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Journal of Physics Condensed Matter

Coherent control of resonant quantum well emission

N. Garro, Melissa Snelling, Simon Kennedy, R. T. Phillips, Klaus Ploog

Published Jul 22, 1999• 7 citations
Publisher

Abstract

We have investigated the manipulation of the phase and amplitude of the state of a three-level exciton system by excitation with pairs of phase-locked optical pulses. We demonstrate coherent control over the phase of quantum beating between the light- and heavy-hole excitons which are the components of the system. The state of the system is monitored by time-resolved detection of the resonant secondary emission coupled out of the system in non-phase-matched directions by virtue of the static disorder. We show that the amplitude of the coherent manipulation must diminish as a function of time delay between the components of the pulse pair in a way which takes into account both the dephasing of the excitons and their unphasing which arises from inhomogeneous broadening.

DOI
10.1088/0953-8984/11/31/313

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We have investigated the manipulation of the phase and amplitude of the state of a three-level exciton system by excitation with pairs of phase-locked optical pulses. We demonstrate coherent control over the phase of quantum beating between the light- and heavy-hole excitons which are the components of the system. The state of the system is monitored by time-resolved detection of the resonant secondary emission coupled out of the system in non-phase-matched directions by virtue of the static disorder. We show that the amplitude of the coherent manipulation must diminish as a function of time delay between the components of the pulse pair in a way which takes into account both the dephasing of the excitons and their unphasing which arises from inhomogeneous broadening.
Phase-locked pulse pairs are used for resonant excitation of excitons confined within GaAs/AlGaAs quantum wells. The time-resolved secondary emission displays strong dependence on the relative phases of the two pulses for inter-pulse delays of the order of 1ps or less. Constructive interference is combined with an increase in the rise time of the emission following the second pulse. For longer inter-pulse delays the different phases of inhomogeneous excitons complicate the effect of the second pulse, with the apparent effect changing with time after the second pulse. To model this, the optical Bloch equations for a line of three-level systems are integrated over time and the resulting polarisations summed over a range of angles. The importance of the inhomogeneity in descriptions of coherent control of secondary emission is shown.
Dipole-forbidden transitions have been investigated by means of coherent control techniques. The 2p heavy-hole excitonic transition of a GaAs/AlGaAs multiple quantum well system was excited by a pair of phase-locked pulses with their energy at half the transition energy. The temporal evolution of the amplitude of coherent control, monitored in the secondary emission at the 1s heavy-hole exciton energy, showed two different contributions: one at the frequency of the optical field, and a second one at twice that frequency, from the interference of the excitonic polarisation. The latter component contains, besides the energy of the dark transition, information about the dynamics of the state.
Temporal coherent control experiment have been performed on semiconductor quantum well structures, using a sequence of polarized excitation pulses. The oscillatory behaviour of the populations, spin and alignment of the exciton states are observed through the time resolved secondary emission when the time separation between the two excitation pulses is varied. We show that, in specular detection direction, for bare quantum wells at 10 K and low exciton densities, the oscillations amplitude decay is determined by the exciton inhomogeneous broadening. In non-specular detection directions however, when the SE is dominated by resonant Rayleigh scattering, the decay is longer and becomes temperature dependent, which strongly supports that it is now determined by the exciton dephasing time.
The coherent control of excitonic and biexcitonic polarization in pulse-transmission and four-wave-mixing (FWM) experiments is analysed with real time resolution. As a model system a ZnSe single quantum well is exclusively excited at the heavy-hole exciton and exciton–biexciton resonance. In pulse-transmission experiments the coherent control of excitonic polarization is shown for low excitation intensities. At elevated excitation intensities the dephasing time of the polarization is found to be strongly dependent on the relative phase of two phase-locked laser pulses which perform the coherent manipulation of the polarization. In FWM experiments the separate coherent control of the excitonic and biexcitonic FWM polarization is demonstrated which enables a coherent manipulation of the amplitude and phase of exciton–biexciton beats which are observed on the FWM polarization transients.
A detailed theoretical study of the time-integrated signal of spontaneous quasi-elastic secondary emission excited by a pair of phase-locked pulses has shown that coherent control is a promising method for measuring the total dephasing rate of a resonant optical transition. This method may be used to study both the homogeneously and inhomogeneously broadened systems, which is highly important in studies of semiconductor quantum dots. Analysis of components of the secondary emission in the framework of the developed theory has allowed us to find a physically justified criterion for separating the scattering and luminescence signals. The role of spectral filtering of the measured signal in determination of the phase and energy relaxation parameters is elucidated.
A new optical effect, the coherent control of spontaneous secondary emission with the participation of optical phonons in systems with discrete spectra of electronic transitions, is studied theoretically. Analytical formulas are obtained that describe the time-integrated signals of secondary emission excited resonantly by a pair of phase-locked pulses in the homogeneously and inhomogeneously broadened systems of semiconductor quantum dots. It is shown that coherent control is a promising method for measuring the total dephasing rates of a resonance optical transition. A physically justified criterion for discriminating between scattering and luminescence in the secondary emission is found. The role of spectral filtering of the signal in the measurements of phase and energy relaxation parameters is elucidated.