One quantum dot in a microcavity: nonlinear models

When you possess light within, you see it externally.
Anaïs Nin

In this Chapter, we study, semi-analytically, light-matter coupling with nonlinearities. We fist solve the anharmonic oscillator (weakly interacting excitons), first alone, then coupled to a second harmonic oscillator (a cavity mode). Then we address the Jaynes-Cummings model (small quantum dot in a cavity). We analyze the properties of emission of all these descriptions in the presence of decoherence (dissipation and incoherent pump). Most of the results presented here have been published in the references 3, 7 and 12 from the list of my publications [*].5.1



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