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Review of Entanglement Entropy in Non-Hermitian Quantum Many-Body Systems: From Area Laws to Exceptional Criticality

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Authors: Qingxu Li, Zhi-Ling Huang, Jia-Ji Zhu

Year

2026

Paper ID

60219

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

82

Citations

0

Abstract

Entanglement entropy serves as a fundamental diagnostic for quantum many-body correlations, distinguishing quantum entanglement from classical stochastic fluctuations. This review systematically explores the scaling behaviors of entanglement entropy, beginning with the foundational area law in Hermitian systems and progressing to the exotic regimes of non-Hermitian physics. We focus on the mathematical apparatus of the Fisher-Hartwig theorem in fermionic chains, the biorthogonal formalism in non-unitary systems, and the emergence of negative entanglement entropy driven by exceptional boundary states and non-unitary conformal field theories.

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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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  • Entanglement entropy serves as a fundamental diagnostic for quantum many-body correlations, distinguishing quantum entanglement from classical stochastic fluctuations.

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