Fast Scrambling due to Rotating Shockwaves in BTZ

Abstract

We study the perturbation due to rotating shockwaves in BTZ geometries at late times and analyse the change in Mutual Information between the two subsystems belonging to the dual CFT${}_L$ and CFT${}_R$. We find that the scrambling of Mutual Information is in general governed by the Lyapunov index ${\lambda }_L$ which is bounded by $\kappa =\frac{2\pi }{\beta (1-\mu \mathcal{L})}\ge \frac{2\pi }{\beta }$ where $\mu =r_{-}/r_{+}$ and $\mathcal{L}$ is the angular momentum of the shockwave. For the special case of $\mathcal{L}$=$1$ we find the Mutual Information analytically and show that it is characterized by ${\lambda }_L=\kappa /2$ with the scrambling time for large black holes given as $t_{\ast }=\frac{\beta (1-\mu )}{\pi }\log S$.

arXiv comment28 pages, 1 figure

References in corpus (45)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A bound on chaos
• Aspects of Holographic Entanglement Entropy
• Comments on the Sachdev-Ye-Kitaev model
• A Covariant Holographic Entanglement Entropy Proposal
• Eternal Black Holes in AdS
• Black holes and the butterfly effect
• Black holes as mirrors: quantum information in random subsystems
• Generalized gravitational entropy
• Fast Scramblers
• Replica Wormholes and the Entropy of Hawking Radiation
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Quantum corrections to holographic entanglement entropy
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Chaos in AdS${}_2$ holography
• Area laws in quantum systems: mutual information and correlations
• The Spectrum in the Sachdev-Ye-Kitaev Model
• Multiple Shocks
• Towards the fast scrambling conjecture
• Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
• On the Dynamics of Near-Extremal Black Holes
• On Gravitational Shock Waves in Curved Spacetimes
• Many-body chaos and energy dynamics in holography
• 5D Rotating Black Holes and the nAdS${}_2$/nCFT${}_1$ Correspondence
• Dynamical entanglement entropy with angular momentum and U(1) charge
• Geodesic Structure of the 2 + 1 Black Hole
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Scrambling time from local perturbations of the eternal BTZ black hole
• On the Chaos Bound in Rotating Black Holes
• Chaos in the butterfly cone
• Pole-skipping with finite-coupling corrections
• Quantum Chaos in Topologically Massive Gravity
• On systems of maximal quantum chaos
• On Butterfly effect in Higher Derivative Gravities
• Holographic chaos, pole-skipping, and regularity
• Pole-skipping and zero temperature
• Butterflies with rotation and charge
• Chaos in CFT dual to rotating BTZ
• Gravitational perturbations from NHEK to Kerr
• Non-Lorentzian Chaos and Cosmological Holography
• The inside outs of AdS(3)/CFT(2): Exact AdS wormholes with entangled CFT duals
• Rotating 5D Black Holes: Interactions and deformations near extremality
• Slow scrambling in extremal BTZ and microstate geometries
• Extremal Chaos

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• Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics