Seemann Lukas, Hentschel Martina
Institute of Physics, Technische Universität Chemnitz, D-09107 Chemnitz, Germany.
Entropy (Basel). 2023 Jan 3;25(1):95. doi: 10.3390/e25010095.
Optical microcavity billiards are a paradigm of a mesoscopic model system for quantum chaos. We demonstrate the action and origin of ray-wave correspondence in real and phase space using far-field emission characteristics and Husimi functions. Whereas universality induced by the invariant-measure dominated far-field emission is known to be a feature shaping the properties of many lasing optical microcavities, the situation changes in the presence of sources that we discuss here. We investigate the source-induced dynamics and the resulting limits of universality while we find ray-picture results to remain a useful tool in order to understand the wave behaviour of optical microcavities with sources. We demonstrate the source-induced dynamics in phase space from the source ignition until a stationary regime is reached comparing results from ray, ray-with-phase, and wave simulations and explore ray-wave correspondence.
光学微腔台球是量子混沌介观模型系统的一个范例。我们利用远场发射特性和胡西米函数,在实空间和相空间中演示了射线-波对应关系的作用和起源。虽然由不变测度主导的远场发射所诱导的普适性是塑造许多激光光学微腔特性的一个特征,但在这里我们所讨论的源存在的情况下情况会发生变化。我们研究了源诱导的动力学以及由此产生的普适性极限,同时发现射线图像结果仍然是理解有源光学微腔波动行为的有用工具。我们通过比较射线、带相位射线和波动模拟的结果,展示了从源点火到达到稳定状态期间相空间中源诱导的动力学,并探索了射线-波对应关系。