Construction of two-dimensional arbitrary shape <sup>87</sup>Rb atomic array based on spatial light modulator

The ultra-cold atomic system is a clean and highly controllable quantum system, which can be used for simulation of important physical problems in many fields such as condensed matter physics, high-energy astrophysics, chemical reactions. constructions optical lattices with different configurations are an prerequisite simulating diverse complex systems, especially solid materials. In this work, we use weighted Gerchberg-Saxton algorithm to generate holograms. By using liquid crystal spatial light modulator high-resolution imaging holograms (in momentum space) transformed into images real space constructing various two-dimensional (2D) trap arrays, simple triangular, hexagonal, square lattice more honeycomb lattice. We load <sup>87</sup>Rb atoms the 2D arrays minimal spacing 3 μm between. This method versatile flexible, helpful expanding application scope lattices.