  We investigate the single-photon transport properties of a one-dimensional
coupled cavity array (CCA) containing a single qubit in its central site by
coupling the CCA to two transmission lines supporting propagating bosonic modes
with linear dispersion. We find that even in the nominally weak light-matter
coupling regime, the transmission through a long array exhibits two
ultra-narrow resonances corresponding to long-lived self-protected polaritonic
states localized around the site containing the qubit. The lifetime of these
states is found to increase exponentially with the number of array sites in
sharp distinction to the polaritonic Bloch modes of the cavity array.
