Anyon-Induced Criticality and Dynamical Stability in Non-Hermitian Many-Body Systems

Quantum Physics [Submitted on 18 Mar 2026] Anyon-Induced Criticality and Dynamical Stability in Non-Hermitian Many-Body Systems Yi Qin, Yee Sin Ang, Linhu Li, Ching Hua Lee We show that anyonic statistics fundamentally reshapes non-Hermitian many-body physics by intrinsically breaking pseudo-Hermiticity, leading to a unique real-complex spectral transition with characteristically dense states in ImE. This anyon-induced transition occurs even when bosonic and pseudofermionic counterparts remain entirely real, revealing a form of non-Hermitian criticality driven purely by exchange statistics. The resulting spectrum exhibits enhanced gaps in ImE that dynamically isolate dominant eigenstates, producing anomalously stable short-time quench dynamics for anyons. Our results identify anyonic statistics as an intrinsic mechanism for generating unconventional non-Hermitian critical behavior usually associated with highly non-local systems. Comments: 19 pages, 12 figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.17494 [quant-ph]   (or arXiv:2603.17494v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2603.17494 Focus to learn more Submission history From: Qin Yi [view email] [v1] Wed, 18 Mar 2026 08:56:07 UTC (3,234 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-03 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)