期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2020)068
关键词
Gauge-gravity correspondence; Black Holes; Models of Quantum Gravity
资金
- JSPS KAKENHI [JP17H06462]
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Science, ICT AMP
- Future Planning [NRF-2017R1A2B4004810]
- GIST Research Institute (GRI) - GIST in 2020
- Ministry of Science & ICT (MSIT), Republic of Korea [GIST-09-08] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
We provide a detailed examination of a thermal out-of-time-order correlator (OTOC) growing exponentially in time in systems without chaos. The system is a one-dimensional quantum mechanics with a potential whose part is an inverted harmonic oscillator. We numerically observe the exponential growth of the OTOC when the temperature is higher than a certain threshold. The Lyapunov exponent is found to be of the order of the classical Lyapunov exponent generated at the hilltop, and it remains non-vanishing even at high temperature. We adopt various shape of the potential and find these features universal. The study confirms that the exponential growth of the thermal OTOC does not necessarily mean chaos when the potential includes a local maximum. We also provide a bound for the Lyapunov exponent of the thermal OTOC in generic quantum mechanics in one dimension, which is of the same form as the chaos bound obtained by Maldacena, Shenker and Stanford.
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