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arXiv:0807.3199 · Physical Review B

Optical spectra of a quantum dot in a microcavity in the nonlinear regime

Elena del Valle, Fabrice P. Laussy, Fabricio Macedo de Souza, Ivan Andreevich Shelykh

Published Aug 11, 2008• 14 citations
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Abstract

The optical emission spectrum of a quantum dot in strong coupling with the single mode of a microcavity is obtained in the nonlinear regime. We study how exciton-exciton interactions alter the emission spectrum of the system, bringing the linear Rabi doublet into a multiplet structure that is strongly dependent on the cavity-exciton energy detuning. We emphasize how nonlinearity can be used to evidence the genuine quantum nature of the coupling by producing satellites peaks of the Rabi doublet that originate from the quantized energy levels of the interactions.

DOI
10.1103/physrevb.78.085304

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The optical emission spectrum of a quantum dot in strong coupling with the single mode of a microcavity is obtained in the nonlinear regime. We study how exciton-exciton interactions alter the emission spectrum of the system, bringing the linear Rabi doublet into a multiplet structure that is strongly dependent on the cavity-exciton energy detuning. We emphasize how nonlinearity can be used to evidence the genuine quantum nature of the coupling by producing satellites peaks of the Rabi doublet that originate from the quantized energy levels of the interactions.
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A theoretical investigation is presented of the statistics of excitons in quantum dots (QDs) of different sizes. A formalism is developed to build the exciton creation operator in a dot from the single exciton wave function and it is shown how this operator evolves from purely fermionic, in the case of a small QD, to purely bosonic, in the case of large QDs. Nonlinear optical emission spectra of semiconductor microcavities containing single QDs are found to exhibit a peculiar multiplet structure which reduces to Mollow triplet and Rabi doublet in fermionic and bosonic limits, respectively.
In this paper, we investigate the emission spectrum of a nonlinear microcavity at the level of individual quantum. The physical system consists of one coherently pumped microcavity in which a self-interacting bosonic matter field strongly couples with the cavity field. By the master equation treatment, we obtain an analytical expression for the emission spectrum of the cavity. It is found that when the strength of the bosonic nonlinear effect is greater than a critical level, the spectrum of the single-mode cavity field is divided into doublet peaks. Furthermore, we also study the influence of the detuning between cavity field and matter field on the emission property. We show that the emission intensity is enhanced by negative detuning and suppressed by positive detuning.
A theory of nonlinear emission of localized excitons coupled to the optical mode of the microcavity is presented.Numerical results are compared with analytical ones.The effects of exciton-exciton interaction within the quantum dots and with the reservoir formed by non-resonant pumping are considered.It is demonstrated that the nonlinearity due to the interaction strongly affects the shape of the emission spectra.The collective superradiant mode of the excitons is shown to be stable against the nonlinear effects.
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We discuss the spectral line shapes of NNN quantum dots in strong coupling with the single mode of a microcavity in the presence of a continuous, incoherent pumping. Nontrivial features in the response of the system are induced by detuning the emitters or probing the direct exciton emission spectrum. We describe dark states, quantum nonlinearities, emission dips, and interferences and show how these various effects may coexist, giving rise to highly peculiar line shapes.