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

• URL: http://arxiv.org/abs/2603.17494v1
• Date: Wed, 18 Mar 2026 08:56:07 GMT
• Title: Anyon-Induced Criticality and Dynamical Stability in Non-Hermitian Many-Body Systems
• Abstract summary: We show that anyonic statistics fundamentally reshapes non-Hermitian many-body physics by intrinsically breaking pseudo-Hermiticity.<n>This anyon-induced transition occurs even when bosonic and pseudofermionic counterparts remain entirely real.
• Score: 9.275463661530262
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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