The permittivity in the Huttner-Barnett theory of QED in dielectrics

An experimvll where a single-photon wave packet is split into two parts, which arc ~ u b q ~ ~ n t l y madc to interact with an atom (or an cnscmblc of atoms) with a time delay much longer ban the wave-packct coherence timc i s analysed. The set up i s 5imilar to a modified Young's double slit cxperiment where a single photon has two possible paths to a point in rpacc. When the phoran probability amplitudes for both paths are simultancousl) nonz.cro at some crossing point. an interference pattern. a single photon self intcrfcrence. can be cnvisaged thcre.