Figure 2
From: Resonance interaction energy between two entangled atoms in a photonic bandgap environment
Plot of the resonance interaction energy ΔE3D in arbitrary units for distances of the atoms between 10−7 m and 10−5 m obtained by a numerical integration using the exact dispersion relation of the photonic crystal (blue continuous curve). The atomic dipoles are assumed equal and oriented perpendicularly to the atomic distance. Parameters are such that n = 3, a = 2 · 10−8 m, ω a = 2.65 · 1015 s−1, and thus k0 = 1.96 · 107 m−1. The red dashed line represents the function r−2. The figure clearly shows the asymptotic power-law decay as r−2, in agreement with the analytical results obtained using our approximate dispersion relation in the first Brillouin zone of the photonic crystal.
