Collective radiance with NV centers coupled to nonlinear phononic waveguides

Collective radiance is a fundamental phenomenon in quantum optics. However, these radiation effects remain largely unexplored in the field of quantum acoustics. In this work, we investigate the supercorrelated radiation effects in a nonlinear phononic waveguide that is coupled with NV centers. When the spin's frequency is below the scattering continuum but within the bound-state band of the phonon waveguide, a single NV center dissipates slowly, but two NV centers can exhibit a rapid exponential decay. When multiple NV spins are considered, supercorrelated radiance occurs at a rate N times faster than Dicke superradiance. The peak of the state distribution in supercorrelated radiance jumps directly from $|m=N/2\rangle$ to $|m=-N/2\rangle$, distinguished from the continuous shift of the peak in superradiance. This work provides deeper insight into the collective radiation effect and may find interesting applications in quantum information processing.