Generation of bottle beam array by spatial light modulator for atom-based quantum computing

We generate two-dimensional bottle beam arrays for laser trapping of atoms in the ground and Rydberg states. A dipole-trap laser beam is diffracted by a phase spatial light modulator imprinted with a phase hologram to generate two dimensional arrays of bottle beam of arbitrary geometries. We found that the phase hologram calculated by the Gerchberg-Saxton algorithm, typically used in cold atom community, may cause a certain fraction of defects in the generated bottle beams, depending on the phase range of the initial guess and the array geometry. We have developed a modified optimal beam splitting algorithm to calculate the phase hologram and no defects are found in all calculated array geometries. We demonstrate the generation of bottle beam arrays of various geometries, which may open appealing applications in quantum information processing and simulation based on Rydberg atoms.