LAUSR

We describe a general analytical framework of a nanoplasmonic cavity-emitter system interacting with a dielectric photonic waveguide. Taking into account emitter quenching and dephasing, our model directly reveals the single-photon extraction efficiency $\ensuremath{\eta}$ as well as the indistinguishability $I$ of photons coupled into the waveguide mode. Rather than minimizing the cavity modal volume, our analysis predicts an optimum modal volume to maximize $\ensuremath{\eta}$ that balances waveguide coupling and spontaneous emission rate enhancement. Surprisingly, our model predicts that near-unity indistinguishability is possible, but this requires a much smaller modal volume, implying a fundamental performance trade-off between high $\ensuremath{\eta}$ and $I$ at room temperature. Finally, we show that maximizing $\ensuremath{\eta}I$ requires that the system has to be driven in the weak coupling regime because quenching effects and decreased waveguide coupling drastically reduce $\ensuremath{\eta}$ in the strong coupling regime.