Out-of-time-order correlation for many-body localization
Out-of-time-order correlation for many-body localization
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DOI：
10.1016/j.scib.2017.04.011
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发表时间：
2017-01-01
期刊：
影响因子：
18.9
通讯作者：
Zhai, Hui
中科院分区：
文献类型：
--
作者：
Fan, Ruihua;Zhang, Pengfei;Zhai, Hui
本文首先计算了唯象模型和随机场XXZ模型在多体定域相中的失时序子。我们发现，在一个多体定域系统中，OTOC在扰频时间按幂律减小。我们还发现，OTOC也可以用来区分多体局域相位的安德森局域相位，而正常的相关不能。此外，我们证明了一个确切的定理，涉及到第二雷尼熵的增长在淬火动力学的衰减的OTOC平衡。这个定理适用于一般的量子系统。我们讨论这个定理的各种含义。(C)中国科学出版社.爱思唯尔公司、科学中国出版社出版。
In this paper we first compute the out-of-time-order correlators (OTOC) for both a phenomenological model and a random-field XXZ model in the many-body localized phase. We show that the OTOC decreases in power law in a many-body localized system at the scrambling time. We also find that the OTOC can also be used to distinguish a many-body localized phase from an Anderson localized phase, while a normal correlator cannot. Furthermore, we prove an exact theorem that relates the growth of the second Renyi entropy in the quench dynamics to the decay of the OTOC in equilibrium. This theorem works for a generic quantum system. We discuss various implications of this theorem. (C) 2017 Science China Press. Published by Elsevier B.V. and Science China Press.