Atom-atom interaction in strongly modified reservoirs

摘要: We extend recent work on two closely spaced atoms interacting through the narrow band of strongly coupled modes at edge a photonic gap. The resonant dipole-dipole interaction (RDDI) is modified for atomic transition frequencies in vicinity band-gap edge, but we show that an analytical approximation to RDDI agrees very well with exact obtained by numerical integration using dispersion relation. Having established value RDDI, can derive amplitudes without resorting pole which necessary due mode structure dielectric host. For wide range parameters find beating and population trapping long time limit. distribution continuum investigated limit case one atoms. It found be asymmetric exhibit strong signature unusual material edge.