Chaos in Systems with Quantum Group Symmetry
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917222652313600 |
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| author | Gorbenko, Victor Zhabin, Aleksandr |
| author_facet | Gorbenko, Victor Zhabin, Aleksandr |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_23247 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chaos in Systems with Quantum Group Symmetry Gorbenko, Victor Zhabin, Aleksandr High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons Quantum Physics 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. |
| title | Chaos in Systems with Quantum Group Symmetry |
| topic | High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2510.23247 |