  The maximum entropy steady states which form upon Floquet heating of the
ground state of the Hubbard model on unbalanced bi-partite lattices are shown
to possess uniform finite off-diagonal long-range order in the thermodynamic
limit. For repulsive interactions the induced order corresponds to the
formation of a spin-wave condensate, whilst for attractive interactions it
instead corresponds to the formation of a superconducting, $\eta$-paired
condensate. This creation of a `hot' condensate can occur on any periodically
driven unbalanced lattice where the relevant SU(2) symmetry is preserved. Our
results provide an understanding of how strong driving can expose order which
has been suppressed by the lattice geometry - independent of any microscopic
parameters. We discuss the implications of this for recent experiments
observing emergent superconductivity in solid-state photoexcited compounds.
