Two-dimensional discrete solitons in rotating lattices (original) (raw)

We introduce a two-dimensional (2D) discrete nonlinear Schrödinger (DNLS) equation with selfattractive cubic nonlinearity in a rotating reference frame. The model applies to a Bose-Einstein condensate stirred by a rotating strong optical lattice, or light propagation in a twisted bundle of nonlinear fibers. Two species of localized states are constructed: off-axis fundamental solitons (FSs), placed at distance R from the rotation pivot, and on-axis (R = 0) vortex solitons (VSs), with vorticities S = 1 and 2. At a fixed value of rotation frequency Ω, a stability interval for the FSs is found in terms of the lattice coupling constant C, 0 < C < C cr (R), with monotonically decreasing C cr (R). VSs with S = 1 have a stability interval,C (S=1) cr Discrete dynamical systems represented by nonlinear lattices in one, two, and three dimensions constitute a class of models which are of fundamental interest by themselves, and, simultaneously, they find applications of paramount importance in various fields of physics.