Density operator of a system pumped with polaritons: A Jaynes-Cummings like approach

TL;DR

This paper studies how different incoherent pumpings, especially polaritonic pumping, affect the photon statistics, entanglement, and emission spectrum of a Jaynes-Cummings model of a microcavity-quantum dot system, revealing unique effects of polaritonic pumping.

Contribution

It introduces a detailed analysis of polaritonic versus excitonic incoherent pumping effects within a Jaynes-Cummings framework, including a closed-form expression for density matrix negativity.

Findings

Polaritonic pumping sustains large photon numbers with Poisson-like statistics.

Polaritonic pumping does not alter the system's dynamical regimes unlike excitonic pumping.

A closed-form expression for the negativity of the density matrix is derived.

Abstract

We investigate the effects of considering two different incoherent pumpings over a microcavity-quantum dot system modelled using the Jaynes-Cummings Hamiltonian. When the system is incoherently pumped with polaritons it is able to sustain a large number of photons inside the cavity with Poisson-like statistics in the stationary limit, and also leads to a separable exciton-photon state. We also investigate the effects of both types of pumpings (Excitonic and Polaritonic) in the emission spectrum of the cavity. We show that the polaritonic pumping as considered here is unable to modify the dynamical regimes of the system as the excitonics pumping does. Finally, we obtain a closed form expression for the negativity of the density matrices that the quantum master equation considered here generates.