Soriani, ArturNazé, PierreBonança, Marcus V. S.Gardas, BartłomiejDeffner, Sebastian2022-09-132022-09-132022-04-14Soriani, Artur et al. "Three phases of quantum annealing: Fast, slow, and very slow." Phys. Rev. A 105, 042423 (14 April 2022). https://doi.org/10.1103/PhysRevA.105.042423https://doi.org/10.1103/PhysRevA.105.042423http://hdl.handle.net/11603/25658Currently, existing quantum annealers have proven themselves as viable technology for the first practical applications in the noisy-intermediate-scale-quantum era. However, to fully exploit their capabilities, a comprehensive characterization of their finite-time excitations is instrumental. To this end, we develop a phase diagram for driven Ising chains, from which the scaling behavior of the excess work can be read off as a function of process duration and system size. “Fast” processes are well described by the Kibble-Zurek mechanism; “slow” process are governed by effective Landau-Zener dynamics; and “very slow” processes can be approximated with adiabatic perturbation theory.12 pagesen-USMay be used only for educational or research purposes.Text