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arXiv · 2510.23247

Chaos in Systems with Quantum Group Symmetry

Victor Gorbenko·Aleksandr Zhabin
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Abstract

Quantum groups have a long and fruitful history of applications in integrable systems. Can quantum group symmetries exist in the absence of integrability? We provide an explicit example of a system with quantum group global symmetry which is chaotic. The example is a spin chain with next-to-nearest interaction term. We show the chaotic behavior of the system by studying the Eigenvalue statistics. The spin chain is non-unitary but PT-symmetric and, in addition to chaos, exhibits an interesting transition after which the eigenvalues become complex.

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Victor Gorbenko, Aleksandr Zhabin. 2025-10-27. Chaos in Systems with Quantum Group Symmetry. https://doi.org/10.1103/vsqk-kk11

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