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Gain without inversion in semiconductor nanostructures

Abstract

When Einstein showed that light amplification needed a collection of atoms in ‘population inversion’ (that is, where more than half the atoms are in an excited state, ready to emit light rather than absorb it) he was using thermodynamic arguments1. Later on, quantum theory predicted2,3 that matter–wave interference effects inside the atoms could, in principle, allow gain without inversion (GWI). The coherent conditions needed to observe this strange effect have been generated in atomic vapours4, but here we show that semiconductor nanostructures can be tailored to have ‘artificial atom’ electron states which, for the first time in a solid, also show GWI. In atomic experiments, the coherent conditions, typically generated either by coupling two electron levels to a third with a strong light beam2,3 or by tunnel coupling both levels to the same continuum (Fano effect5), are also responsible for the observation of ‘electromagnetically induced transparency’ (EIT)6. In turn, this has allowed observations of markedly slowed7 and even frozen8 light propagation. Our ‘artificial atom’ GWI effects are rooted in the same phenomena and, from an analysis of the absorption changes, we infer that the light slows to c/40 over the spectral range where the optical gain appears.

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Figure 1: Schematic of the ‘dressing’ of electron energy levels by a strong coupling beam9.
Figure 2: The ‘artificial atom’ layered semiconductor nanostructure and the prism-shaped sample.
Figure 3: Optical absorption/gain spectra for the |1〉–|2〉 transition in the presence of various coupling fields.
Figure 4: Dispersion characteristics in the region of the GWI feature.

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Acknowledgements

We are grateful to the UK Engineering and Physical Sciences Research Council for funding this project.

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Correspondence to C. C. Phillips.

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Frogley, M., Dynes, J., Beck, M. et al. Gain without inversion in semiconductor nanostructures. Nature Mater 5, 175–178 (2006). https://doi.org/10.1038/nmat1586

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