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We investigate the time evolution of the photon-detection probability atvarious output ports of an all-fiber coupled cavity-quantum-electrodynamics(cavity-QED) system. The setup consists of two atoms trapped separately in thefield of two nanofiber cavities that are connected by a standard optical fiber.We find that the normal-mode picture captures well the main features of thedynamics. However, a more accurate description based on the diagonalization ofa non-Hermitian Hamiltonian reveals the origin of small yet significantfeatures in the spontaneous emission spectra.

Dynamical behaviour of coupled atom-cavity systems in the single excitation limit