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

• URL: http://arxiv.org/abs/2002.05268v2
• Date: Wed, 31 Mar 2021 09:28:21 GMT
• Title: Generating ${\rm N00N}$-states of surface plasmon-polariton pairs with a nanoparticle
• Authors: Nikita A. Olekhno, Mihail I. Petrov, Ivan V. Iorsh, Andrey A. Sukhorukov, Alexander S. Solntsev
• Abstract summary: We consider a generation of two-particle quantum states in the process of spontaneous parametric down-conversion of light. We show that for certain excitation geometries, $rm N00N$-states of surface plasmon-polariton pairs could be obtained.
• Score: 58.720142291102135
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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