  We consider two-dimensional (2D) arrays of self-organized semiconductor
quantum dots (QDs) strongly interacting with electromagnetic field in the
regime of Rabi oscillations. The QD array built of two-level states is modelled
by two coupled systems of discrete nonlinear Schr\"{o}dinger equations.
Localized modes in the form of single-peaked fundamental and vortical
stationary Rabi solitons and self-trapped breathers have been found. The
results for the stability, mobility and radiative properties of the Rabi modes
suggest a concept of a self-assembled 2D \textit{% soliton-based nano-antenna},
which should be stable against imperfections In particular, we discuss the
implementation of such a nano-antenna in the form of surface plasmon solitons
in graphene, and illustrate possibilities to control their operation by means
of optical tools.
