Local field effects and multi-peak spectra in coherent scattering of resonant light in a two-level medium

Scattering of a laser pulse is considered in a dense medium with account for local field effects. The interacting system of two-level atoms and quantized field modes is studied in the second Born approximation of the Bogolyubov-Born-Green-Kirkwood-Yvon hierarchy of equations for reduced density and correlation operators. The local field correction is derived consistently from the conventional interaction Hamiltonian and adjusted to presence of a dielectric host. Time-dependent spectra of scattered light are calculated both theoretically and numerically Additional sidebands are shown to occur including the cases when the distance between the peaks is proportional to the Rabi frequency.