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Revista cubana de física

Magnetic Field Effects for the Emission Spectra in a Microcavity-Quantum Dot System

L.E. Cano, P. S. S. Guimãraes, Alfonso A. Portacio

Published Dec 15, 2018• 0 citations
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Abstract

The behaviour of the photoluminescence spectra of a single quantum dot in a semiconductor microcavity is modeled numerically in the presence of an external and constant magnetic field. The dynamics of the density operator is calculated using the master equation in the Lindblad form for decoherence processes: spontaneous emission, losses through cavity mirrors, and dephasing. An incoherent pumping of excitons is used to feed the system. It is found in the photoluminescence spectra that for magnetic fields lower than 2 T the system is in the strong coupling regime and for magnetic fields greater than 2 T the system emits light like three independent systems. The line that uncouples faster is the σ line.

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The behaviour of the photoluminescence spectra of a single quantum dot in a semiconductor microcavity is modeled numerically in the presence of an external and constant magnetic field. The dynamics of the density operator is calculated using the master equation in the Lindblad form for decoherence processes: spontaneous emission, losses through cavity mirrors, and dephasing. An incoherent pumping of excitons is used to feed the system. It is found in the photoluminescence spectra that for magnetic fields lower than 2 T the system is in the strong coupling regime and for magnetic fields greater than 2 T the system emits light like three independent systems. The line that uncouples faster is the σ line.
We study the dynamics of a quantum dot embedded in a three-dimensional microcavity in the strong coupling regime in which the quantum dot exciton has an energy close to the frequency of a confined cavity mode. Under the continuous pumping of the system, the confined electron and hole can recombine either by spontaneous emission through a leaky mode or by stimulated emission of a cavity mode that can escape from the cavity. The numerical integration of a master equation including all these effects gives the dynamics of the density matrix. By using the quantum regression theorem, we compute the first- and second-order coherence functions required to calculate the photon statistics and the spectrum of the emitted light. Our main result is the determination of a range of parameters in which a state of cavity modes with Poissonian or sub-Poissonian (nonclassical) statistics can be built up within the microcavity. Depending on the relative values of pumping and rate of stimulated emission, either one or two peaks close to the excitation energy of the dot and/or to the natural frequency of the cavity are observed in the emission spectrum. The physics behind these results is discussed.
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.
We provide a unified theory of luminescence spectra of coupled light-matter systems realized with semiconductor heterostructures in microcavities, encompassing (i) the spontaneous emission case, where the system decays from a prepared (typically pure) initial state, and (ii) luminescence in the presence of a continuous incoherent pump. We show how, by provoking a self-consistent quantum state, the pump considerably alters the emission spectra, even at vanishing intensities. The main outcome of our analysis is to unambiguously identify strong coupling in situations where it appears in disguise or only seems to appear. Here, we consider bosonic matter fields, in which case fully analytical solutions can be obtained. This describes the case of quantum wells or large quantum dots, or the limit of low excitation where the probability to have particles in the system remains much smaller than one.
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e study theoretically, the photoluminescence properties of a single quantum dot in a microcavity under incoherent excitation. We propose a microscopic quantum statistical approach providing a Lindblad (thus completely positive) description of pumping and decay mechanisms of the quantum dot and of the cavity mode. Our analytical results show that strong coupling (SC) and linewidths are largely independent on the pumping intensity (until saturation effects come into play), in contrast to previous theoretical findings. We shall show the reliable predicting character of our theoretical framework in the analysis of various recent experiments.