Acknowledgements

The authors gratefully acknowledge the financial support provided by the Fund for Scientific Research Flanders (FWO), through the FWO project: G042915 N (Superfluidity and superconductivity in multi-component quantum condensates). One of us (N.V.) acknowledges a Ph.D. fellowship of the University of Antwerp (2014BAPDOCPROEX167). One of us (W.V.A.) acknowledges a Ph.D. fellowship from the FWO (1123317 N). We also acknowledge financial support from the Research Fund (BOF-GOA) of the University of Antwerp.

<sup>9</sup> In Figure 7b, the energy difference seems to blow up towards the BCS limit. This divergence is due to the fact that at that point superfluidity is lost due to polarization (Clogston limit); at this point superfluidity disappears.
