Polaron formation in Rydberg systems and Rydberg excitations as a probe of correlated quantum matter

近年来，原子量子气体中的里德伯激励已成为研究介观量子杂质问题的新前沿。里德伯激发态不仅具有低能激发态，而且具有分子束缚态，这使它们与传统的极化子不同。迄今为止的研究仅限于描述玻色子系统中的里德伯杂质。在这个项目中，我们将开发新的理论工具，使我们能够描述费米子和相互作用环境中的里德堡激发。为此，我们结合泛函行列式和变分波函数方法来研究费米子激发对杂质的修饰。基于这些结果，我们将探索里德伯激励作为多体环境中相关性的探测。为此，我们研究了吸收光谱中低聚物相对谱线强度与偶和高阶相关函数的关系。此外，我们还研究了如何将Rydberg杂质用作Feshbach分子形成的原位探针，以及如何使用干涉测量技术探索多体系统的实时动力学。

In recent years, Rydberg excitations in atomic quantum gases have become a new frontier to explore mesoscopic quantum impurity problems. Rydberg excitations are dressed not only by low-energy excitations but by molecular bound state which makes them distinct from conventional polarons. So far studies have been restricted to the description of Rydberg impurities immersed in bosonic systems. In this project we will develop novel theoretical tools that allow us to describe Rydberg excitations in fermionic and interacting environment. To this end we combine functional determinant and variational wave function approaches to study the dressing of the impurity by fermionic excitations. Based on these results we will explore Rydberg excitations as a probe of correlations in a many-body environment. To this end we study the relation of the relative the oligmer line strengths in the absorption spectrum to pair and higher-order correlation functions. Moreover, we investigate how Rydberg impurities can be used as an in-situ probe of Feshbach molecule formation and to explore the real-time dynamics of many-body systems using interferometric techniques.