Universality and beyond in optical microcavity billiards with source-induced dynamics

TL;DR

This paper explores how sources influence the dynamics and universality in optical microcavity billiards, demonstrating the persistence of ray-wave correspondence despite source-induced deviations from typical universal behavior.

Contribution

It investigates source-induced dynamics in optical microcavities and assesses the limits of universality, highlighting the continued relevance of ray-based models.

Findings

Source-induced dynamics alter emission patterns.

Ray models remain useful despite source effects.

Wave and ray simulations show consistent phase space behavior.

Abstract

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 correpondence.