Interference in Chaotic Metamaterial Billiards with a Variable Number of Interference Slit Configurations

The 2-slit gedanken experiment played in important role in the foundational understanding of the unintuitive properties of quantum mechanics (QM). This configuration was shown to be correct in early experiments, illustrating the essential nature of the quantum mechanical wave-particle duality. This type of slit configurations has witnessed a recent renaissance due to advances in precision measurement techniques addressing deeper conceptual questions by varying the type of slit scattering configurations. Most slit experiments have been analyzed without considering classically chaotic solutions. Here, we report wave simulation results combining integrable and non-integrable billiards, having a different number of slit configurations, with embedded combinations of positive and negative index of refraction materials. Specifically, we compared the interference patterns when varying the number of slits in planar rectangular cavities as well as chaotic D-shaped billiards. We studied closed and open billiards. These results may have important conceptual consequences as well as practical device applications.