“…Meanwhile, atoms trapped in a periodic subwavelength planar optical lattice have been shown in experiments to exhibit collective, spatially delocalized subradiant optical excitations [12], and related experiments on collective excitations have also been performed in other periodic structures [13,14]. Cooperatively responding optical systems of subwavelength atomic arrays have inspired a large body of theoretical studies, with examples including manipulation of subradiance [15][16][17][18], single-photon storage [19][20][21], atom and excitation statistics [22,23], optical cavity-like phenomena [24][25][26], collective antibunching [27][28][29], connected arrays [30], optomechanics [31], and parity-time symmetry breaking [32]. In particular, it was recently shown how a bilayer array of atoms could form a Huygens' surface via emerging collective excitations that mimic an array of crossed electric and magnetic dipoles, even when the atoms only undergo electric dipole transitions [33,34].…”