Mean-field dynamics of a quantum dot - microcavity system
Herbert Vinck-Posada (1), Boris A. Rodriguez (1), Augusto Gonzalez, (1,2) ((1) Instituto de Fisica, Universidad de Antioquia, Medellin, (2), Instituto de Cibernetica, Matematica y Fisica, La Habana)

TL;DR
This paper develops and solves mean-field equations to model the complex dynamics of a quantum dot coupled to a microcavity, including interactions, losses, and pumping, revealing persistent oscillatory states.
Contribution
It introduces a comprehensive set of mean-field equations that incorporate phase space filling, Coulomb interactions, and incoherent processes for quantum dot-microcavity systems.
Findings
Asymptotic oscillatory states with periods of 0.5 to 1.5 ps are observed.
The equations successfully describe the dynamics under various parameters.
Persistent oscillations occur when multiple electron-hole pairs are supported.
Abstract
Mean-field evolution equations for the exciton and photon populations and polarizations (Bloch-Lamb equations) are written and numerically solved in order to describe the dynamics of electronic states in a quantum dot coupled to the photon field of a microcavity. The equations account for phase space filling effects and Coulomb interactions among carriers, and include also (in a phenomenological way) incoherent pumping of the quantum dot, photon losses through the microcavity mirrors, and electron-hole population decay due to spontaneous emission of the dot. When the dot may support more than one electron-hole pair, asymptotic oscillatory states, with periods between 0.5 and 1.5 ps, are found almost for any values of the system parameters.
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