Abstract
This paper identifies a new dynamical phase at intermediate quasiperiodic potential. This phase, denoted as S phase, is characterized by power-law like information spreading and large fluctuations in the eigenstate entanglement, distinct from the thermal, localized, phase at weak and strong potentials and shown to be potentially responsible for the slow dynamics observed in cold-atom experiments.
Highlights
Much recent experimental and theoretical effort has been devoted to studying the conditions under which an isolated quantum system comes to effective thermal equilibrium
We emphasize that the S phase we report here is naively different from the intermediate phase observed in certain generalized AA (GAA) models [18,19,20,65] or in systems with quenched disorder [27,28,29]
To investigate the puzzling slow dynamics seen before localization, we study interaction effects in the AA model using scrambling as a diagnostic in a system with L = 200 sites
Summary
Effect in interacting Aubry-Andre model: Thermalization, slow scrambling, and many-body localization. At intermediate quasiperiodic potential strength, a surprising Griffiths-like regime with slow dynamics appears in the absence of random disorder and mobility edges. In this Rapid Communication, we study the interacting Aubry-Andre model, a prototype quasiperiodic system, as a function of incommensurate potential strength using a dynamical measure, information scrambling, in a large system of 200 lattice sites. Between the thermal phase and the many-body localized phase, we find an intermediate dynamical phase where the butterfly velocity is zero and information spreads in space as a power law in time. Our large-scale simulations suggest that the intermediate phase with a vanishing butterfly velocity could be responsible for the slow dynamics seen in recent experiments
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