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• W2118301480 abstract "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 $lambda_L le 2 pi k_B T/hbar$. We give a precise mathematical argument, based on plausible physical assumptions, establishing this conjecture." @default.
• W2118301480 created "2016-06-24" @default.
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• W2118301480 date "2016-08-01" @default.
• W2118301480 modified "2023-10-13" @default.
• W2118301480 title "A bound on chaos" @default.
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• W2118301480 doi "https://doi.org/10.1007/jhep08(2016)106" @default.
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