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Analogous Hawking Radiation in Butterfly Effect
by Takeshi Morita
- Published as SciPost Phys. Proc. 4, 007 (2021)
|As Contributors:||Takeshi Morita|
|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|
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.
Published as SciPost Phys. Proc. 4, 007 (2021)
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.. I added footnote 8 about this interesting relation to Ref. at the end of section 3.2.
List of changes
I added footnote 8 about the relation to Ref. at the end of section 3.2.
Submission & Refereeing History
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Reports on this Submission
Anonymous Report 1 on 2020-12-26 (Invited 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.