Density operator of a system pumped with polaritons: a Jaynes–Cummings-likeapproach

Abstract

We investigate the effects of considering two different incoherent excitation mechanisms onmicrocavity quantum dot systems modeled using the Jaynes–Cummings Hamiltonian.When the system is incoherently pumped with polaritons it is able to sustain a largenumber of photons inside the cavity with Poisson-like statistics in the stationary limit, andit also leads to a separable exciton–photon state. We also investigate the effects ofboth types of pumpings (excitonic and polaritonic) in the emission spectrumof the cavity. We show that the polaritonic pumping considered here is unableto modify the dynamical regimes of the system at variance with the excitonicpumping. Finally, we obtain a closed form expression for the negativity of thedensity matrices that the quantum master equation considered here generates.