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We demonstrate single-atom trapping in two-dimensional arrays of microtrapswith arbitrary geometries. We generate the arrays using a Spatial LightModulator (SLM), with which we imprint an appropriate phase pattern on anoptical dipole trap beam prior to focusing. We trap single $^{87}{\rm Rb}$atoms in the sites of arrays containing up to $\sim100$ microtraps separated bydistances as small as $3\;\mu$m, with complex structures such as triangular,honeycomb or kagome lattices. Using a closed-loop optimization of theuniformity of the trap depths ensures that all trapping sites are equivalent.This versatile system opens appealing applications in quantum informationprocessing and quantum simulation, e.g. for simulating frustrated quantummagnetism using Rydberg atoms.

Single-atom trapping in holographic 2D arrays of microtraps with arbitrary geometries