2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/23455We show that the nuclear spin dynamics in the single-molecule magnet Mn12-ac below 1 K is governed by quantum tunneling fluctuations of the cluster spins, combined with intercluster nuclear spin diffusion. We also obtain the first experimental proof that - surprisingly - even deep in the quantum regime the nuclear spins remain in good thermal contact with the lattice phonons. We propose a simple model for how T-independent tunneling fluctuations can relax the nuclear polarization to the lattice, that may serve as a framework for more sophisticated theories.RevTex, 4 pages, 3 eps figures. Final version appeared in PRLMesoscale and Nanoscale PhysicsMaterials Sciencetext