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Analogous Hawking Radiation in Butterfly Effect
by Takeshi Morita
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Takeshi Morita |
| Submission information | |
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| Preprint Link: | scipost_202010_00029v2 (pdf) |
| Date accepted: | 2020-12-29 |
| Date submitted: | 2020-12-16 17:15 |
| Submitted by: | Morita, Takeshi |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 4th International Conference on Holography, String Theory and Discrete Approach in Hanoi (STRHAN2020) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We propose that Hawking radiation-like phenomena may be observed in systems that show butterfly effects. Suppose that a classical dynamical system has a Lyapunov exponent $\lambda_L$, and is deterministic and non-thermal ($T=0$). We argue that, if we quantize this system, the quantum fluctuations may imitate thermal fluctuations with temperature $T \sim \hbar \lambda_L/2 \pi $ in a semi-classical regime, and it may cause analogous Hawking radiation. We also discuss that our proposal may provide an intuitive explanation of the existence of the bound of chaos proposed by Maldacena, Shenker and Stanford.
Author comments upon resubmission
I would like to thank the referee for reading my manuscript and giving valuable comments. As the referee pointed out, my result is consistent with Ref.[9]. I added footnote 8 about this interesting relation to Ref.[9] at the end of section 3.2.
Sincerely,
Takeshi Morita
List of changes
I added footnote 8 about the relation to Ref.[9] at the end of section 3.2.
Published as SciPost Phys. Proc. 4, 007 (2021)