Time Evolution of Entanglement Entropy in Holographic FLRW Cosmologies

Abstract

To understand the time-dependent quantum correlation in expanding universes, we study the time-dependent entanglement entropy in the braneworld model. If we take into account a generalized string cloud geometry caused by uniformly distributed open strings, cosmologies on the braneworld result in the standard Friedmann-Lemaître-Robertson-Walker cosmologies with various matter contents. On the dual field theory side, open strings are reinterpreted as a fundamental matter, while the black hole mass corresponds to the excitation energy of massless gauge bosons. In this work, we show how the string cloud geometry is matched to various braneworld cosmologie,s for example, eternal inflation, radiation-, and matter-dominated universes. Then, we investigate how the entanglement entropy evolves in those expanding universes.

arXiv comment25 pages

References in corpus (42)

• Gauge Theory Correlators from Non-Critical String Theory
• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Aspects of Holographic Entanglement Entropy
• A Covariant Holographic Entanglement Entropy Proposal
• Entanglement entropy and conformal field theory
• Towards a derivation of holographic entanglement entropy
• Generalized gravitational entropy
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• On space of integrable quantum field theories
• Entanglement entropy in free quantum field theory
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Brane-World Black Holes
• Dynamics of Anti-de Sitter Domain Walls
• Entanglement Tsunami: Universal Scaling in Holographic Thermalization
• Relative Entropy and Holography
• Dynamic Dilatonic Domain Walls
• Entanglement entropy, conformal invariance and extrinsic geometry
• Relative entropy and the Bekenstein bound
• A refinement of entanglement entropy and the number of degrees of freedom
• Entanglement growth during thermalization in holographic systems
• Entanglement Entropy from a Holographic Viewpoint
• Entanglement entropy in de Sitter space
• Comments on Holographic Entanglement Entropy and RG Flows
• String Fluid from Unstable D-branes
• Black holes in Einstein-Gauss-Bonnet gravity with a string cloud background
• On Shape Dependence and RG Flow of Entanglement Entropy
• TASI Lectures on Inflation
• Moving the CFT into the bulk with $T\bar{T}$
• Holographic Entanglement Entropy in Cutoff AdS
• Dissipative force on an external quark in heavy quark cloud
• Relevant Perturbation of Entanglement Entropy and Stationarity
• RG flow of entanglement entropy to thermal entropy
• Thermodynamic law from the entanglement entropy bound
• Moving Domain Walls in $Ad{S}_5$ and Graceful Exit from Inflation
• The Thermal Bath of de Sitter from Holography
• Domain wall cosmology and multiple accelerations
• Gravitational Collapse of the Shells with the Smeared Gravitational Source in Noncommutative Geometry
• Quantum entanglement in inflationary cosmology

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• Entanglement Entropy and Complexity of Multicomponent Universe from Holography