发表机构
Nanophotonics and Biophotonics Key Laboratory of Jilin Province, School of Physics, Changchun University of Science and Technology（吉林省纳米光子学与生物光子学重点实验室，长春理工大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究证明qutrit交换相互作用的Yang-Baxter形变必保留单点守恒量，破缺受$\delta^3 \le C\varepsilon$约束，最优补偿可扩展能量流关联窗口至$|\lambda|^{-3}$阶，且八维守恒量记忆矩阵在热力学极限下受保护。
AI 中文摘要
尽管可积性并不普遍要求连续的单点对称性，我们严格证明了qutrit交换相互作用的每一个联合解析、正则的Yang-Baxter形变必然保留一个非平凡的、解析变化单点守恒量。破缺这一局域对称性对近似守恒施加了一个基本物理约束，由最优一致界$\delta^3 \le C\varepsilon$控制，该界明确将最小单点对称性缺陷$\delta$与局域流守恒残差$\varepsilon$联系起来。虽然破缺所有单点守恒量严格禁止精确可积完备化，但一个最优补偿的最近邻相互作用饱和了这一三次极限，并将保证的无穷温度能量流关联窗口异常地扩展到扰动强度$\lambda$的$|\lambda|^{-3}$阶。此外，我们揭示了内禀转换扰动的一个基本共振障碍，它严格阻止了任何有限环上破缺单点守恒量的精确一阶修复。尽管如此，我们证明了完整的八维守恒量记忆矩阵在热力学上保持受保护，并在时间尺度$t=o(|\lambda|^{-3/2})$内趋近于单位矩阵，这是当热力学极限先于弱耦合取时，完整无穷温度动力学的一个稳健特征。
英文摘要
Although integrability does not universally require a continuous one-site symmetry, we rigorously prove that every jointly analytic, regular Yang-Baxter deformation of the qutrit exchange interaction necessarily retains a nontrivial, analytically varying one-site charge. Breaking this local symmetry imposes a fundamental physical constraint on approximate conservation, governed by the optimal uniform bound $δ^3 \le C\varepsilon$ that explicitly relates the minimal one-site symmetry defect $δ$ to the local current-conservation residual $\varepsilon$. While breaking all one-site charges strictly forbids an exact integrable completion, an optimally compensated nearest-neighbor interaction saturates this cubic limit and anomalously extends the guaranteed infinite-temperature energy-current correlation window to order $|λ|^{-3}$ in the perturbation strength $λ$. Furthermore, we reveal a fundamental resonance obstruction for intrinsic conversion perturbations that strictly prevents any exact first-order repair of a broken one-site charge on any finite ring. Nevertheless, we demonstrate that the complete eight-dimensional charge memory matrix remains thermodynamically protected and approaches the identity for timescales $t=o(|λ|^{-3/2})$, a robust feature of the full infinite-temperature dynamics when the thermodynamic limit is taken before weak coupling.
Comments85 pages, 2 figures
