Hyperfine Structure of Quantum Entanglement

Fuente: arXiv
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Autori principali: Mo, Liang-Hong, Zhou, Yao, Sun, Jia-Rui, Ye, Peng
Natura: Preprint
Pubblicazione: 2023
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author Mo, Liang-Hong
Zhou, Yao
Sun, Jia-Rui
Ye, Peng
author_facet Mo, Liang-Hong
Zhou, Yao
Sun, Jia-Rui
Ye, Peng
contents Quantum entanglement, crucial for understanding quantum many-body systems and quantum gravity, is commonly assessed through various measures such as von Neumann entropy, mutual information, and entanglement contour, each with its inherent advantages and limitations. In this work, we introduce the hyperfine structure of entanglement, which decomposes entanglement contours known as the fine structure into particle-number cumulants. This measure exhibits a set of universal properties with its significance in quantum information science. We apply it across diverse contexts: in Fermi gases, establishing connections to mutual information and interacting conformal field theory; in AdS$_3$/CFT$_2$ correspondence, unveiling finer subregion-subregion duality; and in Chern insulators, distinguishing between different quantum phases, especially topological gapped state and trivial gapped state. Our findings suggest experimental accessibility, offering fresh insights into quantum entanglement across physical systems.
format Preprint
id arxiv_https___arxiv_org_abs_2311_01997
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Hyperfine Structure of Quantum Entanglement
Mo, Liang-Hong
Zhou, Yao
Sun, Jia-Rui
Ye, Peng
Quantum Physics
Mesoscale and Nanoscale Physics
Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Theory
Quantum entanglement, crucial for understanding quantum many-body systems and quantum gravity, is commonly assessed through various measures such as von Neumann entropy, mutual information, and entanglement contour, each with its inherent advantages and limitations. In this work, we introduce the hyperfine structure of entanglement, which decomposes entanglement contours known as the fine structure into particle-number cumulants. This measure exhibits a set of universal properties with its significance in quantum information science. We apply it across diverse contexts: in Fermi gases, establishing connections to mutual information and interacting conformal field theory; in AdS$_3$/CFT$_2$ correspondence, unveiling finer subregion-subregion duality; and in Chern insulators, distinguishing between different quantum phases, especially topological gapped state and trivial gapped state. Our findings suggest experimental accessibility, offering fresh insights into quantum entanglement across physical systems.
title Hyperfine Structure of Quantum Entanglement
topic Quantum Physics
Mesoscale and Nanoscale Physics
Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Theory
url https://arxiv.org/abs/2311.01997