Families of nonlinear modes in complex potentials

Speaker

Vladimir V. Konotop, Centro de Física Téorica de Computacional and Departamento de Física, Universidade de Lisboa, Portugal.

Abstract

After brief introduction to the theory of parity-time symmetric systems I will discuss non-linear modes in dissipative and parity-time symmetric parabolic and double-well potentials. The main topic of this talk, however, will be the existence of continuous families of nonlinear modes of a nonlinear Schrödinger equation with complex asymmetric potentials of the form w^2(x)-iw_x(x), where w_x(x) is a real function. It will be shown that the families can bifurcate from the linear spectrum. Examples of an asymmetric single-well and double-hump complex potentials will be presented.