Quantum-classical analogies in engineered photonic structures

The study of quantum-classical analogies aims to mimic quantum effects in classical systems based on the similar physics between classical and quantum waves. Recently, a variety of experimental and theoretical work has revealed various quantum-classical analogies in engineered photonic structures. The purpose of this review is to give a brief introduction to those quantum-like phenomena in photonic crystals and metamaterials which closely resemble the behavior in condensed matter and atomic systems.These include, for example, the novel transmission in graphene and topological insulators, quantum dynamics, Rabi oscillation, electromagnetically induced transparency, and Fano resonance.