Manipulating Quasi-Bound States in a Photonic Crystal with Periodic Impurities to Store Quantum Information

We analytically model a one-dimensional lattice with periodic impurities representing a photonic crystal. We then investigate bound states in the continuum by computing the transmission coefficient and the reflection coefficient. It turns out that when there are more impurities in our system there exist more wave numbers where the particles in our system become essentially trapped. Due to this window of wavenumbers, in theory, quantum information could be encoded in our system by constructing differently shaped wave packets that are bound by the tuning of parameters in our system.