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We study the quantum dynamics of two quantum dots (QDs) or artificial atomscoupled through the fundamental localized plasmon of a gold nanorod resonator.We derive an intuitive and efficient time-local master equation, in which theeffect of the metal nanorod is taken into consideration self-consistently usinga quasinormal mode (QNM) expansion technique of the photon Green function. Ourefficient QNM technique offers an alternative and more powerful approach overthe standard Jaynes-Cummings model, where the radiative decay, nonradiativedecay, and spectral reshaping effect of the electromagnetic environment isrigorously included in a clear and transparent way. We also show how one canuse our approach to compliment the approximate Jaynes-Cummings model in certainspatial regimes where it is deemed to be valid. We then present a study of thequantum dynamics and photoluminescence spectra of the two plasmon-coupled QDs.We first explore the non-Markovian regime, which is found to be important onlyon the ultrashort time scale of the plasmon mode which is about 40$\,$fs. Forthe field free evolution case of excited QDs near the nanorod, we demonstratehow spatially separated QDs can be effectively coupled through the plasmonresonance and we show how frequencies away from the plasmon resonance can bemore effective for coherently coupling the QDs. Despite the strong inherentdissipation of gold nanoresonators, we show that qubit entanglements as largeas 0.7 can be achieved from an initially separate state, which has been limitedto less than 0.5 in previous work for weakly coupled reservoirs. We also studythe superradiance and subradiance decay dynamics of the QD pair. Finally, weinvestigate the rich quantum dynamics of QDs that are incoherently pumped, ...

Quantum dynamics of two quantum dots coupled through localized plasmons: An intuitive and accurate quantum optics approach using quasinormal modes