Abstract
The theoretical method to study strong coupling between an ensemble of quantum emitters (QEs) and surface plasmons excited by the nanoparticle cluster has been presented by using a rigorous first-principles electromagnetic Green’s tensor technique. We have demonstrated that multi-qubit entanglements for two-level QEs can be produced at different coupling resonance frequencies, when they locate in the hot spots of the metallic nanoparticle cluster. The duration of quantum beats for such an entanglement can reach two orders longer than that for the entanglement in a photonic cavity. The phenomenon originates from collective coupling resonance excitation of the cluster. At the frequency of single scattering resonance, the entanglement cannot be produced although the single QE spontaneous decay rate is very big.
Highlights
The theoretical method to study strong coupling between an ensemble of quantum emitters (QEs) and surface plasmons excited by the nanoparticle cluster has been presented by using a rigorous first-principles electromagnetic Green’s tensor technique
We consider N two-level QEs located in the nanoparticle cluster
We have presented a theoretical method to study the strong coupling between an ensemble of QEs and surface plasmons excited by the nanoparticle cluster using the rigorous first-principles electromagnetic Green’s tensor technique
Summary
We consider N two-level QEs located in the nanoparticle cluster. Let us further assume that the QEs are sufficiently far from each other, so that interatomic Coulomb interactions can be ignored. The peak [3] comes from the single scattering localized surface plasmon resonance, which is determined by the property of the single sphere and is not sensitive to the gaps It corresponds to the calculated result without hotspots (red dotted line), that is, two QEs locate at the two poles of the sphere as shown in the inset of Fig. 2(a). In such a case, the interference term ΓAB/Γ (red dotted line in Fig. 2(b)) between QEs is almost zero the single QE spontaneous decay rate is very big. We expect our design for the multi-qubit entanglement can be realized and the phenomenon can be observed experimentally in the future
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