标题： 异常弗洛凯系统中的量子化陈-西蒙斯轴子耦合 显示英文标题

标题： Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems

摘要： 量化体响应函数是拓扑相的标志性特征，但在周期性驱动（弗洛凯）系统中的表现尚未完全确立。 在这里，我们表明二维异常弗洛凯系统表现出一种由陈-西蒙斯轴子（CSA）耦合角编码的量化体响应，反映了类似于三维绝缘体中的拓扑电磁效应。 周期性驱动引入了一个涌现的“光子”维度，使得系统可以被视为一个三维萨姆贝晶格。 在此框架下，诸如光子空间极化和磁化密度等交叉相关响应作为CSA耦合的物理特征出现。 由弗洛凯态的非阿贝尔贝里连接构建的CSA角度，可以从混合瓦尼尔态的几何结构中自然地进行解释。 这些结果提供了一个统一的框架，将弗洛凯能带拓扑与量化体可观测量联系起来。 显示英文摘要

摘要： Quantized bulk response functions are hallmark signatures of topological phases, but their manifestation in periodically driven (Floquet) systems is not yet fully established. Here, we show that two-dimensional anomalous Floquet systems exhibit a quantized bulk response encoded in a Chern-Simons axion (CSA) coupling angle, reflecting a topological magnetoelectric effect analogous to that in three-dimensional insulators. The periodic drive introduces an emergent "photon" dimension, allowing the system to be viewed as a three-dimensional Sambe lattice. Within this framework, cross-correlated responses such as photon-space polarization and magnetization density, emerge as physical signatures of the CSA coupling. The CSA angle, constructed from the non-Abelian Berry connection of Floquet states, admits a natural interpretation in terms of the geometry of hybrid Wannier states. These results provide a unified framework linking Floquet band topology to quantized bulk observables.