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Journal of the Optical Society of America B

Mutual transparency of coherent laser beams through a terahertz-field-driven quantum well

Alexey V. Maslov, David S. Citrin

Published Aug 1, 2002• 7 citations
Publisher

Abstract

Quantum-well excitons dressed by a terahertz field have multiple optical resonances. An optical beam tuned to any of the resonant frequencies excites the dressed-exciton state; therefore the optical beam experiences attenuation upon its transmission. For two coherent optical beams tuned to two different resonant frequencies, however, one can judiciously choose the amplitudes and phases in such a way that the beams do not produce any excitation, and thus they experience no attenuation, even though each of beams would be strongly attenuated in the absence of the other. This two-color scheme also suggests coherent control of dressed excitons by a pair of phase-locked pulses with different carrier frequencies and nonoverlapping spectra.

DOI
10.1364/josab.19.001905

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Quantum-well excitons dressed by a terahertz field have multiple optical resonances. An optical beam tuned to any of the resonant frequencies excites the dressed-exciton state; therefore the optical beam experiences attenuation upon its transmission. For two coherent optical beams tuned to two different resonant frequencies, however, one can judiciously choose the amplitudes and phases in such a way that the beams do not produce any excitation, and thus they experience no attenuation, even though each of beams would be strongly attenuated in the absence of the other. This two-color scheme also suggests coherent control of dressed excitons by a pair of phase-locked pulses with different carrier frequencies and nonoverlapping spectra.
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.
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.
An approach for solving the excitonic absorption in a semiconductor quantum well driven by an intense terahertz field is presented. The formalism relies on the stationary single-photon Schrodinger equation in the full quantum mechanical framework. The optical absorption dynamics in both weak and strong couplings are discussed and compared. The excitonic absorption spectra show the Autler—Townes doublets for the resonance terahertz field, a replica peak for the non-resonance terahertz field, and the electromagnetically induced transparency phenomenon for modulating the decay rate of the second electron state in the weak coupling. In particular, the electromagnetically induced transparency phenomenon window range is discussed. In the strong coupling region, the multi-order energy level resonance splitting due to the strong optical field is found. There are three (non-resonance terahertz field) or four (resonance terahertz field) peaks in the optical absorption spectra. This work provides a simple and convenient approach to deal with the optical absorption in the exciton system.
The normal modes in a nonperturbatively coupled quantum-well semiconductor microcavity are linear superpositions of the QW exciton and cavity mode when the QW exciton transition is resonant with the cavity mode. When the lower normal mode is excited by a phase-locked pair of optical pulses, the nonlinear response of a probe pulse tuned to the upper mode is controlled. Thus the normal modes are coupled in their nonlinear optical response due to the nonlinearity of the exciton underlying the two normal modes. The cavity enhancement of the excitonic nonlinearity gives rise to a large signal; modulating the relative phase of the excitation pulses produces a differential reflectivity of up to 10%. Besides the coherent control of normal modes which is explainable with in the frame of semiclassical models, we observe a purely quantum mechanical phenomenon in our system. The quantum correlations between the field and carrier density lead to intraband coherences which live much longer than the interband dephasing time.
Summary form only given. The optical coherent control of quantum mechanical systems enables the direct manipulation of quantum states, and has been demonstrated on excitonic transitions in semiconductors. We have demonstrated the coherent control of the nonlinear optical response of quantum-well excitons in a resonant high-Q microcavity. There are two significant advantages to using excitons in microcavities instead of bare quantum wells: first, the multiple reflections which occur in the cavity strongly enhance the optical nonlinearity, enabling large-signal coherent control, and second, 2-color coherent control may be implemented, where a pump pulse tuned to one of the normal modes of the coupled exciton-microcavity system can control the response of a probe tuned to the other normal mode. The nonlinear response of the normal modes is due to the nonlinearity of the underlying exciton transition.
Semiconductor quantum well electroabsorption modulators are widely used to modulate near-infrared (NIR) radiation at frequencies below 0.1 terahertz (THz). Here, the NIR absorption of undoped quantum wells was modulated by strong electric fields with frequencies between 1.5 and 3.9 THz. The THz field coupled two excited states (excitons) of the quantum wells, as manifested by a new THz frequency- and power-dependent NIR absorption line. Nonperturbative theory and experiment indicate that the THz field generated a coherent quantum superposition of an absorbing and a nonabsorbing exciton. This quantum coherence may yield new applications for quantum well modulators in optical communications.