Abstract
We consider a generation of two-particle quantum states in the process of spontaneous parametric down-conversion of light by a dielectric nanoparticle with χ⁽²⁾ response. As a particular example, we study the generation of surface plasmon-polariton pairs with a GaAs nanoparticle located at the silver-air interface. We show that for certain excitation geometries, N00N-states of surface plasmon-polariton pairs could be obtained. The effect can be physically interpreted as a result of quantum interference between pairs of induced sources, each emitting either signal or idler plasmon. We then relate the resulting N00N-pattern to the general symmetry properties of dyadic Green's function of a dipole emitter exciting surface waves. It renders the considered effect as a general way towards a robust generation of N00N-states of surface waves using spontaneous parametric down-conversion in χ⁽²⁾ nanoparticles.