Entanglement generation in weakly-driven arrays of multilevel atoms via dipolar interactions

We investigate the driven-dissipative dynamics of 1D and 2D arrays of multilevel atoms interacting via dipole-dipole interactions and trapped at subwavelength scales. Here we show that in the weakly driven low excitation regime, multilevel atoms, in contrast to two-level atoms, can become strongly entangled. The entanglement manifests as the growth of collective spin-waves in the ground state manifold, and survives even after turning off the drive.