Abstract

We consider coherent 2D excitons strongly coupled to 2D microcavity photons and forming exciton-polaritons. The polariton spectrum has two (low and upper) energy levels, which are split (Rabi spitting) and shifted compared to the energy levels of both cavity photons and excitons. Because of the strong excitonic nonlinearity, originating from the Coulumb interaction between excitons, a variety of interesting effects like optical bistability, modulational instability and parametric oscillations exist and were studied [1]. Recent prediction of dark polariton-solitons [2] and the experimental observation of moving quasi-localized polaritons [3] call for detailed theoretical and experimental investigations of the spatial localization of intracavity exciton-polaritons. The aim of this contribution is the theoretical analysis of 2D-localized states, or 2D polariton-solitons (PSs) in a semiconductor microcavity, operating in the strong coupling regime. The mean-field model for coherent excitons (ψ) strongly coupled to the cavity photons (E) reads as [1-3]

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