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Entanglement Detection in Coupled Particle Plasmons

Javier del Pino, Johannes Feist, F. J. García-Vidal, and Juan Jose García-Ripoll
Phys. Rev. Lett. 112, 216805 – Published 29 May 2014
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Abstract

When in close contact, plasmonic resonances interact and become strongly correlated. In this work we develop a quantum mechanical model for an array of coupled particle plasmons. This model predicts that when the coupling strength between plasmons approaches or surpasses the local dissipation, a sizable amount of entanglement is stored in the collective modes of the array. We also prove that entanglement manifests itself in far-field images of the plasmonic modes, through the statistics of the quadratures of the field, in what constitutes a novel family of entanglement witnesses. Finally, we estimate the amount of entanglement, the coupling strength and the correlation properties for a system that consists of two or more coupled nanospheres of silver, showing evidence that our predictions could be tested using present-day state-of-the-art technology.

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  • Received 27 February 2014

DOI:https://doi.org/10.1103/PhysRevLett.112.216805

© 2014 American Physical Society

Authors & Affiliations

Javier del Pino1,2, Johannes Feist1, F. J. García-Vidal1,*, and Juan Jose García-Ripoll2

  • 1Departamento de Física Teórica de la Materia Condensada and Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, Madrid E-28049, Spain
  • 2Instituto de Física Fundamental, IFF-CSIC, Calle Serrano 113b, Madrid E-28006, Spain

  • *fj.garcia@uam.es

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Issue

Vol. 112, Iss. 21 — 30 May 2014

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Images

  • Figure 1
    Figure 1

    An array of interacting nanoparticles gives rise to a set of coupled plasmonic modes. The far-field emission of these modes is collected by a lens. By correlating the properties of the light at different points in the focal plane, we get information about the multipartite entanglement.

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  • Figure 2
    Figure 2

    (a) Average propagation length (in units of Λ) in the one-dimensional chain of N=20 nanoparticles versus coupling strength, g, and local dissipation, γ. (b) Entanglement in the chain measured by the logarithmic negativity. (c) Entanglement witness in momentum space.

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  • Figure 3
    Figure 3

    Absorption versus frequency for a single silver nanosphere (red line) and a dimer (blue line). In these calculations the radii of the nanoparticles is set to R=25nm whereas the separation between nanoparticles in the dimer case is 2 nm. The dashed grey line represents a Lorentzian fit to the absorption spectrum of the single nanosphere that is used to estimate γ.

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