Thermal quenching of classical and semiclassical scrambling
arxiv(2023)
摘要
Quantum scrambling often gives rise to short-time exponential growth in
out-of-time-ordered correlators (OTOCs). The scrambling rate over an isolated
saddle point at finite temperature is shown here to be reduced by a hierarchy
of quenching processes. Two of these appear in the classical limit, where
escape from the neighbourhood of the saddle reduces the rate by a factor of
two, and thermal fluctuations around the saddle reduce it further; a third
process can be explained semiclassically as arising from quantum thermal
fluctuations around the saddle, which are also responsible for imposing the
Maldacena-Shenker-Stanford bound.
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