Dynamics of entanglement density in photonic crystals

We study the dynamics of entanglement between the atom and the photonic band-gap (PBG) reservoir modes, and also between the modes themselves by means of an entanglement density. We find that the hybrid entanglement between the atom and the bath modes is restricted by the atomic and bath mode populations as well as the detuning conditions. When the atomic transition frequency is outside the band gap, the bipartite states can be created between the reservoir modes for short times. We also compare the dynamics of entanglement between isotropic and anisotropic models and find out their differences and analogies. The theoretical results could be applied to the implementation of quantum information processing in nanostructured materials.