Abstract
The interaction of an exciton and cavity modes is considered in planar meso-cavities, which have lateral sizes corresponding to few wavelengths. In meso-cavities, the frequency interval between the optical modes is comparable or smaller than the value of the Rabi splitting between the exciton and the optical modes. The Hamiltonian of the interaction between the exciton and the cavity modes is constructed, and it is shown that such an interaction between the cavity modes and the exciton can occur both in weak and in strong coupling regimes. The latter case can be accompanied by a pronounced splitting of the emission peaks as shown for modelled meso-cavities of triangular, square and hexagonal shapes, where it is demonstrated that Q-factors for the adjacent cavity modes as well as the strength of interaction with excitons can differ by few orders of magnitude.
Highlights
The study of semiconductor microcavities began with the pioneering work of Weisbuch et al, in 1992 [1], where splitting was observed in the absorption and reflection spectra of excitons in the quantum wells placed in the centre of a resonant epitaxially grown planar microcavity
Only one or two cavity modes will interact with the exciton and the Rabi splitting will be smaller than the separation between the cavity modes, which makes it possible to observe the strong coupling regime
We demonstrate the theory of coupling between an exciton and several optical modes for ideal square, hexagonal, triangular and round mesa-cavities
Summary
The study of semiconductor microcavities began with the pioneering work of Weisbuch et al, in 1992 [1], where splitting was observed in the absorption and reflection spectra of excitons in the quantum wells placed in the centre of a resonant epitaxially grown planar microcavity. It is essential that the characteristic size of the cavity corresponds to a fraction of the wavelength in order to ensure a large energy interval between the cavity modes In such situation, only one or two cavity modes will interact with the exciton and the Rabi splitting will be smaller than the separation between the cavity modes, which makes it possible to observe the strong coupling regime. It is crucial to study larger resonators, the so-called meso-cavities, with a characteristic size corresponding to dozens of wavelengths
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