  We analyse the emergent cosmological dynamics corresponding to the mean field
hydrodynamics of quantum gravity condensates, in the tensorial group field
theory formalism. We focus in particular on the cosmological effects of
fundamental interactions, and on the contributions from different quantum
geometric modes. The general consequence of such interactions is to produce an
accelerated expansion of the universe, which can happen both at early times,
after the quantum bounce predicted by the model, and at late times. Our main
result is that, while this fails to give a compelling inflationary scenario in
the early universe, it produces naturally a phantom-like dark energy dynamics
at late times, compatible with cosmological observations. By recasting the
emergent cosmological dynamics in terms of an effective equation of state, we
show that it can generically cross the phantom divide, purely out of quantum
gravity effects without the need of any additional phantom matter. Furthermore,
we show that the dynamics avoids any Big Rip singularity, approaching instead a
de Sitter universe asymptotically.
