Chaos in Systems with Quantum Group Symmetry

• URL: http://arxiv.org/abs/2510.23247v1
• Date: Mon, 27 Oct 2025 12:07:16 GMT
• Title: Chaos in Systems with Quantum Group Symmetry
• Authors: Victor Gorbenko, Aleksandr Zhabin,
• Abstract summary: We show an explicit example of a system with quantum group global symmetry which is chaotic.<n>The spin chain is non-unitary but PT-symmetric and, in addition to chaos, exhibits an interesting transition after which the eigenvalues become complex.
• Score: 45.88028371034407
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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