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Physical Review A

Optical bistability of semiconductor microcavities in the strong-coupling regime

Alessandro Tredicucci, Yong Chen, Vittorio Pellegrini, Marco Börger, F. Bassani

Published Oct 1, 1996• 94 citations
Publisher

Abstract

We propose a mechanism for achieving optical bistability in semiconductor heterostructures. In contrast to the well-known refractive shift of the Fabry-Perot mode in macroscopic resonators, we consider the bleaching of the exciton Rabi splitting in strong-coupling microcavities and prove that this nonlinear process leads to an optically bistable behavior. Through a model based on the transfer-matrix formalism, we predict the dependence of this effect on specific material parameters and on the nature of the cavity. Numerical calculations are carried out for quantum well embedded cavities and the possibility of room-temperature bistable operation is also discussed. \textcopyright{} 1996 The American Physical Society.

DOI
10.1103/physreva.54.3493

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We propose a mechanism for achieving optical bistability in semiconductor heterostructures. In contrast to the well-known refractive shift of the Fabry-Perot mode in macroscopic resonators, we consider the bleaching of the exciton Rabi splitting in strong-coupling microcavities and prove that this nonlinear process leads to an optically bistable behavior. Through a model based on the transfer-matrix formalism, we predict the dependence of this effect on specific material parameters and on the nature of the cavity. Numerical calculations are carried out for quantum well embedded cavities and the possibility of room-temperature bistable operation is also discussed. \textcopyright{} 1996 The American Physical Society.
We report an experimental study of the optical bistability in a semiconductor microcavity (MC), consisting of a wedged λ GaAs spacer containing a single 8.5 nm In 0.04 Ga 0.96 As quantum well (QW). Increasing the excitation power, a transition between the normal coupling and the weak coupling regime of the MC modes is observed. At intermediate excitation power the reflectivity spectrum shows the simultaneous presence of three resonances, with a third peak spectrally lying between the two normal modes. Monitoring the reflected signal for different laser energy as a function of the excitation power, we found that optical bistability is observed only at the energy of the third peak. The experimental findings do not agree with transfer matrix calculations based on exciton bleaching, suggesting that more complex nonlinear mechanisms are relevant in the observed bistable behaviour.
We show experimentally optical bistability and the existence of bright and dark resonator solitons in the strong coupling regime between quantum-well excitons and the optical field in a semiconductor microcavity. The strong coupling results in a quasi-particle exciton-polariton, which gives access to positive and negative reactive and dissipative optical nonlinearities, as opposed to the usual room temperature semiconductor nonlinearities possessing essentially only one sign. The existence range and the properties of solitons can be varied widely by the detuning between polariton states and light frequency.
The threshold of triply resonant optical parametric oscillation in a semiconductor microcavity in the strong coupling regime is investigated. Because of the third-order nature of the excitonic nonlinearity, a variety of different behaviors is observed thanks to the interplay of parametric oscillation and optical bistability effects. The behavior of the signal amplitude and of the quantum fluctuations in approaching the threshold has been characterized as a function of the pump, signal, and idler frequencies.
Based on Fabry-Perot cavity's theories and efficiency refractive index,the optical bistability of a nonlinear microcavity is studied,and the corresponding mathematical formula are deduced.The theoretical curves are well fitted with those of numerical simulation in other papers.The investigation shows that appropriate frequency-shifting should be preset on the incident light in order to produce bistability for a nonlinear system.If the system is composed of focusing nonlinear medium,the frequency must be redshifted, otherwise it must be blue-shifted.The magnitude of critical shifting is 0.866 times of the width of microcavity resonance mode.
Optical bistability in a semiconductor microcavity showing normal mode coupling regime is observed by means of reflectivity and resonant Rayleigh scattering experiments. A third resonance, spectrally lying between the two normal modes, suddenly appears in the optical response when increasing the excitation power. Hysteresis loops are found when monitoring the microcavity optical response at the energy of the third peak. Our experimental findings can not be accounted for simply by exciton bleaching. We conclude that other non-linear mechanisms are relevant in explaining the presence of the third peak and the observed bistable behaviour. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
Semiconductor quantum microcavities are interesting physical systems in which fundamental interactions between light and excitons can be explored. For example, in the weak - coupling limit, modified excitonic spontaneous emission can be observed. In the strong-coupling limit, the cavity field modes and the quantum well exciton modes become coupled; the normal modes of the system are "cavity-polaritons" [1,2]. For in-plane wavevectors k// near zero, the normal modes are split by the dipole coupling between the excitons and the cavity vacuum field. This splitting is often referred to as a vacuum-Rabi splitting (VRS), as it has the same physical origin as the VRS observed in the interactions of atoms with single-mode cavities. The physical system in this work consists of a λ planar microcavity formed by two distributed-Bragg reflectors, with five GaAs quantum wells situated in the center of the cavity. In all the experiments described here, the exciton and cavity modes are on resonance (the low-field VRS is 6 meV for this sample).