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Physical review. B, Condensed matter

Self-induced transparency in semiconductor quantum dots

Giovanna Panzarini, Ulrich Hohenester, Elisa Molinari

Published Apr 8, 2002• 48 citations
Publisher

Abstract

We present a theoretical analysis of self-induced transparency in a sample of inhomogeneously broadened semiconductor quantum dots. A general theoretical framework accounting for mutual light-matter interactions in the presence of single and biexciton transitions is presented. Numerical results demonstrate that intense light pulses can propagate in realistic state-of-the-art dot samples without suffering strong losses.

DOI
10.1103/physrevb.65.165322

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We present a theoretical analysis of self-induced transparency in a sample of inhomogeneously broadened semiconductor quantum dots. A general theoretical framework accounting for mutual light-matter interactions in the presence of single and biexciton transitions is presented. Numerical results demonstrate that intense light pulses can propagate in realistic state-of-the-art dot samples without suffering strong losses.
Using a master-equation approach for the description of coherent and incoherent dynamics in `artificial atoms and molecules', we present a theoretical analysis of situations where intense laser fields lead to pronounced renormalizations of carrier states. Such enhanced light-matter interactions allow for the solid-state implementation of effects hitherto only observable in atomic systems. Two prototypical examples will be presented: first, we show how two intense laser pulses can be exploited for a robust and high-fidelity population transfer of carrier states in coupled quantum dots; second, we discuss the possibility of observing self-induced transparency in a sample of inhomogenously broadened quantum dots, a phenomenon where intense laser pulses propagate without suffering significant losses.
A general theory of optical resonance solitons and breathers in the presence of single-excitonic and biexcitonic transitions in an ensemble of inhomogeneously broadened semiconductor quantum dots is constructed. Optical plane wave solitons ($2\ensuremath{\pi}$ pulses) are formed in stacked layer structures (many-layered systems) of semiconductor quantum dots. Optical small-amplitude bright breathers ($0\ensuremath{\pi}$ pulses) in semiconductor quantum dot waveguides are considered. Explicit analytical expressions for the shape and parameters of the solitons and breathers in the regime of self-induced transparency are obtained as well as simulations of the space-time dynamics of two-dimensional breathers presented with realistic parameters which can be reached in current experiments. It is shown that, unlike for plane wave breathers, the parameters additionally depend on the waveguide mode. In the special case of plane wave breathers in semiconductor quantum dots, known analytical results are recovered.
We discover and theoretically explore self-induced transparency quadratic solitons (SIT-QS) supported by the media with quadratic optical nonlinearities, doped with resonant impurities. The fundamental frequency of input pulses is assumed to be close to the impurity resonance. We envision an ensemble of inhomogeneously broadened semiconductor quantum dots (QD) in the strong confinement regime grown on a substrate with a quadratic nonlinearity to be a promising candidate for the laboratory realization of SIT-QS. We also examine the influence of inhomogeneous broadening as well as wave number and group-velocity mismatches on the salient properties of the introduced solitons.
We investigate the feasibility of minimum absorption and minimum broadening of pulse propagation in an inhomogeneously broadened semiconductor quantum dot medium. The phonon interaction is inevitable in studying any semiconductor quantum dot system. We have used the polaron transformation technique to deal with quantum dot phonon interaction in solving system dynamics. We demonstrate that a short pulse can propagate inside the medium with minimal absorption and broadening in pulse shape. The stable pulse area becomes slightly higher than the prediction of the pulse area theorem and is also dependent on the environment temperature. The change in the final pulse shape is explained very well by numerically solving the propagation equation supported by the susceptibility of the medium. Our system also exhibits the pulse breakup phenomena for higher input pulse areas. Therefore, the considered scheme can have important applications in quantum communication, quantum information, and mode-locking with the advantage of scalability and controllability.