Out-of-Time-Order correlators in driven conformal field theories

Das, Suchetan; Ezhuthachan, Bobby; Kundu, Arnab; Porey, Somnath; Roy, Baishali; Sengupta, K.

doi:10.48550/arxiv.2202.12815

Cited by 1 publication

(1 citation statement)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Finally, it is of course possible that the butterfly velocity exceeds the speed of light in a theory with an explicit breaking of Lorentz-symmetry, see e.g. [46,47]. From the discussion and examples above, it appears that the butterfly velocity can violate the causality bound when no such violation of Lorentz-symmetry is taking place.…”

Section: Jhep07(2022)046mentioning

confidence: 99%

Critical quenches, OTOCs and early-time chaos

Das

Ezhuthachan

Kundu

et al. 2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

In this article, we explore dynamical aspects of Out-of-Time-Order correlators (OTOCs) for critical quenches, in which an initial non-trivial state evolves with a CFT-Hamiltonian. At sufficiently large time, global critical quenches exhibit a universal thermal-behavior in terms of low-point correlators. We demonstrate that, under such a quench, OTOCs demarcate chaotic CFTs from integrable CFTs by exhibiting a characteristic exponential Lyapunov growth for the former. Upon perturbatively introducing inhomogeneity to the global quench, we further argue and demonstrate with examples that, such a perturbation parameter can induce a parametrically large scrambling time, even for a CFT with an order one central charge. This feature may be relevant in designing measurement protocols for non-trivial OTOCs, in general. Both our global and inhomogeneous quench results bode well for an upper bound on the corresponding Lyapunov exponent, that may hold outside thermal equilibrium.

show abstract

Section: Jhep07(2022)046mentioning

confidence: 99%