Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors

Abstract

Holographic superconductor is an important arena for holography, as it allows concrete calculations to further understand the dictionary between bulk physics and boundary physics. An important quantity of recent interest is the holographic complexity. Conflicting claims had been made in the literature concerning the behavior of holographic complexity during phase transition. We clarify this issue by performing a numerical study on one-dimensional holographic superconductor. Our investigation shows that holographic complexity does not behave in the same way as holographic entanglement entropy. Nevertheless, the universal terms of both quantities are finite and reflect the phase transition at the same critical temperature.

8 pages, improved version accepted by PLB

References in corpus (6)

• Building an AdS/CFT superconductor
• Gauss-Bonnet Holographic Superconductors
• Fidelity susceptibility made simple: A unified quantum Monte Carlo approach
• Analytical study on holographic superconductors with backreactions
• Cold Black Holes in the Harlow-Hayden Approach to Firewalls
• Renormalization group flows and quantum phase transitions: fidelity versus entanglement

Cited by in corpus (4)

• Holographic Entanglement Entropy in the QCD Phase Diagram with a Critical Point
• Complexity of AdS_5 black holes with a rotating string
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Topological invariants of the Ryu-Takayanagi ($RT$) surface used to observe holographic superconductor phase transition