Linear and Non-linear Rabi Oscillations of a Two-Level System Resonantly   Coupled to an Anderson-Localized Mode
  We use time-domain numerical simulations of a two-dimensional (2D) scattering system to study the interaction of a collection of emitters resonantly coupled to an Anderson-localized mode. For a small electric field intensity, we observe the strong coupling between the emitters and the mode, which is characterized by linear Rabi oscillations. Remarkably, a larger intensity induces non-linear interaction between the emitters and the mode, referred to as the dynamical Stark effect, resulting in non-linear Rabi oscillations. The transition between both regimes is observed and an analytical model is proposed which accurately describes our numerical observations. 
Nicolas Bachelard, R\'emi Carminati, Patrick Sebbah and Christian   Vanneste
physics.optics