论文标题
超额指数的超时订购相关器
Super-exponential scrambling of Out-of-time-ordered correlators
论文作者
论文摘要
超级订购的相关器（OTOC）是表征黑洞混乱，多体热和量子动力学不稳定性的有效工具。先前的研究发现表明，OTOC的指数增长（例如）标志着量子系统的极限。但是，我们在这封信中报告了一个定期调制的非线性schrödinger系统，在其中有趣的是，我们找到了一种新颖的信息扰动方式：Super-EG。我们表明，源自量子混沌动力学的量子OTOC的生长将以超过指数的方式增加。我们还发现，在经典的极限中，线性增强的lyapunov指数实际上触发了经典的OTOC的超级eg，而超级chaos则揭示了超cha。本文的结果打破了EG作为量子系统的限制，这使我们对从黑洞到多体系统的各个物理领域的信息的性质进行了新的见解。
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 letter a periodically-modulated nonlinear Schrödinger system, in which we interestingly find a novel way of information scrambling: super-EG. We show that the quantum OTOCs' growth, 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 new insight into the nature of information scrambling in various fields of physics from black hole to many-body system.
