  A mechanism of the condensation of e-h pairs in bulk GaAs at room
temperature, which has been observed earlier, is proposed. The point is that
the photon assisted pairing happens in a system of electrons and holes that
occupy energy levels at the very bottoms of the bands. Due to a very high e-h
density, the destruction of the pairs and loss of coherency does not occur
because almost all energy levels inside a 30-60 meV band from the bottom of the
conduction band prove to be occupied. As a result, a coherent ensemble of
composite bosons (paired electrons and holes) with the minimum possible energy
appears. The lifetime of this strongly non-equilibrium coherent e-h BCS-like
state is as short as a few hundred of femtoseconds
