Strongly Extended Superradiance in Optical Dirac Cone Metamaterials*

Zero index metamaterials (ZIM) experience near-perfect spatial coherence and infinite spatial wavelength.[1] We design and simulate a diamond metamaterial with zero refractive index at 737 nm. This occurs due to a Dirac cone within the dispersion of our metamaterial. With this property we analytically and numerically demonstrate the hallmarks of superradiance: an N² scaling of enhancement of power within our structure over a spatial extent much greater than a wavelength, where N is the number of emitters, as well as cooperative decay rate enhancement relative to the single emitter decay rate. Additionally, we demonstrate preliminary fabrication results with the intention to experimentally implement this concept using silicon vacancy centers (SiV) in diamond.
[1]Y. Li, S. Kita, P. Muoz, O. Reshef, D. Vulis, M. Yin, et al., ”On-chip zero-index metamaterials,” Nat. Photon. 9, pp. 738-742, (2015).