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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.17494 |
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| _version_ | 1866908897149714432 |
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| author | Qin, Yi Ang, Yee Sin Li, Linhu Lee, Ching Hua |
| author_facet | Qin, Yi Ang, Yee Sin Li, Linhu Lee, Ching Hua |
| contents | 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 Im$E$. 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 Im$E$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17494 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Anyon-Induced Criticality and Dynamical Stability in Non-Hermitian Many-Body Systems Qin, Yi Ang, Yee Sin Li, Linhu Lee, Ching Hua Quantum Physics 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 Im$E$. 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 Im$E$ 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. |
| title | Anyon-Induced Criticality and Dynamical Stability in Non-Hermitian Many-Body Systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.17494 |