Holographic entanglement entropy and complexity in St$\ddot{u}$ckelberg superconductor

Abstract

The holographic superconductors, as one of the most important application of gauge/gravity duality, promote the study of strongly coupled superconductors via classical general relativity living in one higher dimension. One of the interesting properties in holographic superconductor is the appearance of first and second order phase transitions. Recently, another active studies in holographic framework is the holographic entanglement entropy and complexity evaluated from gravity side. In this note, we study the properties of the holographic entanglement entropy and complexity crossing both first and second order phase transitions in St$\ddot{u}$ckelberg superconductor. We find that they behave differently in two types of phase transitions. We argue that holographic entanglement entropy and complexity conjectured with the volume can also be a possible probe to the type of superconducting phase transition.

arXiv comment13 pages,5 figures; Published version

References in corpus (49)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Stress Tensor for Anti-de Sitter Gravity
• Building an AdS/CFT superconductor
• Lecture Notes on Holographic Renormalization
• Holographic Superconductors
• Breaking an Abelian gauge symmetry near a black hole horizon
• Complexity Equals Action
• Complexity and Shock Wave Geometries
• Complexity, action, and black holes
• The gravity dual of a p-wave superconductor
• Zero Temperature Limit of Holographic Superconductors
• Holographic model of superfluidity
• Comments on Holographic Complexity
• Introduction to Holographic Superconductors
• Holographic Complexity
• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
• Gravity Dual of Quantum Information Metric
• Towards A Holographic Model of D-Wave Superconductors
• Introduction to Holographic Superconductor Models
• Switchbacks and the Bridge to Nowhere
• A Holographic Study on Vector Condensate Induced by a Magnetic Field
• A holographic approach to phase transitions
• Holographic Entanglement Entropy in P-wave Superconductor Phase Transition
• The Stückelberg Holographic Superconductors with Weyl corrections
• Entanglement Entropy and Wilson Loop in Stückelberg Holographic Insulator/Superconductor Model
• Holographic Complexity in Gauge/String Superconductors
• Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors
• Characterization of Quantum Phase Transition using Holographic Entanglement Entropy
• Divergences in the rate of complexification
• A complexity/fidelity susceptibility g-theorem for AdS${}_3$/BCFT${}_2$
• Complexity of Holographic Superconductors
• Holographic entanglement entropy in metal/superconductor phase transition with Born-Infeld electrodynamics
• Holographic complexity of anisotropic black branes
• Holographic entanglement entropy in general holographic superconductor models
• Holographic entanglement entropy in superconductor phase transition with dark matter sector
• Holographic Entanglement Entropy in 2D Holographic Superconductor via $Ad{S}_3/CF{T}_2$
• Complexity growth rate during phase transitions
• Very General Holographic Superconductors and Entanglement Thermodynamics
• Conductivity and entanglement entropy of high dimensional holographic superconductors
• Holographic Subregion Complexity in Einstein-Born-Infeld theory
• Holographic complexity: A tool to probe the property of reduced fidelity susceptibility
• Holographic entanglement entropy in metal/superconductor phase transition with exponential nonlinear electrodynamics
• Holographic complexity of local quench at finite temperature
• Holographic phase transitions from higgsed, non abelian charged black holes
• Holographic subregion complexity of a 1+1 dimensional $p$-wave superconductor
• Holographic complexity under a global quantum quench
• Is volume the holographic dual of fidelity susceptibility?

Cited by in corpus (15)

• Spontaneous Holographic Scalarization of Black Holes in Einstein-Scalar-Gauss-Bonnet Theories
• Circuit complexity for generalised coherent states in thermal field dynamics
• Holographic complexity and thermodynamics of AdS black holes
• Magnetotransport and Complexity of Holographic Metal-Insulator Transitions
• Informational properties for Einstein-Maxwell-Dilaton Gravity
• Mixed State Entanglement and Thermal Phase Transitions
• Time dependence of complexity for Lovelock black holes
• Entanglement Wedge Minimum Cross-section in Holographic Massive Gravity Theory
• On the Complexity of a $2+1$--dimensional Holographic Superconductor
• Topological invariants of the Ryu-Takayanagi ($RT$) surface used to observe holographic superconductor phase transition
• Complexity growth for topological black holes by holographic method
• Entanglement Entropy of Annulus in Holographic Thermalization
• Weighting gates in circuit complexity and holography
• Complexity Growth of Dyonic Black holes with Quartic Field Strength Corrections
• Diagnosing quantum phase transition via holographic entanglement entropy at finite temperature