Perfect and flexible quantum state transfer in the hybrid system atom coupled-cavity

We investigate a system composed of $N$ coupled cavities and two-level atoms interacting one at a time. Adjusting appropriately the atom-field detuning, and make the hopping rate of photons between neighboring cavities, $A$, greater than the atom-field coupling $g$ (i.e. $A>>g$), we can eliminate the interaction of the atom with the nonresonant normal modes reducing the dynamics to the interaction of the atom with only a single-mode. As an application of this interaction, we analyze the transmission of an arbitrary atomic quantum state between distant coupled cavities. In the ideal case, we obtain a flexible and perfect quantum communication. Considering the influence of dissipation an interesting parity effect emerge and we obtain $N$ maximum in which it is still possible to achieve a quantum communication more efficient than a purely classical channel between the ends. We also studied important sources of imperfections in procedure execution.