Imaging topological phases of laser-driven few- and many-particle systems (W01)

在项目W01中，我们将解决量子系统和光子学中强驱动，相互作用的多粒子系统的拓扑特征的基本问题，因为它们发生在强烈的激光物质相互作用中。 结合我们的理论和实验的努力，我们将回答如何拓扑不变量可以适当地定义在非线性系统中，以及在相互作用或非线性系统的拓扑边缘状态的形状和特性是什么。进一步，我们将研究拓扑不变量和相关的拓扑特征在维度映射下的行为。通过我们的研究结果，我们将为使用光子平台实验探索多电子动力学铺平道路。

In project W01, we will address fundamental questions of topological features in quantum systems and photonics for strongly driven, interacting many-particle systems, as they occur in intense laser-matter interactions, for instance. With our combined theoretical and experimental efforts we will answer how topological invariants can be properly defined in nonlinear systems, and what the shapes and characteristics of topological edge states in interacting or nonlinear systems are. Further, we will investigate how topological invariants and the associated topological features behave under dimensional mapping. With our findings we will pave the way to experimentally explore multi-electron dynamics using a photonic platform.