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Quantum Electronics and Laser Science Conference

Quantum correlations in a semiconductor microcavity

Peter Brick, Claudia Ell, Matthias Hübner, E. S. Lee, Ove Lyngnes, John P. Prineas, G. Khitrova, H. M. Gibbs, M. Kira, F. Johnke, S. W. Koch, DENNIS GLENN DEPPE, Diana L. Huffaker

Published Nov 13, 2002• 0 citations
Publisher

Abstract

Summary form only given. The nonlinear optical response of semiconductor microcavities in the nonperturbative regime has been the subject of many recent experiments. Contrary to clear demonstrations of the quantized nature of the vacuum-field Rabi splitting of a single atom, most of the experiments on semi-conductor microcavities could be explained in terms of a classical light field. Only recently, quantized light field effects have been reported in a coherent control experiment (Lee et al, 1999) and theoretically investigated in secondary emission (Kira et al, 1999). Here, results are presented that display a pronounced third transmission maximum lying energetically between the two normal modes. The third peak can be observed in resonant femtosecond single-beam as well as picosecond pump-probe experiments under various excitation conditions.

DOI
10.1109/qels.2001.962146

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•Jan 1, 1997•1 citation
Summary form only given. The nonlinear optical response of semiconductor microcavities in the nonperturbative regime has been the subject of many recent experiments. Contrary to clear demonstrations of the quantized nature of the vacuum-field Rabi splitting of a single atom, most of the experiments on semi-conductor microcavities could be explained in terms of a classical light field. Only recently, quantized light field effects have been reported in a coherent control experiment (Lee et al, 1999) and theoretically investigated in secondary emission (Kira et al, 1999). Here, results are presented that display a pronounced third transmission maximum lying energetically between the two normal modes. The third peak can be observed in resonant femtosecond single-beam as well as picosecond pump-probe experiments under various excitation conditions.
Recently, several research groups have reported investigations of vacuum-field Rabi splittings (VRS) in the linear response of strongly coupled semiconductor microcavities [1-4]. We have previously reported on the dynamics of time-domain vacuum Rabi oscillations, which are most easily understood in the framework of cavity exciton-polaritons, in which the in-plane momentum k|| is conserved [2], so that at each k|| a single cavity mode interacts with only a single mode of the electromagnetic field (Jaynes-Cummings model). In high Q semiconductor microcavities, the strong coupling between two-dimensional excitons and planar distributed- Bragg-reflector cavity modes results in several-meV splittings observable in the reflectivity or absorption spectrum. In the low excitation regime, the VRS is independent of light intensity incident on the cavity, since the vacuum-Rabi frequency exceeds the externally-driven Rabi frequency (in which case the Jaynes-Cummings model is equivalent to the linear dispersion of the coupled exciton-cavity system). As the incident light intensity is increased, two different effects may be expected to contribute to the nonlinear response. First, as long as the excitonic absorption is equivalent to a two-level system, higher-lying states of the Jaynes-Cummings ladder might be observable. Second, at high intensity phase-space filling and Coulomb screening of the exciton states results in a reduced oscillator strength which leads to a reduced VRS; this effect has no analogue in the case of atom-cavity systems. In this paper, we apply several ultrafast nonlinear techniques to investigate the nonlinear response of semiconductor microcavities.
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.
Nonlinear optical phenomena in both semiconductor microcavities and sodium vapor are investigated. Systems displaying atomic and excitonic coupling are studied in detail in order to unravel underlying physical principles. Possible applications for these systems are evaluated where appropriate. Normal-mode coupling (NMC) in a semiconductor microcavity is achieved when a narrow-linewidth quantum well exciton resonance is coincident with the cavity mode of a high-finesse microcavity. This interaction leads to a double-peaked spectrum in either transmission, reflection, or photoluminescence (PL). The high-quality microcavities studied here at liquid-Helium temperatures reveal intensity dependent behavior that has not previously been observed. Nonlinear saturation of the exciton leads to a spectral broadening of the excitonic absorption without a significant loss in oscillator strength. This results in a reduction of the two transmission peaks with almost no change in the splitting between the peaks. Such behavior is easily explained using phenomenological nonlinear dispersion theory. In this nonlinear regime, the luminescence from the microcavity shows a gradual transition from the nonperturbative regime of NMC to lasing with increasing excitation. The observed behavior is explained by density-dependent changes in both the transmission of the microcavity and the bare-exciton emission, rather than a boson-condensation of excitons which has been previously proposed. An intermediate-finesse microcavity also modifies the emission distribution from a bulk-semiconductor at room temperature. Angularly resolved emission spectra and quantum efficiency measurements show the PL is strongly dependent on the reflectivity of the microcavity. Unfortunately, the enhancement in the decay rate of excitons due to high-reflectivity mirrors seen previously by our group does not result in an increased quantum efficiency. High-gain optical-wavefront amplification in atomic sodium vapor is demonstrated via both the three-photon effect and stimulated Raman scattering (SRS). In both cases, single-pass weak-field gain of nearly 400 is achieved with only 800 mW of pump power near 589 nm. In the case of SRS, phase preservation of the amplified wavefront, which is necessary in adaptive imaging applications, is also demonstrated.