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- W2079580978 abstract "Excitons are sometimes trapped at impurities in crystals and at defects on interfaces in the confined systems, such as quantum wells and microcrystallites embedded in a host matrix. We discuss these trapping effects on the third-order optical polarization under nearly resonant pumping of the exciton. First we predict an enhancement of ${mathrm{ensuremath{chi}}}^{(3)}$(ensuremath{Omega};ensuremath{Omega},-ensuremath{Omega},ensuremath{Omega}) by a factor ${mathrm{ensuremath{Gamma}}}_{mathit{n}ensuremath{rightarrow}mathit{T}}$/${mathrm{ensuremath{Gamma}}}_{mathit{T}ensuremath{rightarrow}mathit{g}}$ multiplicatively on that enhanced by the large excitonic dipole moments. Here ${mathrm{ensuremath{Gamma}}}_{mathit{n}ensuremath{rightarrow}mathit{T}}$ and ${mathrm{ensuremath{Gamma}}}_{mathit{T}ensuremath{rightarrow}mathit{g}}$ are, respectively, the rate at which the exciton is trapped and the decay rate of the trapped electron into the ground state. In many cases, ${mathrm{ensuremath{Gamma}}}_{mathit{n}ensuremath{rightarrow}mathit{T}}$ is much larger than ${mathrm{ensuremath{Gamma}}}_{mathit{T}ensuremath{rightarrow}mathit{g}}$ so that a large enhancement of ${mathrm{ensuremath{chi}}}^{(3)}$ is expected. Second, the four-wave mixing spectrum ensuremath{Vert}${mathrm{ensuremath{chi}}}^{(3)}$(2${mathrm{ensuremath{Omega}}}_{1}$-${mathrm{ensuremath{Omega}}}_{2}$;${mathrm{ensuremath{Omega}}}_{1}$,-${mathrm{ensuremath{Omega}}}_{2}$,${mathrm{ensuremath{Omega}}}_{1}$)ensuremath{Vert} under two beams ${mathrm{ensuremath{Omega}}}_{1}$ and ${mathrm{ensuremath{Omega}}}_{2}$ is shown to consist of three hierarchical structures as a function of ${mathrm{ensuremath{Omega}}}_{1}$-${mathrm{ensuremath{Omega}}}_{2}$, i.e., the sharpest spike around ${mathrm{ensuremath{Omega}}}_{1}$-${mathrm{ensuremath{Omega}}}_{2}$=0 with the linewidth ensuremath{Vert}${mathrm{ensuremath{Omega}}}_{1}$-${mathrm{ensuremath{Omega}}}_{2}$ensuremath{Vert}=${mathrm{ensuremath{Gamma}}}_{mathit{T}ensuremath{rightarrow}mathit{g}}$, the steep shoulder with the center also at ${mathrm{ensuremath{Omega}}}_{1}$-${mathrm{ensuremath{Omega}}}_{2}$=0 and the width ${mathrm{ensuremath{Gamma}}}_{mathit{n}}$ (the exciton decay rate), and the wide structure with the width ${mathrm{ensuremath{Gamma}}}_{mathit{n}mathit{g}}$ around ${mathrm{ensuremath{Omega}}}_{1}$=${mathrm{ensuremath{omega}}}_{1mathit{s}}$ and ${mathrm{ensuremath{Omega}}}_{2}$=${mathrm{ensuremath{omega}}}_{1mathit{s}}$. Here ${mathrm{ensuremath{Gamma}}}_{mathit{n}mathit{g}}$ is the relaxation rate of the exciton polarization and ensuremath{Elzxh}${mathrm{ensuremath{omega}}}_{1mathit{s}}$ the lowest exciton energy. Third, the differential transmission spectrum is found to show the strong absorption saturation peak or the sharp induced absorption dip as a function of pump-probe detuning ${mathrm{ensuremath{Omega}}}_{2}$-${mathrm{ensuremath{Omega}}}_{1}$, depending upon the pump frequency ${mathrm{ensuremath{Omega}}}_{1}$ relative to the exciton peak ${mathrm{ensuremath{omega}}}_{1mathit{s}}$." @default.
- W2079580978 created "2016-06-24" @default.
- W2079580978 creator A5024448275 @default.
- W2079580978 date "1992-08-15" @default.
- W2079580978 modified "2023-09-30" @default.
- W2079580978 title "Effects of trapped states on spectra of four-wave mixing and differential transmission" @default.
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- W2079580978 doi "https://doi.org/10.1103/physrevb.46.4718" @default.
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