“…The vacuum induced coherence can be occurred in Λ [2], V [3] or ladder type [4] quantum systems. In the past two decades, the effect of the vacuum induced coherence on the optical properties of the quantum system has been studied and it was shown that the SGC can affect the optical phenomena such as pump-probe response [5], loss-free propagation of a short laser pulse [6], Autler-Townes doublet [7], optical bistability [8], spectral-line narrowing [9], Kerr nonlinearity [10,11], electromagnetically induced transparency (EIT), and refractive properties [12]. The role of quantum interference in the optical properties beyond two-photon resonance condition is investigated in a three-level V-type pumpprobe atomic system and it was demonstrated that the absorption, dispersion, group index, and optical bistability depend on the SGC [13].…”