We consider quantum condensation in the electron-hole plasma of highly excited semiconductors. A theoretical approach applying the concept of time long-range order in the framework of real time Green's functions is presented and generalizations of the basic equations of quantum condensation are derived. For the quasiequilibrium case, we solve the coupled system of number and gap equations in ladder approximation for a statically screened Coulomb potential. The resulting phase boundary shows a smooth crossover from the Bose-Einstein condensation (BEC) of excitons to a BCS state of electron-hole pairs.
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Kremp et al. (2008) studied this question.
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