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Out-of-Time-Order Correlation in Marginal Many-Body Localized Systems by Slagle, Kevin; Bi, Zhen; You, Yi-Zhuang; Xu, Cenke is a scholarly article available to read on EtoBox.

What is Out-of-Time-Order Correlation in Marginal Many-Body Localized Systems about?

We show that the out-of-time-order correlation (OTOC) $ \langle W(t)^\dagger V(0)^\dagger W(t)V(0)\rangle$ 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 $t_\text{scr}$ follows a stretched exponential scaling with the distance $d_{WV}$ between the operators $W$ and $V$: $t_\text{scr}\sim\exp(\sqrt{d_{WV}/l_0})$, which demonstrates Sinai diffusion of quantum information and the enhanced scrambling by the quantum criticality in non-chaotic systems.

Author

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

Published

2016

Language

EN