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

Abstract

We examine the density profiles of the quantum degenerate Bose-Fermi mixture of $^{174}\mathrm{Yb}$-$^{173}\mathrm{Yb}$, experimentally 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 ${a}_{\mathrm{BB}}$, as the Bose-Fermi interaction is tuned the density of the fermions is pinched or swapping with bosons occurs.