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Journal of Modern Optics

Local field effects on population dynamics in a driven quantum dot system: general initial conditions§

Andreas Terzis, Emmanuel Paspalakis

Published Sep 10, 2007• 2 citations
Publisher

Abstract

The effects of local fields, due to electron–hole dipole–dipole interactions, on the excitonic population dynamics of a quantum dot system are studied. The system interacts resonantly with a continuous wave electromagnetic field. We present analytical solutions of the nonlinear optical Bloch equations for any initial condition. We also thoroughly investigate the dynamics of population inversion of the system and show that effects such as extended Rabi oscillations, self-trapping in the initial state and symmetry-breaking can occur.

DOI
10.1080/09500340701357416

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The effects of local fields, due to electron–hole dipole–dipole interactions, on the excitonic population dynamics of a quantum dot system are studied. The system interacts resonantly with a continuous wave electromagnetic field. We present analytical solutions of the nonlinear optical Bloch equations for any initial condition. We also thoroughly investigate the dynamics of population inversion of the system and show that effects such as extended Rabi oscillations, self-trapping in the initial state and symmetry-breaking can occur.
We study the effects of local fields, due to electron-hole dipole-dipole interactions, on the excitonic population dynamics of an isolated quantum dot system under the interaction with either CW or pulsed and appropriately chirped electromagnetic fields. The analysis of the dynamics of the system is achieved by the analytical and numerical solution of the optical Bloch equations, under the rotating wave approximation. In the theoretical investigation of the system, emphasis is given to the effects of local fields in excitonic Rabi oscillations and to the conditions that give rise to population inversion in the system.
We study theoretically the influence of local fields in the excitonic population dynamics of a quantum dot system under the interaction with either CW or pulsed and appropriately chirped electromagnetic fields. Using a microscopic approach for the analysis of the system we present analytical and numerical results from the solution of the optical Bloch equations, with emphasis given to the effects of local fields in excitonic Rabi oscillations and to the conditions that could give rise to population inversion in the system.
The influence of electron-hole dipole-dipole interactions (local fields) on the excitonic Rabi oscillations in an isolated quantum dot (QD) has been theoretically investigated. An analysis for the QD interaction with monochromatic field and ultrashort Gaussian pulse has been performed. On the basis of optical Bloch equations the Rabi oscillation dynamics has been investigated. As a result, the bifurcation and essentially anharmonic regimes in the Rabi oscillations in a QD exposed to the monochromatic field have been predicted. The strong dependence of the period of Rabi oscillations on the QD depolarization has been revealed. For the Gaussian pulse it has been shown that the final state of inversion as a function of the pulse peak strength demonstrates step-like transitions.
We theoretically investigate the influence of dynamic Coulomb interaction on optical bistability and Rabi oscillations in a driven two-level semiconductor quantum dot system under laser irradiation. Using density matrix equations derived from the Coulomb-interaction model proposed by Lu et al. [Phys. Rev. A 103, 043504 (2021)], we obtain analytical solutions for population inversion under the rotating wave approximation. Our analysis shows that the Coulomb interaction induces optical bistability, governed by a cubic equation. The thresholds and the shapes of the hysteresis loops are tunable and can be controlled by various parameters, including electron density, confinement potential, detuning, and dephasing. Additionally, our numerical simulations demonstrate the potential for achieving high-efficiency population inversion and predicting bifurcation and anharmonic regimes in Rabi oscillations under monochromatic excitation.
The influence of local fields on the excitonic Rabi oscillations in isolated, arbitrary shaped quantum dot (QD) has been theoretically investigated. Hamiltonian of the system "QD+electromagnetic field" has been obtained. Both QD interaction with classical electromagnetic field and ultrashort optical pulse has been considered. As a result, the bifurcation and anharmonism in the Rabi oscillations in a QD exposed to the monochromatic field have been predicted. The dependence of Rabi oscillations period on the QD depolarization parameter, which characterize local field has been obtained. It has been shown, that for the Gaussian pulse the final state of inversion as a function of peak pulse strength demonstrates step-like transitions.