<p>All data for the preprint "Observation of many-body dynamical localization" </p>\n<p>The Innsbruck team acknowledges funding by a Wittgenstein prize grant under Austrian Science Fund (FWF) project number Z336-N36, by the European Research Council (ERC) under project number 789017, by an FFG infrastructure grant with project number FO999896041, and by the FWF's COE 1 and quantA . MH thanks the doctoral school ALM for hospitality, with funding from the FWF under the project number W1259-N27.<br>The team at Zhejiang University is supported by the National Natural Science Foundation of China (Grant No. 12375021) and the National Key R\\&D Program of China (Grant No. 2022YFA1404203).<br>HY is also supported by the Swiss National Science Foundation under grant number 200020-188687.</p>