Subleading Bounds on Chaos

Understand

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).

• We begin by deriving a dispersion relation for this class of OTOCs, implying that they must satisfy many more constraints beyond the MSS bound.
• Motivated by this observation, we perform a systematic analysis obtaining an infinite set of constraints on the OTOC.
• This infinite set includes the MSS bound as the leading constraint.