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Analogous Hawking Radiation in Butterfly Effect

by Takeshi Morita

Submission summary

As Contributors: Takeshi Morita
Preprint link: scipost_202010_00029v2
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
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
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.

Current status:
Publication decision taken: accept

Editorial decision: For Journal SciPost Physics Proceedings: Publish
(status: Editorial decision fixed and (if required) accepted by authors)



Author comments upon resubmission

Dear Referee,

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.

Submission & Refereeing History

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Resubmission scipost_202010_00029v2 on 16 December 2020

Reports on this Submission

Anonymous Report 1 on 2020-12-26 Invited Report

Report

Since the author has addressed all my comments in the second version of his paper, I am happy to recommend the paper for publication.

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