The properties of interfaces are key to understand the physics of matter. However, the study of quantum interface dynamics has remained an outstanding challenge. Here, we use large-scale Tree Tensor Network simulations to identify the dynamical signature of an interface roughening transition within the ferromagnetic phase of the 2D quantum Ising model. For initial domain wall profiles we find extended prethermal plateaus for smooth interfaces, whereas above the roughening transition the domain wall decays quickly. Our results can be readily explored experimentally in Rydberg atomic systems.

This dataset includes all measurements from the TTN, DMRG, VUMPS and QMC simulation necessary to reproduce the figures presented in the main publication. It also contains the files used for produceing the figures. In addition, we include all Julia files to reproduce the results of the publication, excluding the TTN data. A detailed describition and how to start the simulation is given in the README.md file. The obtained wavefunction's are not part of this dataset, since they exceed the allowed 50Gb. In case of interest, please contact the authors to gain access.