Next H2 will do 2H monoatomic, when they will leave the surface.. but quickly they will become H2.
Rydberg atom is unstable only clusters from its will become stable.
What could be tools to help this kind of process ?
In the process described by Holmlid, alkali atoms help this process. They form Rydberg matter clusters more easily and can interact with the hydrogen atoms on the surface. Once H atoms attach to the alkali Rydberg matter formed, becoming themselves Rydberg matter, they remain separated and do not recombine to H2.
See Fig.3 in https://doi.org/10.1016/j.ijhydene.2021.02.221 and associated text.