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.

7 pages main text, 31 pages supplementary materials

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Cited by in corpus (6)

• Holographic Reflected Entropy and Islands in Interface CFTs
• Universal time evolution of string order parameter in quantum critical systems with boundary invertible or non-invertible symmetry breaking
• Holographic dual of defect CFT with corner contributions
• Boundary Criticality of Complex Conformal Field Theory: A Case Study in the Non-Hermitian 5-State Potts Model
• Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed
• Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders