Out-of-time-order correlation in marginal many-body localized systems

Kevin Slagle, Zhen Bi, Yi Zhuang You, Cenke Xu

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


We show that the out-of-time-order correlation (OTOC) (W(t)†V(0)†W(t)V(0)) in many-body localized (MBL) and marginal MBL systems can be efficiently calculated by the spectrum bifurcation renormalization group (SBRG). We find that in marginal MBL systems, the scrambling time tscr follows a stretched exponential scaling with the distance dWV between the operators W and V: tscr∼exp(dWV/l0), which demonstrates Sinai diffusion of quantum information and the enhanced scrambling by the quantum criticality in nonchaotic systems.

Original languageEnglish (US)
Article number165136
JournalPhysical Review B
Issue number16
StatePublished - Apr 24 2017

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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