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arXiv:cond-mat/0106622 · Physical review. B, Condensed matter

Decay rate and renormalized frequency shift of a quantum wire Wannier exciton in a planar microcavity

Yueh-Nan Chen, Der-San Chuu, Tobias Brandes, B. Krämer

Published Sep 10, 2001• 12 citations
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Abstract

Super-radiant decay rate and frequency shift of a Wannier exciton in a one-dimensional quantum wire are studied. It is shown that the dark-mode exciton can be examined experimentally when the quantum wire is embedded in a planar microcavity. It is also found that the decay rate is greatly enhanced as the cavity length ${L}_{c}$ is equal to the multiple wavelength of the emitted photon. Similar to its decay-rate counterpart, the frequency shift also shows discontinuities at resonant modes.

DOI
10.1103/physrevb.64.125307

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Super-radiant decay rate and frequency shift of a Wannier exciton in a one-dimensional quantum wire are studied. It is shown that the dark-mode exciton can be examined experimentally when the quantum wire is embedded in a planar microcavity. It is also found that the decay rate is greatly enhanced as the cavity length Lc{L}_{c}Lc​ is equal to the multiple wavelength of the emitted photon. Similar to its decay-rate counterpart, the frequency shift also shows discontinuities at resonant modes.
Excitonic superradiance has been predicted to induce a rapid decay rate of coherently excited excitons in thin quantum wells and microspheres. In this paper we revisit this problem and derive the enhancement factor of the radiative decay due to superradiant effects. In a GaAs quantum well, the excitonic superradiant radiative decay can be roughly 320 times faster than the decay of a free electron-hole pair. The exciton decay rate depends strongly on the lateral size of the wave function when the size is smaller than the inverse of the wave vector of the emitted light. In a GaAs quantum well this corresponds to a distance of \ensuremath{\approxeq}365 \AA{}. Therefore, it is predicted that localization and elastic phonon scattering may lead to decay rates substantially smaller than that predicted for an ideal quantum well. It is also shown that if the quantum well is placed inside a microcavity, the decay rate can be enhanced even further since the cavity modifies the available density of radiation states in a way that matches the superradiant emission. It is predicted that in a matched dielectric cavity the decay rate can be enhanced by an additional factor of 100, but that inhomogeneous broadening may in practice limit the possible enhancement.
Low-temperature time-resolved luminescence experiments with 3-ps resolution have been performed on quantum-well excitons embedded in a nonguiding half-wave microcavity that displays the exciton-photon mode splitting. The spontaneous-emission dynamics of each of the two split components was studied as a function of the exciton-cavity detuning under resonant optical excitation. The spontaneous-emission decay rate is significantly modified with respect to the cavityless situation and its detuning dependence is accounted for by the strong radiative coupling between the radiant exciton states and the cavity photon modes. \textcopyright{} 1996 The American Physical Society.