A study of quantum box transitions coupled to three-dimensionally confined
photonic modes in pillar microcavities is presented, focusing on the condit
ions for achieving a vacuum-field Rabi splitting. For a single InAs quantum
box the oscillator strength is a factor of ten too small for being in stro
ng coupling. A calculation of exciton states localized to monolayer fluctua
tions in quantum wells leads tu much larger values of the oscillator streng
ths. Single localized excitons embedded in state-of-the-art micropillars ca
n be in strong-coupling regime with a vacuum-field Rabi splitting. [S0163-1
829(99)00143-5].