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

被引：19

作者：

Zhao, Wen-Lei ^{[1
]}

Hu, Yue ^{[2
,3
]}

Li, Zhi ^{[2
,3
]}

Wang, Qian ^{[4
]}

机构：

[1] Jiangxi Univ Sci & Technol, Sch Sci, Ganzhou 341000, Peoples R China

[2] South China Normal Univ, Frontier Res Inst Phys, GPETR Ctr Quantum Precis Measurement, Guangdong Prov Key Lab Quantum Engn & Quantum Mat, Guangzhou 510006, Peoples R China

[3] South China Normal Univ, SPTE, Guangzhou 510006, Peoples R China

[4] Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Zhejiang, Peoples R China

来源：

PHYSICAL REVIEW B | 2021年 / 103卷 / 18期

关键词：

FESHBACH RESONANCES;

D O I：

10.1103/PhysRevB.103.184311

中图分类号：

T [工业技术];

学科分类号：

08 ;

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 Schrodinger 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.

引用

页数：9