Rydberg Excitons in Cuprous Oxide

该建议的目的是从理论的角度推进我们对氧化亚铜中激子在各种情况下的理解，这些情况是目前实验研究的热点。磁激子的精确量子计算仅限于具有低主量子数的状态。我们要扩展的计算光谱的非常具有挑战性的制度，高激发能量的电子-空穴动力学的绝热方法的基础上，开发一个半经典的磁激子闭合轨道理论。另一个目标是模拟二次谐波产生（SHG）光谱的无场里德伯激子，也为激子在外部磁场和电场，和解释尚未解释的功能观察到的实验SHG光谱。此外，我们还想研究轨道角动量光对激子的激发、限制在量子威尔斯中的激子以及系列间跃迁，例如，在黄色激子系列的束缚态和绿色激子系列的自电离共振态之间。理论结果总是要与我们的实验同行的结果相比较。

The aim of this proposal is to advance from the theoretical point of view our understanding of excitons in cuprous oxide in various situations which are currently hot topics in experimental investigations. Exact quantum computations for magnetoexcitons are restricted to states with low principal quantum numbers. We want to extend the computation of spectra to the very challenging regime of high excitation energy by developing a semiclassical closed-orbit theory for magnetoexcitons based on an adiabatic approach for the electron-hole dynamics. Another goal is the simulation of second harmonic generation (SHG) spectroscopy for field-free Rydberg excitons and also for excitons in external magnetic and electric fields, and the interpretation of yet unexplained features observed in the experimental SHG spectra. Furthermore, we want to study the excitation of excitons by orbital angular momentum light, excitons confined to quantum wells, and interseries transitions, e.g., between bound states of the yellowexciton series and autoionizing resonance states of the green exciton series. The theoretical results shall always be compared with the results of our experimental colleagues.