Dark Energy Interacting with Dark Matter in Classical Einstein and Loop Quantum Cosmology

The cosmological model of dark energy interacting with cold dark matter without coupling to the baryonic matter, is studied in the background of both classical Einstein and loop quantum cosmology. We consider two types of interacting models. In the former model, the interaction is a linear combination of the densities of two dark sectors, while in the latter model, the interaction with a constant transfer rate depends only on the density of cold dark matter. It is shown that the dynamical results in loop quantum cosmology are different from those in classical Einstein cosmology for both two kinds of interacting models. Moreover, the form of the interaction affects significantly the dynamical results in both kinds of cosmology.