“…This behavior results from the modification of the photon statistics in the coherent state, where the increase of mode number shifts the * Electronic address: agogyan@gmail.com maximum of photon distribution to the Fock states with small number of photons provided that the total intensity of the control field remains unchanged. To enhance the atom-photon interaction and cancel the Doppler broadening, we consider propagation of a weak probe pulse in a cold atomic ensemble, such as the atoms inside a hollow-core photonic crystal fiber (HC-PCF) of a few microns in diameter, which can tightly confine both atoms and photons transversely over long interaction lengths [11,12,[17][18][19][20][21]. Of course, different dissipative effects are significant for coherent states with different mode numbers, however, we ignore these complications to concentrate on more fundamental issues.…”