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Résumé |
Chaos, in quantum systems, can be diagnosed by certain out-of-time-order
correlators (OTOCs) that obey the chaos bound of Maldacena, Shenker, and Stanford
(MSS). In this talk, I will show that this class of OTOCs must satisfy an infinite
set of constraints, generalizing the MSS bound. Theories of quantum gravity and
their holographic duals are known to be maximally chaotic, saturating the MSS
bound at early times. However, these new bounds imply that the MSS bound cannot be
exactly saturated over any duration of time, however short. On the other hand, I
will discuss a unique analytic extension of the maximal chaos that saturates all
the new chaos bounds. This extremal OTOC has the feature that information of the
initial perturbation is recovered at very late times. I will argue that all
analytic completions of maximal chaos must be small deformations of extremal
chaos. |
