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We consider the time-delayed coincidence counting of two photons emitted in acascade by a single particle (atom, molecule, nucleus, etc). Thetime-dependence of the probability amplitude of the second photon in thecascade has a sharply rising leading edge due to the detection of the firstphoton, as results from causality. If a macroscopic ensemble of resonanttwo-level absorbers is placed in the path of the second photon between theradiation source and the detector, the photon absorption does not follow Beer'slaw due to the time-asymmetric shape of the photon. For very short delay timesalmost no absorption takes place, even in an optically dense medium. We analyzethe propagation of such a second photon in a thick resonant three-levelabsorber if a narrow electromagnetically induced transparency (EIT) window ispresent at the center of the absorption line. It is shown that the EIT mediumcan change the asymmetric time dependence of the photon probability amplitudeto a bell shape (EIT filtering). This bell-shaped photon interacts much moreefficiently with an other ensemble of two-level absorbers chosen, for example,to store this photon and the information it carries.Comment: 28 pages, 7 figure

Single photon emitted by a single particle in free-space vacuum modes and its resonant interaction with two- and three-level absorbers