Entanglement Generation in Weakly Driven Arrays of Multilevel Atoms via Dipolar Interactions.

We investigate the driven-dissipative dynamics of multilevel atomic arrays interacting via dipolar interactions at subwavelength spacings. Unlike two-level atoms in the weakly excited regime, multilevel atoms can become strongly entangled. The entanglement manifests as the growth of spin waves in the ground-state manifold and survives after turning off the drive. We propose the 2.9  μm transition between ^{3}P_{2}↔^{3}D_{3} in ^{88}Sr with 389 nm trapping light as a platform to test our predictions and explore many-body physics with light-matter interactions.