期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP08(2016)106
关键词
1/N Expansion; Black Holes; AdS-CFT Correspondence
资金
- U.S. Department of Energy [de-sc0009988]
- NSF [PHY-1316699, PHY-1314311/Dirac]
- John Templeton Foundation
We conjecture a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom. Chaos can be diagnosed using an out-of-time-order correlation function closely related to the commutator of operators separated in time. We conjecture that the influence of chaos on this correlator can develop no faster than exponentially, with Lyapunov exponent lambda(L) <= 2 pi k(B)T/h. We give a precise mathematical argument, based on plausible physical assumptions, establishing this conjecture.
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