hoton emission properties of polariton states of rhodamine dyes in 2D plasmonic cavity

Using our generalization of the Dicke model for quantum emitters coupled to surface plasmon modes, we have predicted a reach phase diagram of plasmon-exciton-polartion states depending on the interaction strengths between the surface plasmon modes and quantum emitters.¹ For the purpose of practical implications, we study R6G rhodamine dye quantum emitters placed in a plasmonic cavity. The cavity is constituted from metal nanoparticles forming a rectangular 2D lattice. CDA analysis reveals intricate combinations of a bright local surface plasmon resonance (LSPR) on each nanoparticle and dark diffractive orders present in periodic structures resulting in a sharp Fano shaped surface lattice resonance (SLR). Concentration dependent coupling to R6G simulated via effective dielectric medium approach at CDA and RCWA levels. Extracted coupling rates between the SLR and the rhodamine dyes allow us to map the problem on the Dicke Hamiltonian. The polariton branches of the Hamiltonian are evaluated and subsequent analysis of the associated state photon emission properties is performed.

1. A. Piryatinski, O. Roslyak, H. Li, E. R. Bittner, Non-equilibrium states of a plasmonic Dicke model with coherent and dissipative surface plasmon-quantum emitter interactions. arXiv:1909.01619