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The growth rate of out-of-time ordered correlators (OTOCs) provide for thenotion of a quantum Lyapunov exponent, which quantifies chaos and informationscrambling in quantum systems. In thermal ensembles, this growth rate isreduced from its corresponding value in the microcanonical distribution, and atemperature-dependent bound on has been conjectured to exist for the quantumLyapunov exponent. We detail a two-fold mechanism which is responsible for thereduction of the Lyapunov exponents in thermal quantum systems.

Thermal quenching of classical and semiclassical chaos