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Universal entanglement signatures of interface conformal field theories. (arXiv:2308.03646v2 [cond-mat.stat-mech] UPDATED)

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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.

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