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We consider an array of the meta-atom consisting of two cut-wires and asplit-ring resonator interacting with an electromagnetic field with twopolarization components. We prove that such metamaterial system can be taken asa classical analogue of an atomic medium with a double- $\Lambda$-typefour-level configuration coupled with four laser fields, exhibits an effect ofplasmon induced transparency (PIT), and displays a similar behavior of atomicfour-wave mixing (FWM). We demonstrate that when nonlinear varactors aremounted onto the gaps of the split-ring resonators the system can acquire giantsecond- and third-order Kerr nonlinearities via the PIT and alongwave-shortwave interaction. We also demonstrate that the system supportshigh-dimensional vector plasmonic dromions [i.e. (2+1)-dimensional plasmonicsolitons with two polarization components, each of which has a coupling betweena longwave and a shortwave], which have very low generation power and arerobust during propagation. Our work gives not only a plasmonic analogue of theFWM in coherent atomic systems but also provides the possibility for obtainingnew type of nonlinear polaritons in plasmonic metamaterials.

Analogue of double-$\Lambda$-type atomic medium and vector dromions in a plasmonic metamaterial