Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy

Abstract

In this paper we discuss behaviors of entanglement entropy between two interacting CFTs and its holographic interpretation using the AdS/CFT correspondence. We explicitly perform analytical calculations of entanglement entropy between two free scalar field theories which are interacting with each other in both static and time-dependent ways. We also conjecture a holographic calculation of entanglement entropy between two interacting $\mathcal{N}=4$ super Yang-Mills theories by introducing a minimal surface in the S${}^5$ direction, instead of the AdS${}_5$ direction. This offers a possible generalization of holographic entanglement entropy.

arXiv comment37 pages, 7 figures, v2: typos corrected, references added, v3: a ref. + a clarification note about minimal surfaces added

References in corpus (66)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Topological entanglement entropy
• Detecting topological order in a ground state wave function
• Aspects of Holographic Entanglement Entropy
• Entropy and Area
• A Covariant Holographic Entanglement Entropy Proposal
• Geometric and Renormalized Entropy in Conformal Field Theory
• Eternal Black Holes in AdS
• Towards a derivation of holographic entanglement entropy
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Generalized gravitational entropy
• Entanglement renormalization
• Building up spacetime with quantum entanglement
• On Geometric Entropy
• Entanglement Renormalization and Holography
• Holographic Entanglement Entropy: An Overview
• Holographic c-theorems in arbitrary dimensions
• The Holographic Bound in Anti-de Sitter Space
• Entropy and Temperature of Black 3-Branes
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Violation of the entropic area law for Fermions
• The Gravity Dual of a Density Matrix
• Seeing a c-theorem with holography
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
• Remarks on entanglement entropy for gauge fields
• Entanglement entropy, conformal invariance and extrinsic geometry
• Holographic Mutual Information is Monogamous
• Permeable conformal walls and holography
• A holographic proof of the strong subadditivity of entanglement entropy
• Black Hole Entropy and Entropy of Entanglement
• The Coulomb Branch of Gauge Theory from Rotating Branes
• Entanglement renormalization for quantum fields
• Decomposition of entanglement entropy in lattice gauge theory
• Entanglement entropy in gauge theories and the holographic principle for electric strings
• Entanglement Entropy from a Holographic Viewpoint
• Quantum Entanglement of Local Operators in Conformal Field Theories
• Holographic Geometry of Entanglement Renormalization in Quantum Field Theories
• Boundary Deformation Theory and Moduli Spaces of D-Branes
• Causal Holographic Information
• Comments on quantum gravity and entanglement
• Quantum Dimension as Entanglement Entropy in 2D CFTs
• Holographic evolution of the mutual information
• Large N BPS states and emergent quantum gravity
• The AdS/CFT Correspondence Conjecture and Topological Censorship
• Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories
• The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
• Light-sheets and AdS/CFT
• Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals
• Strong subadditivity and the covariant holographic entanglement entropy formula
• General properties of holographic entanglement entropy
• Holographic Geometry of cMERA for Quantum Quenches and Finite Temperature
• Do gauge fields really contribute negatively to black hole entropy?
• Quantum Criticality and the Kondo Lattice
• Volume Law for the Entanglement Entropy in Non-local QFTs
• Interacting String Multi-verses and Holographic Instabilities of Massive Gravity
• Entanglement spectra between coupled Tomonaga-Luttinger liquids: Applications to ladder systems and topological phases
• Tensor Network and Black Hole
• Entanglement entropy between two coupled Tomonaga-Luttinger liquids
• Quantum Entanglement and Thermal Reduced Density Matrices in Fermion and Spin Systems on Ladders
• On the Architecture of Spacetime Geometry
• Entanglement entropy on the fuzzy sphere
• Remarks on effective action and entanglement entropy of Maxwell field in generic gauge
• Entanglement Entropy of Coupled Conformal Field Theories and Fermi Liquids

Cited by in corpus (58)

• Quantum entanglement in condensed matter systems
• Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
• Information Transfer with a Gravitating Bath
• Surface/State Correspondence as a Generalized Holography
• De Sitter Holography and Entanglement Entropy
• Islands and Page curves in 4d from Type IIB
• Beyond Toy Models: Distilling Tensor Networks in Full AdS/CFT
• Quantum Information in Holographic Duality
• The central dogma and cosmological horizons
• Entanglement in De Sitter Space
• Variation of Entanglement Entropy in Scattering Process
• On entanglement entropy functionals in higher derivative gravity theories
• Entwinement in discretely gauged theories
• Holographic entanglement entropy and the internal space
• Holographic Complexity of Quantum Black Holes
• Gauge Invariant Target Space Entanglement in D-Brane Holography
• Information transfer with a twist
• Bulk Entanglement Entropy and Matrices
• Generalized entanglement entropy
• Holographic entanglement entropy in the nonconformal medium
• Ownerless island and partial entanglement entropy in island phases
• Entanglement shadows in LLM geometries
• Areas and entropies in BFSS/gravity duality
• Bulk geometry in gauge/gravity duality and color degrees of freedom
• Toward Holographic Reconstruction of Bulk Geometry from Lattice Simulations
• Target space entanglement in Matrix Models
• On the Entanglement Between Interacting Scalar Field Theories
• Entanglement, Soft Modes, and Celestial Holography
• Disentangling quantum matter with measurements
• Bulk reconstruction of metrics with a compact space asymptotically
• Entanglement from Dissipation and Holographic Interpretation
• Entanglement entropy and differential entropy for massive flavors
• Matrix Entanglement
• Momentum-Space Entanglement in Heisenberg Spin-Half Ladders
• Entanglement entropy in top-down models
• On holographic entanglement entropy of non-local field theories
• The Aharonov-Bohm Effect on Entanglement Entropy in Conformal Field Theory
• Universality in the tripartite information after global quenches: (generalised) quantum XY models
• Correlations vs connectivity in R-charge
• Entanglement Entropy in Internal Spaces and Ryu-Takayanagi Surfaces
• Minimal Areas from Entangled Matrices
• Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates
• Large-N transitions of the connectivity index
• Entanglement Entropy and Decoupling in the Universe
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Quenched coupling, entangled equilibria, and correlated composite operators: a tale of two O(N) models
• Entanglement Entropy of a Scalar Field in a Squeezed State
• Field Space Entanglement Entropy, Zero Modes and Lifshitz Models
• Direct Calculation of Mutual Information of Distant Regions
• Entanglement Entropy and Phase Space Density: Lowest Landau Levels and 1/2 BPS states
• Time Evolution after Double Trace Deformation
• Entanglement Entropy and Complexity in Dyonic Quantum Black Holes
• Holographic Cosmology and Phase Transitions of SYM theory
• Inspecting non-perturbative contributions to the Entanglement Entropy via wavefunctions
• Bulk quantum corrections to entwinement
• Vortex lattices in binary Bose-Einstein condensates: Collective modes, quantum fluctuations, and intercomponent entanglement
• Entanglement and mixed states of Young tableau states in gauge/gravity correspondence
• Perturbative calculation of field space entanglement entropy