Theoretical seminar | 09 February 2022

In our work, we study a system based on an array of interacting resonators with resonant frequency being a linear function of the index enumerating the resonators, which is described by dissipative discrete nonlinear Schrodinger equation (NLS). In particular, we consider the excitation of such a system by an external signal with a frequency coinciding with the eigen frequencies of the waveguide resonators (coherent pump). We show that in this case it is possible to achieve Bloch oscillations, which can be an ingredient leading to a period doubling bifurcation and to chaotic regimes in discrete NLS. We also discuss the incoherent inhomogeneous excitation of the system described above (spatially distributed linear gain). We demonstrate the possibility of selecting the working mode by geometrical shift of the pumping area. And also we discuss how the shape of the oscillations depends on the pump profile.