The simulation and experiment of Quantized Klein Tunneling in a Dielectric Resonator Chain
Klein tunneling is one of the most striking consequences of Dirac equation. Despite experimental investigations of the phenomenon in analog systems in the transport or quasi-bound state scenario, a direct observation of quantized Klein tunneling is still lacking. Now this is achieved in a bounded Dirac system implemented by a dimer chain of dielectric microwave resonators. Both the unusual quantized levels and corresponding spinor states hybridized from distinct particle and hole wavefunctions are measured. All observations are in quantitative agreement with the hitherto-untested prediction of Dirac equation. We used the electromagnetic frequency domain module of COMSOL Multiphysics to construct a one-dimensional photonic crystal using a dielectric column in microwave bands. By changing the radius of the dielectric column, we simulated Quantized Klein Tunneling, and obtained the quantized wave function which corresponded well with theory and experiment. Our results make an important step to realize and understand the quantized particle-hole physics of Klein tunneling in bounded Dirac systems, and also shed light on potential applications for manipulating particle-hole hybridized spinor waves.
