Quasi-integrability from PT-symmetry
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915882468376576 |
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| author | Abhinav, Kumar Guha, Partha Mukherjee, Indranil |
| author_facet | Abhinav, Kumar Guha, Partha Mukherjee, Indranil |
| contents | Parity and time-reversal (PT ) symmetry is shown as the natural cause of quasi-integrability of deformed integrable models, crucial to represent real physical systems as they posses various irregularities. The condition for asymptotic conservation of quasi-conserved charges appear as a direct consequence of the PT -symmetric phase of the system, ensuring definite PT -properties of the corresponding Lax pair as well as that of the anomalous contribution, consistent with the Wilson-loop criterion for integrability-like behavior. As a result, the quasi-deformed charge densities always acquire definite PT -properties suitable for the asymptotic conservation, as the Abelianization approach to construct them also preserves the definite PT -behavior of the Lax pair. This PT -symmetry based origin of quasi-conservation is general and has been demonstrated for quasi-deformations of multiple systems such as KdV, NLSE and non-local NLSE. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05065 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-integrability from PT-symmetry Abhinav, Kumar Guha, Partha Mukherjee, Indranil Exactly Solvable and Integrable Systems Mathematical Physics Parity and time-reversal (PT ) symmetry is shown as the natural cause of quasi-integrability of deformed integrable models, crucial to represent real physical systems as they posses various irregularities. The condition for asymptotic conservation of quasi-conserved charges appear as a direct consequence of the PT -symmetric phase of the system, ensuring definite PT -properties of the corresponding Lax pair as well as that of the anomalous contribution, consistent with the Wilson-loop criterion for integrability-like behavior. As a result, the quasi-deformed charge densities always acquire definite PT -properties suitable for the asymptotic conservation, as the Abelianization approach to construct them also preserves the definite PT -behavior of the Lax pair. This PT -symmetry based origin of quasi-conservation is general and has been demonstrated for quasi-deformations of multiple systems such as KdV, NLSE and non-local NLSE. |
| title | Quasi-integrability from PT-symmetry |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2510.05065 |