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arXiv · 2002.05268

Generating ${\rm N00N}$-states of surface plasmon-polariton pairs with a nanoparticle

Nikita A. Olekhno·Mihail I. Petrov·Ivan V. Iorsh·Andrey A. Sukhorukov·Alexander S. Solntsev
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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 $\chi^{(2)}$ response. As a particular example, we study the generation of surface plasmon-polariton pairs with a ${\rm GaAs}$ nanoparticle located at the silver-air interface. We show that for certain excitation geometries, ${\rm N00N}$-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 ${\rm N00N}$-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 ${\rm N00N}$-states of surface waves using spontaneous parametric down-conversion in $\chi^{(2)}$ nanoparticles.

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Nikita A. Olekhno, Mihail I. Petrov, Ivan V. Iorsh, Andrey A. Sukhorukov, Alexander S. Solntsev. 2020-02-12. Generating ${\rm N00N}$-states of surface plasmon-polariton pairs with a nanoparticle. https://doi.org/10.1103/physrevb.109.245416

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