Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE
Boundary effects in the process of spontaneous emission in a one-dimensional chain of atoms
Konstantin V. Krutitsky, Oleg N. Gadomsky
Abstract
Boundary problem of quantum optics for spontaneous emission of atom embedded in one-dimensional chain of discrete dipoles is solved. The role of boundary effects caused by violation of translational symmetry in atomic spatial distribution is investigated. Life time of excited state and frequency shift of atomic transition are calculated. It is shown that these spectral characteristics significantly depend on atomic position in the chain. Angular distribution of spontaneous photons is also investigated. Theoretical analysis is based on the system of Heisenberg equations for atomic and field operators. For the calculation of the mode functions it is employed as the method of integro-differential equations.