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In a recent Letter [Dabelow and Reimann, Phys. Rev. Lett. 124, 120602(2020)], a perturbative relaxation theory is applied to the Bose-Hubbard modeland compared to data from a quantum simulator experiment [Trotzky et al. NaturePhys 8, 325 (2012)]. In this Comment, I argue that the discrepancy found is dueto the quasi-local observable measured in the experiment being affected by aharmonic trapping potential that is unaccounted for in the analyticcalculation. I support my claim with quasi-exact numerics computed using aparallel time-evolving block decimation algorithm (TEBD), and show that therelaxation theory gives accurate results in the correct limit when compared toan appropriate local observable. Finally, I note that my numerics disagree withthe t-DMRG calculations of Trotzky et al. but give better qualitative agreementwith their experimental results.

Comment on "Relaxation theory for perturbed many-body quantum systems versus numerics and experiment"