arXiv:2510.23247 · Physical review. B./Physical review. B

Chaos in systems with quantum group symmetry

Victor Gorbenko, A.N. Zhabin

Published Jul 27, 2026• 0 citations

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.

DOI: 10.1103/vsqk-kk11

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