Papers › Out-of-Time-Order Correlation in Marginal Many-Body Localized Systems
Out-of-Time-Order Correlation in Marginal Many-Body Localized Systems
Kevin Slagle, Zhen Bi, Yi-Zhuang You, Cenke Xu
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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 t_(scr) follows a stretched exponential scaling with the distance d_(WV) between the operators W and V: t_(scr)∼exp(√(d_(WV)/l₀)), which demonstrates Sinai diffusion of quantum information and the enhanced scrambling by the quantum criticality in non-chaotic systems.
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