Quantum electrodynamic modeling of quantum dot luminescence in plasmonic metamaterials

We present a self-consistent approach for simulations of metallic metamaterials coupled to the gain materials. An artificial source is introduced to simulate the spontaneous emission process in the quantum dots. Using a four-level gain system, we show numerically the losses of metamaterial can be compensated by the gain, and the hybridizing quantum dots with plasmonic metamaterial can lead to a multi-fold intensity and narrowing of their photoluminescence. The valid method is an essential step for developing and understanding metamaterial system with gain medium inclusion.