Quantum information scrambling and quantum chaos in little string theory

Abstract

In the current manuscript we perform a systematic investigation about the effects of nonlocal interaction to the spread of quantum information in many body system. In particular, we have studied how nonlocality influence the existing bound on the growth rate of the commutator involving two local operators, the butterfly velocity. For this purpose, we consider the nonlocal theory on the worldvolume of $N\gg 1$, NS$5$ branes arising in the limit of vanishing string coupling, the `little string theory'. A direct evidence of nonlocality can be realized from the `volume law' behavior for the most dominant part of holographic entanglement entropy. We obtain the butterfly velocity by studying the dynamics of the near horizon geometry backreacted by a high energy quanta in the form of a shockwave resulting from an early perturbation on the corresponding thermofield double state. We observe that the butterfly velocity increases with the nonlocal scale of little string theory, the inverse Hagedorn temperature ${\beta }_h$, indicating a faster rate of information spread due to the nonlocal interaction. The same conclusion follows as the disruption of two sided mutual information is observed to occur at a faster rate for higher values of ${\beta }_h$. Finally, we realize a direct connection between the parameters of quantum chaos and the quasinormal modes for collective excitations through the phenomenon of `pole skipping'.

38 pages, 15 figures, new comments added, References added, Accepted for publication in JHEP

References in corpus (20)

• Black holes as mirrors: quantum information in random subsystems
• Area laws in quantum systems: mutual information and correlations
• Entanglement as a Probe of Confinement
• Black hole information, unitarity, and nonlocality
• Quantum chaos on a critical Fermi surface
• Bounds on transport from univalence and pole-skipping
• Classifying pole-skipping points
• On Butterfly effect in Higher Derivative Gravities
• Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
• Pole-skipping and Rarita-Schwinger fields
• Pole-skipping and zero temperature
• Constraints on quasinormal modes and bounds for critical points from pole-skipping
• Chaos and pole skipping in CFT${}_2$
• Delocalizing Entanglement of Anisotropic Black Branes
• Pole skipping and chaos in anisotropic plasma: a holographic study
• Pole-skipping and hydrodynamic analysis in Lifshitz, AdS${}_2$ and Rindler geometries
• Fast Scramblers and Non-Commutative Gauge Theories
• Entanglement wedge cross-section in shock wave geometries
• Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena
• Holographic Complexity of LST and Single Trace $T\bar{T}$