigate the behavior of entanglement entropy across the holographic p-wave superconductor phase transition in an Einstein-Yang-Mills theory with a negative cosmological constant. The holographic entanglement entropy is calculated for a strip geometry at AdS boundary. It is found that the entanglement entropy undergoes a dramatic change as we tune the ratio of the gravitational constant to the Yang-Mills coupling, and that the entanglement entropy does behave as the thermal entropy of the background black holes. That is, the entanglement entropy will show the feature of the second order or first order phase transition when the ratio is changed. It indicates that the entanglement entropy is a good probe to investigate the properties of the holographic phase transition.