REVIEW 3 cited by
On the relation between the magnitude and exponent of OTOCs
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We derive an identity relating the growth exponent of early-time OTOCs, the pre-exponential factor, and a third number called "branching time". The latter is defined within the dynamical mean-field framework, namely, in terms of the retarded kernel. This identity can be used to calculate stringy effects in the SYK and similar models, we also explicitly define "strings" in this context. As another application, we consider an SYK chain. If the coupling strength $\beta J$ is above a certain threshold and nonlinear (in the magnitude of OTOCs) effects are ignored, the exponent in the butterfly wavefront is exactly $2\pi/\beta$.
Forward citations
Cited by 3 Pith papers
-
Chaos in the butterfly cone
The velocity-dependent Lyapunov exponent inside the butterfly cone satisfies λ(v) ≤ 2πT(1-|v|/v_B), a generalization of the chaos bound, saturated in SYK chains, holographic theories, and large N CFTs.
-
Quasiparticle tunnelling in two coupled chiral SYK model
Two weakly coupled chiral SYK models in 1+1 dimensions stay gapless and show massless collective tunneling modes, with no temperature-dependent free-energy correction at leading order.
-
Refining the Understanding of Operator Size Dynamics in Open Quantum Systems
In Brownian SYK models, operator size under the bath-traced Lindblad definition shows a scrambling signature only for intra-system interactions, with the same early-time critical point as the full-contour definition, ...
Discussion (0). Continue with ORCID to comment.