Universal entanglement signatures of interface conformal field theories

Abstract

An interface connecting two distinct conformal field theories hosts rich critical behaviors. In this work, we investigate the entanglement properties of such critical interface theories for probing the underlying universality. As inspired by holographic perspectives, we demonstrate vital features of various entanglement measures regarding such interfaces based on several paradigmatic lattice models. Crucially, for two subsystems adjacent at the interface, the mutual information and the reflected entropy exhibit identical leading logarithmic scaling, giving an effective interface central charge that takes the same value as the smaller central charge of the two conformal field theories. Our work demonstrates that the entanglement measure offers a powerful tool to explore the rich physics in critical interface theories.

arXiv comment7 pages main text, 31 pages supplementary materials

References in corpus (64)

• 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
• The density-matrix renormalization group in the age of matrix product states
• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Aspects of Holographic Entanglement Entropy
• Geometric and Renormalized Entropy in Conformal Field Theory
• Calculation of reduced density matrices from correlation functions
• Reduced density matrices and entanglement entropy in free lattice models
• Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
• The Gravity Dual of a Density Matrix
• Causality & holographic entanglement entropy
• Holographic Entanglement of Purification
• Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
• Boundary conformal field theory approach to the two-dimensional critical Ising model with a defect line
• Permeable conformal walls and holography
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Entanglement hamiltonians in two-dimensional conformal field theory
• Entanglement of purification: from spin chains to holography
• Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
• Universality of corner entanglement in conformal field theories
• Entanglement Wedge Cross Section from the Dual Density Matrix
• Entanglement entropy in quantum impurity systems and systems with boundaries
• Tunneling in Quantum Wires: a Boundary Conformal Field Theory Approach
• Reflection and Transmission for Conformal Defects
• Universal entanglement entropy in 2D conformal quantum critical points
• Entanglement and boundary critical phenomena
• Holographic Calculation of Boundary Entropy
• Islands for Reflected Entropy
• Universal Entanglement and Boundary Geometry in Conformal Field Theory
• Entanglement through conformal interfaces
• Domain Walls for Two-Dimensional Renormalization Group Flows
• Entanglement Wedge Cross Sections Require Tripartite Entanglement
• Lattice supersymmetry and order-disorder coexistence in the tricritical Ising model
• Reflected Entropy for an Evaporating Black Hole
• Entanglement Wedge Cross Section from CFT: Dynamics of Local Operator Quench
• Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
• On entanglement evolution across defects in critical chains
• Entanglement entropy with localized and extended interface defects
• Quantum Impurity Entanglement
• Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
• Universal tripartite entanglement in one-dimensional many-body systems
• Entanglement Entropy of Quantum Wire Junctions
• Bending branes for DCFT in two dimensions
• Energy Reflection and Transmission at 2D Holographic Interfaces
• Holo-ween
• Entanglement entropy in the Ising model with topological defects
• Sailing past the End of the World and discovering the Island
• Exact results for the entanglement across defects in critical chains
• Impurity Entanglement Entropy and the Kondo Screening Cloud
• Reflected entropy, symmetries and free fermions
• Bulk Renormalization Group Flows and Boundary States in Conformal Field Theories
• Topological reflected entropy in Chern-Simons theories
• Reflected entropy for free scalars
• The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
• Universal entanglement crossover of coupled quantum wires
• RG boundaries and interfaces in Ising field theory
• Universal relations for holographic interfaces
• Universal Behavior of Entanglement Entropies in Interface CFTs from General Holographic Spacetimes
• Reflection and transmission of conformal perturbation defects
• Conducting fixed points for inhomogeneous quantum wires: a conformally invariant boundary theory
• Splitting interfaces in 4d $\mathcal{N}=4$ SYM
• Two-wire Junction of Inequivalent Tomonaga-Luttinger Liquids

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