A semiclassical ramp in SYK and in gravity

Abstract

In finite entropy systems, real-time partition functions do not decay to zero at late time. Instead, assuming random matrix universality, suitable averages exhibit a growing "ramp" and "plateau" structure. Deriving this non-decaying behavior in a large $N$ collective field description is a challenge related to one version of the black hole information problem. We describe a candidate semiclassical explanation of the ramp for the SYK model and for black holes. In SYK, this is a two-replica nonperturbative saddle point for the large $N$ collective fields, with zero action and a compact zero mode that leads to a linearly growing ramp. In the black hole context, the solution is a two-sided black hole that is periodically identified under a Killing time translation. We discuss but do not resolve some puzzles that arise.

arXiv comment34 pages plus appendices. v2: coefficient of ramp computed (appendix C), minor corrections, references added

References in corpus (42)

• Chaos and Quantum Thermalization
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Eternal Black Holes in AdS
• Building up spacetime with quantum entanglement
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• Chaos in AdS${}_2$ holography
• An Investigation of AdS${}_2$ Backreaction and Holography
• Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
• Quantum Gravity Partition Functions in Three Dimensions
• Chaos and complexity by design
• Towards the fast scrambling conjecture
• Wormholes in AdS
• Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
• Combinatorics of Boundaries in String Theory
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• Random Quantum Circuits are Approximate 2-designs
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• The Trouble with de Sitter Space
• Random Quantum Circuits and Pseudo-Random Operators: Theory and Applications
• Spectral statistics in spatially extended chaotic quantum many-body systems
• Eternal traversable wormhole
• JT gravity as a matrix integral
• Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
• Numerical study of fermion and boson models with infinite-range random interactions
• Power-law out of time order correlation functions in the SYK model
• Spectral Statistics Beyond Random Matrix Theory
• Viscosity and dissipative hydrodynamics from effective field theory
• Euclidean Wormholes in String Theory
• Conservation Laws and 2D Black Holes in Dilaton Gravity
• Local Operators in the Eternal Black Hole
• Models of AdS_2 Backreaction and Holography
• The spectral form factor is not self-averaging
• Very Long Time Scales and Black Hole Thermal Equilibrium
• Spectral form factors and late time quantum chaos
• Developments in Topological Gravity
• Wigner-Dyson Statistics from the Replica Method
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Effective actions for anomalous hydrodynamics
• Dissipation in the effective field theory for hydrodynamics: First order effects
• New Concepts for Old Black Holes
• Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics

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• Interacting systems and wormholes
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• Page Curve for Entanglement Negativity through Geometric Evaporation
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• Two dimensional Nearly de Sitter gravity
• A universal formula for the density of states in theories with finite-group symmetry
• BPS Chaos
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• Rotating Black Holes in AdS, Extremality and Chaos
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