  We demonstrate complete quantum state transfer of an atomic Bose-Einstein
condensate to molecular condensate, mediated by solitonic excitations in a
cigar shaped mean-field geometry. Starting with a localized solitonic atomic
condensate, we show compatible gray solitonic configuration in the molecular
condensate, which results in complete atom-molecule conversion. The effect of
inter and intra-species interactions on the formation of molecular condensate
is explicated in the presence of Raman Photoassociation. It is found that
photoassociation plays a crucial role in the coherent atom-molecule conversion
as well as in the soliton dynamics. The gray soliton dispersion reveals
bistable behaviour, showing a re-entrant phase in a physically accessible
parametric domain.
