Super-exponential scrambling of Out-of-time-ordered correlators
- URL: http://arxiv.org/abs/2012.02341v3
- Date: Mon, 29 Mar 2021 00:44:36 GMT
- Title: Super-exponential scrambling of Out-of-time-ordered correlators
- Authors: Wen-Lei Zhao, Yue Hu, Zhi Li, and Qian Wang
- Abstract summary: 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.
- Score: 12.432893206913976
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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 Schr\"odinger 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.
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