Katherine Holmes

Leaky billiards with an internal absorbing region

The classical billiard model has been used to study dynamical systems and chaos theory, whilst the quantum billiard model may be considered a toy model of quantum optical systems in QED cavities and quantum dots. The classical and quantum billiard models and their many variations have been the subject of a vast wealth of literature. In recent years, open variations of billiards with loss mechanics, such as internal holes and permeable boundaries, have been investigated.

In this talk, we examine the dynamics of open classical billiards with a permeable internal absorbing region. This model generates intricate structures on the Poincaré-Birkhoff phase space when we associate each trajectory with an intensity value that captures any damping effects.

This talk is based on the paper: Intensity landscapes in elliptical and oval billiards with a circular absorbing region (https://arxiv.org/abs/2411.08694).