Manifestations of dynamical localization in the disordered XXZ spin chain

Academic Article

Abstract

  • We study disordered XXZ spin chains in the Ising phase exhibiting droplet localization, a single cluster localization property we previously proved for randomXXZ spin chains. It holds in an energy interval I near the bottom of the spectrum, known as the droplet spectrum. We establish dynamical manifestations of localization in the energy window I, including non-spreading of information, zero-velocity Lieb–Robinson bounds, and general dynamical clustering. Our results do not rely on knowledge of the dynamical characteristics of the model outside the droplet spectrum. A byproduct of our analysis is that for random XXZ spin chains this droplet localization can happen only inside the droplet spectrum.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Elgart A; Klein A; Stolz G
  • Start Page

  • 1083
  • End Page

  • 1113
  • Volume

  • 361
  • Issue

  • 3