Universal entanglement signatures of interface conformal field theories

Fuente: arXiv
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Main Authors: Tang, Qicheng, Wei, Zixia, Tang, Yin, Wen, Xueda, Zhu, W.
Format: Preprint
Published: 2023
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_version_ 1866914634765697024
author Tang, Qicheng
Wei, Zixia
Tang, Yin
Wen, Xueda
Zhu, W.
author_facet Tang, Qicheng
Wei, Zixia
Tang, Yin
Wen, Xueda
Zhu, W.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2308_03646
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Universal entanglement signatures of interface conformal field theories
Tang, Qicheng
Wei, Zixia
Tang, Yin
Wen, Xueda
Zhu, W.
Statistical Mechanics
High Energy Physics - Theory
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.
title Universal entanglement signatures of interface conformal field theories
topic Statistical Mechanics
High Energy Physics - Theory
url https://arxiv.org/abs/2308.03646