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Physica status solidi. C, Conferences and critical reviews/Physica status solidi. C, Current topics in solid state physics

Strong light‐matter coupling in a quantum dot: local field effects

Gregory Ya. Slepyan, A. Magyarov, С. А. Максименко, A. Hoffmann, D. Bimberg

Published Feb 1, 2005• 1 citation
Publisher

Abstract

Manifestation of local fields in excitonic Rabi oscillations in an isolated arbitrary shaped quantum dot (QD) has been theoretically investigated. Interaction of QD with harmonic electromagnetic field as well as with ultrashort optical pulse has been considered. Bifurcation and anharmonism in the Rabi oscillations in a QD are predicted. Step-like transitions of the inversion as a function of peak pulse strength are demonstrated to be observable in a QD exposed to a Gaussian pulse. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

DOI
10.1002/pssc.200460345

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Manifestation of local fields in excitonic Rabi oscillations in an isolated arbitrary shaped quantum dot (QD) has been theoretically investigated. Interaction of QD with harmonic electromagnetic field as well as with ultrashort optical pulse has been considered. Bifurcation and anharmonism in the Rabi oscillations in a QD are predicted. Step-like transitions of the inversion as a function of peak pulse strength are demonstrated to be observable in a QD exposed to a Gaussian pulse. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
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.
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.
Abstract We report the excitonic Rabi oscillations in self assembled quantum dots observed by photon echo spectroscopy. The amplitude of the observed Rabi oscillations increases with the pulse area, which is different from the results of previous reports. A numerical calculation of the Rabi oscillations including the local field effect in a quantum dot well reproduces the experimental oscillations, indicating that the local field effect is one of the important origins of the modification of the Rabi oscillations in quantum dots (© 2012 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Abstract We report on non‐linear effects on the exciton ground state in a single quantum dot, driven by a strong resonant optical field. The resonant excitation is achieved by embedding the quantum dots in a waveguiding structure. Thus, the light–matter coupling is enhanced, allowing the observation of Rabi oscillations up to three periods. With increasing pulse area, a decrease of the exciton lifetime is observed leading to a very rapid damping of the oscillations amplitude. Resonant coherent control experiments show that the coherence time of the ground exciton state in a single quantum dot is fast, of the order of a few tens of picoseconds. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
A theory of both linear and nonlinear electromagnetic responses of a single quantum dot (QD) exposed to quantum light, accounting for depolarization induced local field has been developed. Based on the microscopic Hamiltonian accounting for the electron-hole exchange interaction, an effective two-body Hamiltonian has been derived and expressed in terms of the incident electric field, with a separate term describing the QD depolarization. The quantum equations of motion have been formulated and solved using the Hamiltonian for various types of the QD optical excitation, such as Fock qubit, coherent fields, vacuum state of electromagnetic field, and light with arbitrary photonic state distribution. For a QD exposed to coherent light, we predict the appearance of two oscillatory regimes in the Rabi effect separated by the bifurcation. In the first regime, the standard collapse-revival phenomenon does not reveal itself and the QD population inversion is found to be negative, while in the second one, the collapse-revival picture is found to be strongly distorted as compared to that predicted by the standard Jaynes-Cummings model. For the case of QD interaction with an arbitrary quantum light state in the linear regime, it has been shown that the local field induces a fine structure of the absorbtion spectrum. Instead of a single line with frequency corresponding to the exciton transition frequency, a duplet appears, with one component shifted by the amount of the local field coupling parameter. It has been demonstrated that the strong light--matter coupling regime arises in the weak-field limit. A physical interpretation of the predicted effects has been proposed.
Abstract We numerically investigated optical Rabi oscillations of excitonic polarization in a quantum dot ensemble, taking into consideration the spatial distribution of both the excitation electric field and the coherent signal field. We show that the spatial distributions of the signal fields change drastically by increasing the pulse area for excitation pulses with a Gaussian spatial distribution. We found that the ensemble average of the signal intensity is affected by the size of the aperture located in front of the detector, depending on the spatial distribution of the signals on the detector. (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)