Superluminal correlations in ensembles of optical phase singularities

Superluminal correlations in ensembles of optical phase singularities

Phase singularities—points carrying quantized topological charge—are universal features found across diverse wave systems from superfluids and superconductors to acoustic and optical fields1–4. Ensembles of these singularities exhibit distance correlations resembling particles in liquids5–8, extensively studied for their role in exotic material phases9–11. By contrast, the full correlations in phase space that govern the system evolution have re…