title: Dynamical simulation of integrable and nonintegrable models in the Heisenberg picture.
abstract: The numerical simulation of quantum many-body dynamics is typically limited by the linear growth of entanglement with time. Recently numerical studies have shown that for 1D Bethe-integrable models the simulation of local operators in the Heisenberg picture can be efficient. Using the spin-1/2 XX chain as generic example of an integrable model that can be mapped to free fermions, we provide a simple explanation for this. We show furthermore that the same reduction of complexity applies to operators that have a high-temperature autocorrelation function which decays slower than exponential, i.e., with a power law. Thus efficient simulability may already be implied by a single conservation law as we will illustrate numerically for the spin-1 XXZ model.
authors.affiliation: Fachbereich Physik und Forschungszentrum OPTIMAS, Technische Universität Kaiserslautern, Germany.
authors.forename: Dominik
authors.initials: D
authors.lastname: Muth
authors.forename: Razmik G
authors.initials: RG
authors.lastname: Unanyan
authors.forename: Michael
authors.initials: M
authors.lastname: Fleischhauer