The condition for a stimulated formation of a coherent Bose- condensate of the Bose-particles is studied. The recently published experimental observation of the Bose-condensate interference, and the idea of an 'atom laser' generating the coherent atomic states are discussed. The Gross-Pitaevsky equations are generalized, where the interaction of Bose- condensate with incoherent subsystems of the particles is taken into account.
Anatoly N. Oraevsky,
"Bose condensate and the coherent states of bosons", Proc. SPIE 3239, Photon Echo and Coherent Spectroscopy, (26 September 1997); doi: 10.1117/12.287678; https://doi.org/10.1117/12.287678