Probing thermality beyond the diagonal

Abstract

We investigate the off-diagonal sector of eigenstate thermalization using both local and non-local probes in 2-dimensional conformal field theories. A novel analysis of the asymptotics of OPE coefficients via the modular bootstrap is performed to extract the behaviour of the off-diagonal matrix elements. We also probe this sector using semi-classical heavy-light Virasoro blocks. The results demonstrate signatures of thermality and confirms the entropic suppression of the off-diagonal elements as necessitated by the eigenstate thermalization hypothesis.

27 pages, 2 figures

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• ETH and Modular Invariance of 2D CFTs
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• Non-Gaussianities in the Statistical Distribution of Heavy OPE Coefficients and Wormholes
• Beurling-Selberg Extremization and Modular Bootstrap at High Energies
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• High Energy Modular Bootstrap, Global Symmetries and Defects
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• Generalized Gibbs Ensemble of 2d CFTs at large central charge in the thermodynamic limit
• Thermalization in Large-N CFTs
• Generalized Spectral Form Factors and the Statistics of Heavy Operators
• Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography
• Spectrum of End of the World Branes in Holographic BCFTs
• Perturbative classical conformal blocks as Steiner trees on the hyperbolic disk
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• Quantum thermalization and Virasoro symmetry
• Note on ETH of descendant states in 2D CFT
• BMS Characters and Modular Invariance
• AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles
• Eigenstate Thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach
• On KdV characters in large c CFTs
• Entanglement spectrum of geometric states
• BMS Modular Diaries: Torus one-point function
• Eigenstate Thermalization Hypothesis and Approximate Quantum Error Correction
• Light-state Dominance from the Conformal Bootstrap
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• Virasoro blocks and quasimodular forms
• Chaotic and Thermal Aspects in the Highly Excited String S-Matrix
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• Universal Dynamics in Non-Orientable CFT${}_2$
• A Strategy for Proving the Strong Eigenstate Thermalization Hypothesis : Chaotic Systems and Holography
• Quantum many-body physics from a gravitational lens
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• Product of Random States and Spatial (Half-)Wormholes
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