  Neutral atoms trapped in microscopic optical tweezers have emerged as a
growing platform for quantum science. Achieving homogeneity over the tweezers
array is an important technical requirement, and our research focuses on
improving it for holographic arrays generated with a Spatial Light Modulator
(SLM). We present a series of optimization methods to calculate better
holograms, fueled by precise measurement schemes. These innovations enable to
achieve intensity homogeneity with a relative standard deviation of 0.3 %,
shape variations below 0.5 %, and positioning errors within 70 nm. Such
ultra-precise holographic optical tweezers arrays allow for the most demanding
applications in quantum science with atomic arrays.
