Spontaneous decay rate and Casimir–Polder interaction of a two-level atom in a Bragg-reflector cylindrical structure

Abstract

Spontaneous decay rate and Casimir–Polder interaction of an excited two-level atom enclosed in a distributed-Bragg-reflector cylindrical waveguide are studied. Conditions for resonances to exist are established by comparing the distributed-Bragg-reflector-waveguide results with those of a perfectly reflecting hollow waveguide, and taking advantage of the simplicity of the Green tensor of the latter. The Casimir–Polder potential is obtained and found to exhibit a potential well along the cylinder axis. The results remain valid when realistic frequency-dependent permittivities of Si and SiO2 are used.