Superradiant phonon laser with collective spin control

Hybrid systems consisting of phonon resonators and solid-state spin ensembles offer a unique opportunity for the study of emerging driven-dissipative quantum many-body physics. Our theoretical analysis shows that in such a phonon-matter hybrid system, the interplay of coherent and dissipative processes has led to the generation of phonon superradiation, accompanied by the accumulation of strong correlations in the hybrid system. The central feature of the phonon field is an extremely narrow linewidth due to collective effects and can be tuned over a wide range with microwave pumping. We demonstrate a quantum sensing protocol that can take advantage of this device to achieve pT sensitivity to typical magnetic field sensing. This mechanism offers interesting possibilities for generating and controlling complex phonon fields, such as applications for super-coherent phonon lasers and highly sensitive phonon sensors.