Sensing applications of impurities embedded in a two-dimensional array of quantum emitters

The collective modes of a two-dimensional array of dipole-dipole coupled quantum emitters can mediate interactions between distant impurities embedded in the array. In the case of two impurities this results in highly efficient excitation transfer between impurities. We show that the efficiency of this population transfer is very sensitive on the relative detuning between the impurities' transition frequencies. We highlight applications of this effect for cooperatively enhanced quantum sensing and analyze how the overall sensitivity depends on fundamental system parameters. We also elaborate on how the enhanced sensing can be associated with the appearance of exceptional points in the spectrum of the non-Hermitian Hamiltonian governing the system's dynamics.