Atomic Regional Superfluids in two-dimensional Moir\'e Time Crystals

Moir\'e physics has transcended spatial dimensions, extending into synthetic domains and enabling novel quantum phenomena. We propose a theoretical model for a two-dimensional (2D) Moir\'e time crystal formed by ultracold atoms, induced by periodic perturbations applied to a non-lattice trap. Our analysis reveals the emergence of regional superfluid states exhibiting moir\'e-scale quantum coherence across temporal, spatial, and spatiotemporal domains. This work provides fundamental insights into temporal moir\'e phenomena and presents an alternative pathway to engineer spatial moir\'e phases without requiring twisted multilayer lattices.