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Journal of Optics B Quantum and Semiclassical Optics

Collapses and revivals of exciton emission in a semiconductor microcavity

Guangri Jin, Zhaoxin Liang, Wu-Ming Liu

Published May 6, 2004• 8 citations
Publisher

Abstract

We investigate novel oscillating emission modulated by collapses and revivals due to nonlinear exciton-exciton interaction in a semiconductor microcavity. The analytical expressions of the light intensity for both the excitonic number state and the coherent state are presented by using a rotating wave approximation. Our results show that the revival time of the coherent state case is twice that of the number state, which may be useful in practical experiments to measure the quantum state of the excitons.

DOI
10.1088/1464-4266/6/7/006

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We investigate novel oscillating emission modulated by collapses and revivals due to nonlinear exciton-exciton interaction in a semiconductor microcavity. The analytical expressions of the light intensity for both the excitonic number state and the coherent state are presented by using a rotating wave approximation. Our results show that the revival time of the coherent state case is twice that of the number state, which may be useful in practical experiments to measure the quantum state of the excitons.
We investigate exciton emission of a quantum well embedded in a semiconductor microcavity. The analytical expressions of the light intensity for the cases of the excitonic number state and the coherent state are presented by using secular approximation. Our results show that the effective exciton-exciton interaction leads to the appearance of collapse and revival of the light intensity. The revival time is twice compared the coherent state case with that of the number state. The dissipation of the exciton-polariton lowers the revival amplitude but does not alter the revival time. The influences of the detuning and the phase-space filling are studied. We find that the effect of higher-order exciton-photon interaction can be removed by adjusting the detuning.
We investigate collapses and revivals of the light intensity with collective excitation of two-level atoms in a high-Q cavity. By using Secular approximation, we present the analytical expressions of the light intensity for the cases of the excitonic number state and the coherent state. In our results, it is shown that the effective exciton-exciton interaction results in the appearance of collapse and revival of the light intensity. The revival time is strongly depended on the atomic number, the detuning, the atomic transition frequency and the atom-field coupling constants.
The exciton–photon effects on a microcavity are reported. In particular, the emission spectrum of a semiconductor quantum well embedded in a microcavity is obtained, including nonlinear effects such as exciton–exciton correlation. By solving the Heisenberg equations for the excitons and photons the polariton dispersion energy and the emission spectrum is calculated. It is shown the presence of collapses and revivals when the nonlinear interaction parameter is less than the exciton–photon coupling. For nonlinear exciton–exciton coupling values similar to exciton–photon coupling the results show that the time line shape is independent of the nonlinear term but the polariton peak position is blueshifted. Reasonable agreement is found with the experimental situation.
The quantum features of the temporal photon statistics of an exciton–cavity coupled system in a quantum-well semiconductor microcavity are investigated analytically. Under the secular approximation, if the nonlinear interactions, i.e. the exciton–exciton coupling and the phase-space filling, are much weaker than the exciton–photon interaction, the evolution of the Fano factor shows that the distribution of the photon numbers exhibits the feature of collapses–revivals (CRs), and the relevant revival time may be adjusted by several factors such as the total particle number, the detuning, and the nonlinear coupling strengths, etc. Especially, the ideal maximum antibunching with the minimum value 0 of the Fano factor occurs periodically for such a situation, with the dissipation of exciton–polariton being ignored.
A microscopic theory to study the combined dynamics of a quantum dot exciton coupled to a single cavity mode as well as acoustic phonons is presented. By considering the phonon subsystem in the coherent state representation, the phonon’s impact on the emitted photons is investigated. The single photon emission probability and phonon effects on this quantity are studied. On the other hand, we illustrate that while a quantum dot interacts with a single cavity mode, the collapse and revival phenomenon will occur. It is demonstrated that acoustic phonons have a pronounced impact on the collapse and revival of the quantum dot exciton. Our finding reveals that at elevated temperatures the phonon interaction decreases the Rabi frequency. Moreover, the cavity mode possesses non-classical features such as sub-Poissonian statistics.