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非绝热过程中的无无序动态局域化:纠缠熵与OTOC

Disorder-free dynamic localization in non-adiabatic processes: entanglement entropy and OTOC.

作者信息

Mo Yijie, Huang Jiaqing, Yao Yao

机构信息

Department of Physics and State Key Laboratory of Luminescent Materials and Devices, South China University of Technology, Guangzhou 510640, People's Republic of China.

出版信息

J Phys Condens Matter. 2020 May 12;32(32). doi: 10.1088/1361-648X/ab85f1.

DOI:10.1088/1361-648X/ab85f1
PMID:32240987
Abstract

We investigate the localization in a one-dimensional modified Peierls model with a non-adiabatic dynamic method. Different from the polaron scenario, here the localization stems from extensive conserved local quantities in the disorder-free lattice. Both the entanglement entropy and out-of-time-ordered correlator (OTOC) show the oscillating feature of dynamically generated localization. Although the strong interaction between electrons may suppress the dynamical features of the localization, but the effect of many-body localization is not observed. The role of disorder presented at finite temperature is discussed as well. The electrons diffuse in a classical manner. Benefitting from the indication of OTOC, it is found that the Anderson localization becomes dominant instead of dynamic localization as observed in disorder-free lattices.

摘要

我们用一种非绝热动力学方法研究一维修正的派尔斯模型中的局域化。与极化子情形不同,这里的局域化源于无无序晶格中广泛的守恒局域量。纠缠熵和时间反演关联函数(OTOC)都显示出动态产生的局域化的振荡特征。尽管电子之间的强相互作用可能会抑制局域化的动力学特征,但未观察到多体局域化效应。还讨论了有限温度下无序的作用。电子以经典方式扩散。受益于OTOC的指示,发现与在无无序晶格中观察到的情况不同,安德森局域化变得占主导地位而非动态局域化。

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