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BIMSA Integrable Systems Seminar
Integrability from a Single Conservation Law in Quantum Spin Chains
Integrability from a Single Conservation Law in Quantum Spin Chains
演讲者
Akihiro Hokkyo
时间
2025年11月25日 16:00 至 17:00
地点
A6-101
线上
Zoom 873 9209 0711
(BIMSA)
摘要
Identifying integrable systems has been one of the central problems in rigorous statistical mechanics. In this talk, I will discuss a recent result [1] on the mathematical structure of integrability in quantum spin chains with finite-range interactions. We prove that the existence of a specific conservation law, known as the Reshetikhin condition, implies the presence of infinitely many local conserved quantities—that is, integrability. This result shows that the entire hierarchy of conservation laws associated with solutions of the Yang–Baxter equation is already encoded in the lowest nontrivial conservation law. Combined with recent progress on the absence of integrability in generic systems [2], I will also discuss the sharp boundary between integrable and nonintegrable quantum spin chains.
[1] A.Hokkyo, "Integrability from a Single Conservation Law in Quantum Spin Chains", arXiv:2508.20713.
[2] A.Hokkyo, "Rigorous Test for Quantum Integrability and Nonintegrability", arXiv:2501.18400.
[1] A.Hokkyo, "Integrability from a Single Conservation Law in Quantum Spin Chains", arXiv:2508.20713.
[2] A.Hokkyo, "Rigorous Test for Quantum Integrability and Nonintegrability", arXiv:2501.18400.