Scrambling in Two-Dimensional Conformal Field Theories with Light and Smeared Operators

Abstract

We study quantum chaos in two dimensional conformal field theories, building on the work analyzing the out-of-time order thermal correlation functions using large-c Virasoro blocks. Our work investigates the contribution of light intermediate channels and smearing length scales to the four-point function and scrambling. Precise relations for how light intermediate channels increase the scrambling time and how smearing length scales smaller than the thermal length scale decrease the scrambling time are derived.

arXiv comment16 pages, 2 figures

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Cited by in corpus (7)

• Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
• Phases of scrambling in eigenstates
• Lorentzian Dynamics and Factorization Beyond Rationality
• Chaos and pole skipping in CFT${}_2$
• Chaos and operator growth in 2d CFT
• Virasoro blocks and quasimodular forms
• Fast Scrambling under an RG-flow