Slow propagation of information on the random XXZ quantum spin chain

Abstract

The random XXZ quantum spin chain manifests localization (in the form of quasi-locality) in any fixed energy interval, as previously proved by the authors. In this article it is shown that this property implies slow propagation of information, one of the putative signatures of many-body localization, in the same energy interval.

23 pages, no figures

References in corpus (4)

• Many body localization and thermalization in quantum statistical mechanics
• Avalanches and many-body resonances in many-body localized systems
• Ergodicity Breaking Transition in Finite Disordered Spin Chains
• Challenges to observation of many-body localization

Cited by in corpus (5)

• Thermalization propagation front and robustness against avalanches in localized systems
• The dynamical $\alpha$-Rényi entropies of local Hamiltonians grow at most linearly in time
• Logarithmic light cone, slow entanglement growth, and quantum memory
• Localization in the random XXZ quantum spin chain
• Operator delocalization in disordered spin chains via exact MPO marginals