  We define generalised Gaussian states for quantum cosmological models based
on the $\mathfrak{su(1,1)}$ algebra, with particular emphasis on its
realisation in group field theory for a single field mode, and study their
semiclassical properties. These states are generalisations of coherent,
squeezed and thermal states considered previously. As two possible
characterisations of semiclassicality, we contrast the requirement of small
relative fluctuations in volume and energy with the saturation of the
Robertson--Schr\"odinger uncertainty principle. We find that for the most
general class of states the appearance of small relative fluctuations, which we
take as the main criterion relevant for the emergence of cosmology, is mostly
determined by the amount of displacement used to define the state. We also
observe that defining such generalised Gaussian states is less straightforward
in the algebraic approach to canonical quantisation of group field theory, and
discuss special cases.
