  Cold and hot dark matter (CDM, HDM) imprint distinctive effects on the
cosmological observables, naturally, they are often thought to be made of
different kinds of particles. However, we point out that CDM and HDM could
share a common origin, a Bose-Einstein condensate emerging with two components.
In this framework, the mass and temperature constraints on HDM contain
fundamental information of CDM, but also, the critical temperature of
condensation shall be larger than the HDM temperature. We discuss two
scenarios: a gas made of bosons and a gas made of boson-antiboson pairs. We use
some cosmological data surveys to test the idea and constrain the bosonic DM
parameters, including a forecast for the Planck mission. We find that the
bosonic DM picture is consistent with data in the first scenario, although, the
second one might be increasingly interesting for future data surveys.
