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Super-exponential growth of out-of-time-ordered correlators

作     者:Wen-Lei Zhao Yue Hu Zhi Li Qian Wang 

作者机构:School of Science Jiangxi University of Science and Technology Ganzhou 341000 China Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials GPETR Center for Quantum Precision Measurement Frontier Research Institute for Physics and SPTE South China Normal University Guangzhou 510006 China Department of Physics Zhejiang Normal University Jinhua 321004 China 

出 版 物:《Physical Review B》 (Phys. Rev. B)

年 卷 期:2021年第103卷第18期

页      面:184311-184311页

核心收录:

基  金:KPST of Guangzhou, (201804020055) PCSIRT, (IRT1243) National Natural Science Foundation of China, NSFC, (11704132, 12065009) National Natural Science Foundation of China, NSFC Natural Science Foundation of Guangdong Province, (2018A0303130066, 2018A030313322) Natural Science Foundation of Guangdong Province Guangzhou Science and Technology Program key projects, (2019050001) Guangzhou Science and Technology Program key projects 

主  题:Kerr effect Nonequilibrium statistical mechanics Quantum chaos 

摘      要:Out-of-time-ordered correlators (OTOCs) are an effective tool in characterizing black hole chaos, many-body thermalization, and quantum dynamics instability. Previous research findings have shown that the OTOCs exponential growth (EG) marks the limit for quantum systems. However, we report in this paper a periodically-modulated nonlinear Schrödinger system, in which we interestingly find a way of OTOCs growth: super-EG. We show that the quantum OTOCs, which stems from the quantum chaotic dynamics, will increase in a super-exponential way. We also find that in the classical limit, the hyper-chaos revealed by a linearly-increasing Lyapunov exponent actually triggers the super-EG of classical OTOCs. The results in this paper break the restraints of EG as the limit for quantum systems, which give us insight into the nature of quantum chaos in various fields of physics from black hole to many-body system.

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