Quantum decoherence in a hybrid atom-optical system of a one-dimensional coupled-resonator waveguide and an atom

Decoherence for a one-dimensional coupled-resonator waveguide with a two-level system inside one of the resonators, induced by their interaction with corresponding environments, is investigated. Each environment is modeled as a continuum of harmonic oscillators. By finding the eigenstates of the hybrid system, which is the dressed state of the hybrid system, we calculate the lifetime of one excitation, which characterizes the existence of quantum coherence in such hybrid systems and the basic quantum nature.