Abstract
In the present work, we discuss all possible condensation states of the exciton-polariton system in a microcavity. The matter-light system in the microcavity is described in a two-dimensional many-particle interacting model. In the thermal equilibrium limit, a set of self-consistent equations determining the condensate order parameters is derived by adapting the unrestricted Hartree-Fock approximation. Analyzing the condensate order parameters and momentum distributions of the exciton and photon densities, a detail phase structure of the exciton-polariton system has been released. At zero temperature, above a critical density, depending on the Coulomb interaction, one finds all possible condensate phases of the exciton-polariton systems including excitonic-BEC, excitonic-BCS, polaritonic-BEC, polaritonic-BCS, and photonic BEC states. A whole regime of the condensation states is decreased if increasing the detuning parameter. The complex BCS-BEC crossovers of the condensation states are also addressed in the influence of thermal fluctuations and excitation deturning.
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