Dynamical instability of the dark state in the conversion of Bose–Fermi mixtures into stable molecules

In this paper, we investigate the dynamical instability of the dark state in the conversion of Bose—Fermi mixtures into stable molecules through a stimulated Raman adiabatic passage aided by Feshbach resonance. We analytically obtain the regions where the dynamical instability appears and find that such instability in the Bose—Fermi mixture system is caused not only by bosonic interparticle interactions but also by Pauli blocking terms, which is different from the scenario of a pure bosonic system where instability is induced by nonlinear interparticle collisions. Taking a ⁴⁰K—⁸⁷Rb mixture as an example, we give the unstable regions numerically.