  We explore the dynamics and the steady state of a driven quantum spin coupled
to a bath of fermions, which can be realized with a strongly imbalanced mixture
of ultracold atoms using currently available experimental tools.
Radio-frequency driving can be used to induce tunneling between the spin
states. The Rabi oscillations are modified due to the coupling of the quantum
spin to the environment, which causes frequency renormalization and damping.
The spin-bath coupling can be widely tuned by adjusting the scattering length
through a Feshbach resonance. When the scattering potential creates a bound
state, by tuning the driving frequency it is possible to populate either the
ground state, in which the bound state is filled, or a metastable state in
which the bound state is empty. In the latter case, we predict an emergent
inversion of the steady-state magnetization. Our work shows that different
regimes of dissipative dynamics can be explored with a quantum spin coupled to
a bath of ultracold fermions.
