AI 中文总结
研究开放量子多体系统物理可观测量动力学这一难题，通过识别共形场论中的内在共形结构，如共形嵌入和模数据，在(1 + 1)维理论中实现精确可解性，给出多种模型的精确动力学。
AI 中文摘要
分析开放量子多体系统中物理可观测量的动力学是一项基本但极具挑战性的任务，目前精确结果很少。在这项工作中，我们识别出内在共形结构，以恢复(1 + 1)维共形场论中的精确可解性。对于具有线性模式跳跃的N个马约拉纳费米子，伴随林德布拉德算符在约化的偶数马约拉纳单项式上呈三角形，产生递归精确的海森堡演化。在允许共形马约拉纳嵌入的韦斯-祖米诺-维滕模型中，这种层级结构给出了作为马约拉纳双线性形式实现的仿射流乘积的精确动力学。在对角有理共形场论中，维林德拓扑缺陷线提供跳跃算符，其原初扇区动力学精确对角化。这些例子表明，内在共形结构，如实共形嵌入和模数据，可组织精确可解的开放共形动力学。
英文摘要
Analyzing the dynamics of physical observables in open quantum many-body systems is a fundamental but highly challenging task that has yielded very few exact results. In this work, we identify intrinsic conformal structures that restore exact solvability in $(1+1)$D conformal field theories. For $N$ Majorana fermions with linear mode jumps, the adjoint Lindbladian is triangular on reduced even Majorana monomials, yielding recursive exact Heisenberg evolution. In Wess-Zumino-Witten models admitting conformal Majorana embeddings, this hierarchy gives exact dynamics of affine-current products realized as Majorana bilinears, including regimes where the Kac-Moody current algebra alone does not close. In diagonal rational conformal field theories, Verlinde topological defect lines furnish jump operators whose primary-sector dynamics is exactly diagonal: topological-charge probabilities are conserved, while intersector coherences dephase at rates fixed by the modular $S$ matrix and nonnegative measurement strengths. These examples show that intrinsic conformal structures, such as conformal embeddings and modular data, can organize exactly solvable open conformal dynamics.
Comments8+22 pages
