TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.4.007
TI  - Analogous Hawking radiation in butterfly effect
PY  - 2021/08/13
UR  - https://scipost.org/SciPostPhysProc.4.007
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 4
SP  - 007
A1  - Morita, Takeshi
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysProc.4.007,
	title={{Analogous Hawking radiation in butterfly effect}},
	author={Takeshi Morita},
	journal={SciPost Phys. Proc.},
	pages={007},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.4.007},
	url={https://scipost.org/10.21468/SciPostPhysProc.4.007},
}