Holographic Studies of Entanglement Entropy in Superconductors

TL;DR

This paper investigates how entanglement entropy behaves in a holographic superconductor model, revealing phase transition effects, ground state properties, and a novel intermediate-temperature transition.

Contribution

It provides the first detailed holographic analysis of entanglement entropy across superconducting phase transitions, including new intermediate-temperature phenomena.

Findings

Entanglement entropy reorganizes during the superconducting transition.

Behavior of entropy extends from transition to zero temperature.

Discovery of a novel transition at intermediate temperatures.

Abstract

We present the results of our studies of the entanglement entropy of a superconducting system described holographically as a fully back-reacted gravity system, with a stable ground state. We use the holographic prescription for the entanglement entropy. We uncover the behavior of the entropy across the superconducting phase transition, showing the reorganization of the degrees of freedom of the system. We exhibit the behaviour of the entanglement entropy from the superconducting transition all the way down to the ground state at T=0. In some cases, we also observe a novel transition in the entanglement entropy at intermediate temperatures, resulting from the detection of an additional length scale.