Aperiodic crystals are the intermediates between strictly periodic crystalline matter and amorphous solids. The lack of translational symmetry combined with intrinsic long-range order endows aperiodic crystals with unique physical characteristics, while, at the same time, markedly enriching the spectrum and localization properties. Here, we demonstrate exciton-polariton condensation in a two-dimensional Penrose tiling with C 10 rotational symmetry—the evidence of quasicrystalline order in a quantum fluid of light. We identify a regime, wherein near-perfect delocalization and synchronization of a quantum fluid of light occurs at mesoscopic length scales extending beyond 100× the healing length and the size of each individual condensate. Realizing long-range order in fully reconfigurable quasicrystals of nonlinear and open-dissipative quantum fluids in the presence of artificial defects provides insights into phase synchronization between the condensates in unconventional, aperiodic settings.
Alyatkin et al. (Wed,) studied this question.