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Physical Review Letters

Electric-field-induced changes in the two-photon absorption spectrum of multiple-quantum-well structures

Kazuhito Fujii, Akira Shimizu, Johan Bergquist, Takeshi Sawada

Published Oct 1, 1990• 14 citations
Publisher

Abstract

We have measured two-photon absorption spectra of quantum-well structures in static electric fields for photon energies close to half the band-gap energy, and found drastic static-field-induced changes in the spectra. Our experimental results agree with a theory based on an infinite-level model, the validity of which was previously established at zero bias, except that a field-induced growth of the two-photon absorption peak at half the lowest light-hole excitation energy is more drastic than the theoretical prediction. At high bias fields the peak height approaches a large value predicted by another simplified theory based on a two-level model.

DOI
10.1103/physrevlett.65.1808

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We have measured two-photon absorption spectra of quantum-well structures in static electric fields for photon energies close to half the band-gap energy, and found drastic static-field-induced changes in the spectra. Our experimental results agree with a theory based on an infinite-level model, the validity of which was previously established at zero bias, except that a field-induced growth of the two-photon absorption peak at half the lowest light-hole excitation energy is more drastic than the theoretical prediction. At high bias fields the peak height approaches a large value predicted by another simplified theory based on a two-level model.
We have measured two-photon-absorption spectra of GaAs/Al 0.4 Ga 0.6 As quantum-well structures in a static electric field for photon energies near half the band gap energy, and found drastic field-induced-changes in the spectra. The two-photon-absorption peak at half the energy of the lowest light-hole exciton is induced by the static electric field normal to the quantum well layers, in agreement with a theory that takes account of quasi-two-dimensional exciton effects. With increasing the electric field, however, this peak grows more drastically than the theoretical prediction, and it approaches a large value predicted by another simplified theory based on a two-level model.
Two-photon absorption spectroscopy was performed in GaAs quantum wells with photon energy \ensuremath{\Elzxh}\ensuremath{\omega} near half the band gap Eg{\mathrm{E}}_{\mathrm{g}}Eg​. For the case of incident light polarized perpendicular to the confinement direction \ensuremath{\epsilon}^\ensuremath{\perp}z^, the onset of two-photon absorption occurs at the 2P state of the lowest-energy heavy-hole exciton and the absorption increases linearly with 2\ensuremath{\Elzxh}\ensuremath{\omega}-Eg{\mathrm{E}}_{\mathrm{g}}Eg​. For \ensuremath{\epsilon}^\ensuremath{\parallel}z^, the two-photon spectrum is stepped with superpositions of sharp 1S exciton features at odd \ensuremath{\Delta}N light-hole--conduction-band transitions. These results are used to accurately determine exciton binding energy, successive subband energy splittings, and band offsets.
The author has considered the interference spectra arising from the competition between absorption and stimulated emission processes, which have been induced by two laser fields operating at a two-photon resonance with a three-level atom in the ' Lambda ' configuration. In the low intensity limit of both laser fields, the induced spectrum in the ground state consists mainly of a peak, whose height and asymmetry depend strongly on the value of the detuning of the laser fields. In the absence of detuning, the height of the induced peak takes positive values implying that the physical process of absorption (attenuation) takes place, while at finite detunings the height of the peak becomes negative indicating the frequencies at which stimulated emission (amplification) is likely to occur. The spectra arising from the emission of a laser photon by the excited state consist of two peaks describing stimulated emission and induced absorption, respectively, where the former dominates the latter for small values of the Rabi frequencies but for higher ones, cancel each other out.
We examine the influence of a static dc electric field on Electromagnetically Induced Transparency (EIT) resonances that involve highly excited Rydberg states. Our focus is on how these resonances are altered when the relative orientation between the laser polarization and the external electric field vectors are varied. We experimentally demonstrate characteristic variations in the amplitude of the Stark-split EIT resonances, which can be explained by the selection rules in various geometries. We also present a simplified semi-analytical model that closely resembles the experimental observations. We use these findings to obtain information about the spatially inhomogeneous electric field, produced by a biased wire, using EIT fluorescence measurements that agrees with the expected angular dependencies. These results suggest that simultaneous analysis of frequency shifts and amplitudes of Rydberg EIT resonances may enable vector electrometry of electrostatic fields, necessary for many quantum sensing applications.
Studies the competition between absorption and stimulated emission induced by two laser fields at low intensities interacting on a two-photon resonance with a three-level atom. The induced spectrum into the ground state consists of a peak whose height and asymmetry depend strongly on the detuning. The spectra arising from the emission of a laser photon by the excited state consists of two peaks describing stimulated emission and induced absorption, respectively, where the former dominates the latter for small values of the Rabi frequencies but for higher ones, they cancel each other out.
Infrared intersubband optical absorption between the quantized subbands and the Stark effects is of considerable interest because of their potential applications in high-speed IR modulators and photodetectors. Recently, we calculated the linear1 and third-order nonlinear2 intersubband optical absorptions with an applied electric field for the infinite quantum-well model with an effective well width (which gives the same ground state energy of a given finite quantum well). The observed intersubband absorption has a large dipole strength suggesting large optical nonlinearities which are in good agreement with our calculation based on the simple model. Distinct features of the intersubband absorption are as follows: (a) The absorption peak for the intersubband absorption increases in energy with increasing electric field over a wide range of the electric field because the energy difference between the two lowest subbands increases with the electric field. (b) The absorption peak for the intersubband absorption may (1) increase in magnitude with an increasing electric field if the intrasubband relaxation time τin is assumed to be constant or (2) decrease with an increasing electric field if the field broadening of the linewidth is taken into account. The nonlinear optical absorption coefficient with the electric field dependence is discussed.