Evolution of multilayer optical lattices based on linearly chirped circular Airyprime vortex beams

With the increasing demand for diverse optical lattices, an open question arises: can optical lattices be designed that exhibit stronger self-focusing capabilities while offering richer structural diversity? To address this issue, multilayer optical lattices are constructed by using circular Airyprime vortex beams in the present study. By introducing fractional topological charges, the evolutionary growth of petals in petal-shaped lattices is realized. Expanding upon the conventional single-layer configuration, multilayer optical lattices are generated by superimposing multiple circular Airyprime vortex beams. The number of petals in the optical lattice can be precisely tailored by setting the topological charge difference between individual beams. Furthermore, by adjusting the initial radius and the scale factor, the resulting multilayer optical lattices exhibit more intricate morphology and greater structural diversity. Adjustment of the initial radius enables precise intensity modulation and morphological control of the optical lattice, while tuning the scale factor drives a distinct structural evolution from a hexagonal bud-like pattern to a petal-blooming configuration. The inclusion of linearly chirped factors provides additional control, enabling layered rotational modulation of the optical lattice at the initial plane. Such multilayer optical lattices hold promise for realizing spatial entanglement in high-dimensional quantum states via fractional topological charges. Moreover, the coexistence of primary petal lattices and inter-petal micro-lattice chains establishes multi-scale periodic optical potential wells, offering broad application potential in quantum simulation platforms and the implementation of parallel quantum logic gates.