Frequency-resolved Purcell effect for the dissipative generation of steady-state entanglement

We report a driven-dissipative mechanism to generate stationary entangled $W$ states among strongly-interacting quantum emitters placed within a cavity. Driving the ensemble into the highest energy state -- whether coherently or incoherently -- enables a subsequent cavity-enhanced decay into an entangled steady state consisting of a single de-excitation shared coherently among all emitters, i.e., a $W$ state, well known for its robustness against qubit loss. The non-harmonic energy structure of the interacting ensemble allows this transition to be resonantly selected by the cavity, while quenching subsequent off-resonant decays. Evidence of this purely dissipative mechanism should be observable in state-of-the-art cavity QED systems in the solid-state, enabling new prospects for the scalable stabilization of quantum states in dissipative quantum platforms.