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Linear and Nonlinear Exciton Effects in a Microcavity

Alejandra Valencia, F.J. Rodríguez

Published Jul 1, 2000• 0 citations

Abstract

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.

DOI: 10.1002/1521-3951(200007)220:1<309::aid-pssb309>3.0.co;2-t

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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.

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.

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.

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.

A theory of nonlinear emission of localized excitons coupled to the optical mode of the microcavity is presented.Numerical results are compared with analytical ones.The effects of exciton-exciton interaction within the quantum dots and with the reservoir formed by non-resonant pumping are considered.It is demonstrated that the nonlinearity due to the interaction strongly affects the shape of the emission spectra.The collective superradiant mode of the excitons is shown to be stable against the nonlinear effects.