RF-induced interference in nuclear resonant scattering of synchrotron radiation under stroboscopic detection conditions

The effects of quantum interference induced by external radiofrequency (RF) field are modelled under conditions of stroboscopic detection of the nuclear resonant response (RR) to a “momentary” pulse of synchrotron radiation (SR) for a system of two optically thin samples. It is supposed that the first sample, which is a stationary multilevel magnetic medium $^{57}$Fe, is influenced by the resonant RF field, while the second one (reference sample) is a two-level resonant medim $^{57}$Fe, which is mounted on Moessbauer vibrator. Under these conditions the regimes of the electromagnetically induced transperency (EIT) and the maximal absorption of resonance gamma-radiation within the stationary sample, which are determined by the dependence of the nuclear refraction index on the initial phase of RF field, are analyzed, as well as their peculiarities, which are conditioned by the linear polarization of SR impulse. The opportunities of the detection scheme for the simultaneous determination of EIT conditions and the velocity of slow gamma-light are considered.