Quantum chaos in optical microcavities

目前的技术允许制造具有多种不同材料、大小和几何形状的光学微腔。变形的微盘腔可以看作是开放的二维台球。因此，无论是在理论上还是在实验上，它们都是研究复杂波散射的理想系统。这个项目的第一部分旨在了解(部分)混沌射线动力学的相互作用以及这类系统的开放性。第二部分讨论了具有负折射率的超材料制成的空腔。在这里，对于具有非凸边界的腔，负折射显著改变了相空间结构。在第三部分中，我们研究了克尔非线性腔中的动态隧穿。特别令人感兴趣的是位于腔边界附近的耳语走廊模的非线性混沌辅助隧穿。

Present-day technology permits the fabrication of optical microcavities with a large variety of different materials, sizes, and geometries. Deformed microdisk cavities can be considered as open two-dimensional billiards. As such they are ideal systems to study complex wave scattering both theoretically and experimentally. The first part of this project aims at understanding the interplay of (partially) chaotic ray dynamics and the openness of this kind of systems. The second part deals with cavities made of metamaterials with negative index of refraction. Here, negative refraction changes the phase space structure considerably for cavities with non-convex boundary. In the third part we study dynamical tunneling in cavities with Kerr-type nonlinearity. Of particular interest is the nonlinear chaos-assisted tunneling from whispering-gallery modes localized near the boundary of the cavity.