Gravitational collapse in SYK models and Choptuik-like phenomenon

Abstract

SYK model is a quantum mechanical model of fermions which is solvable at strong coupling and plays an important role as perhaps the simplest holographic model of quantum gravity and black holes. The present work considers a deformed SYK model and a sudden quantum quench in the deformation parameter. The system, as in the undeformed case, permits a low energy description in terms of pseudo Nambu Goldstone modes. The bulk dual of such a system represents a gravitational collapse, which is characterized by a bulk matter stress tensor whose value near the boundary shows a sudden jump at the time of the quench. The resulting gravitational collapse forms a black hole only if the deformation parameter $\Delta \epsilon$ exceeds a certain critical value $\Delta {\epsilon }_c$ and forms a horizonless geometry otherwise. In case a black hole does form, the resulting Hawking temperature is given by a fractional power $T_{bh}\propto (\Delta \epsilon -\Delta {\epsilon }_c{)}^{1/2}$, which is reminiscent of the `Choptuik phenomenon' of critical gravitational collapse.

arXiv commentappendix on path integral derivation of the effective action updated

References in corpus (26)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Chaos in AdS${}_2$ holography
• An Investigation of AdS${}_2$ Backreaction and Holography
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Bekenstein-Hawking Entropy and Strange Metals
• On weakly turbulent instability of anti-de Sitter space
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Holographic metals and the fractionalized Fermi liquid
• Diving into traversable wormholes
• Critical phenomena in gravitational collapse
• State-Dependent Bulk-Boundary Maps and Black Hole Complementarity
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Quantum quench of the Sachdev-Ye-Kitaev Model
• Black Hole Collapse in the 1/c Expansion
• Gravitational collapse in 2+1 dimensional AdS spacetime
• Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK
• Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• Quantum Quenches and Thermalization in SYK models
• Universality and Scaling at the Onset of Quantum Black Hole Formation
• Gott Time Machines, BTZ Black Hole Formation, and Choptuik Scaling
• Towards a Finite-$N$ Hologram
• Revealing the interior of black holes out of equilibrium in the SYK model

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• Jackiw-Teitelboim Gravity in the Second Order Formalism
• Rotating Black Holes in AdS, Extremality and Chaos
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• Extended Eigenstate Thermalization and the role of FZZT branes in the Schwarzian theory
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Thermalization in different phases of charged SYK model
• Time-dependent $NAd{S}_2$ holography with applications
• Self-Similar Gravitational Dynamics, Singularities and Criticality in 2D
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• A Microscopic Model of Black Hole Evaporation in Two Dimensions
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