Position swapping and pinching in Bose-Fermi mixtures with two-color optical Feshbach resonances

We examine the density profiles of the quantum degenerate Bose-Fermi mixture of ${}^{174}$Yb-${}^{173}$Yb, experimental observed recently, in the mean field regime. In this mixture there is a possibility of tuning the Bose-Bose and Bose-Fermi interactions simultaneously using two well separated optical Feshbach resonances, and it is a good candidate to explore phase separation in Bose-Fermi mixtures. Depending on the Bose-Bose scattering length $a_{\text{BB}}$, as the Bose-Fermi interaction is tuned the density of the fermions is pinched or swapping with bosons occurs.