Out-of-time-order correlation for many-body localization  

作　　者：Ruihua Fan Pengfei Zhang Huitao Shen Hui Zhai 

机构地区：[1]lnstitute for Advanced Study, Tsinghua University, Beijing 100084, China [2]Department of Physics, Peking University, Beijing 100871, China [3]Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA [4]Collaborative Innovation Center of Quantum Matter, Beijing 100084, China

出　　处：《Science Bulletin》2017年第10期707-711,共5页科学通报（英文版）

基　　金：supported by the National Key Research and Development Plan (2016YFA0301600);the National Natural Science Foundation of China (11325418);Tsinghua University Initiative Scientific Research Program

摘　　要：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.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 Rényi 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.

关 键 词：Out-of-time-order correlationMany-body localizationR6nyi entropy 

分 类 号：O41[理学—理论物理]