Euclidean wormhole in the SYK model
arXiv:2010.11633 · doi:10.1103/PhysRevD.103.046014
Abstract
We study a two-site Sachdev-Ye-Kitaev (SYK) model with complex couplings, and identify a low temperature transition to a gapped phase characterized by a constant in temperature free energy. This transition is observed without introducing a coupling between the two sites, and only appears after ensemble average over the complex couplings. We propose a gravity interpretation of these results by constructing an explicit solution of Jackiw-Teitelboim (JT) gravity with matter: a two-dimensional Euclidean wormhole whose geometry is the double trumpet. This solution is sustained by imaginary sources for a marginal operator, without the need of a coupling between the two boundaries. As the temperature is decreased, there is a transition from a disconnected phase with two black holes to the connected wormhole phase, in qualitative agreement with the SYK observation. The expectation value of the marginal operator is an order parameter for this transition. This illustrates in a concrete setup how a Euclidean wormhole can arise from an average over field theory couplings.
arXiv comment27 pages, v2: added discussion on annealed vs quenched, v3: published version
References in corpus (51)
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Eternal Black Holes in AdS
- The String Landscape, Black Holes and Gravity as the Weakest Force
- Cool horizons for entangled black holes
- Replica Wormholes and the Entropy of Hawking Radiation
- The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
- The QCD phase diagram for small densities from imaginary chemical potential
- The entropy of Hawking radiation
- Chaos in AdS holography
- An Investigation of AdS Backreaction and Holography
- Traversable Wormholes via a Double Trace Deformation
- Wormholes in AdS
- Diving into traversable wormholes
- Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
- Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
- Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
- Eternal traversable wormhole
- JT gravity as a matrix integral
- A semiclassical ramp in SYK and in gravity
- Bi-Local Holography in the SYK Model
- Power-law out of time order correlation functions in the SYK model
- On the Dynamics of Near-Extremal Black Holes
- Random Statistics of OPE Coefficients and Euclidean Wormholes
- Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
- AdS gravity and random CFT
- Averaging Over Narain Moduli Space
- Euclidean wormholes, baby universes, and their impact on particle physics and cosmology
- Eigenstate Thermalization and Disorder Averaging in Gravity
- Quantum chaos transition in a two-site SYK model dual to an eternal traversable wormhole
- Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity
- Conformal Symmetry Breaking and Thermodynamics of Near-Extremal Black Holes
- Free Energy from Replica Wormholes
- Comments on wormholes, ensembles, and cosmology
- More quantum noise from wormholes
- Gravitational Constrained Instantons
- Baby Universes, Holography, and the Swampland
- Wormhole calculus, replicas, and entropies
- New boundary conditions for AdS
- Symmetry Breaking in Coupled SYK or Tensor Models
- Euclidean Wormholes and Holography
- Holographic Consequences of a No Transmission Principle
- Matrix ensembles with global symmetries and 't Hooft anomalies from 2d gauge theory
- Lessons on Eternal Traversable Wormholes in AdS
- Euclidean axion wormholes have multiple negative modes
- Bulk View of Teleportation and Traversable Wormholes
- Density matrices in quantum gravity
- Liouville theory and Matrix models: A Wheeler DeWitt perspective
- On Free Energy for Deformed JT Gravity
- Breaking away from the near horizon of extreme Kerr
- On 2D gauge theories in Jackiw-Teitelboim gravity
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- AdS Euclidean wormholes
- Lindbladian dissipation of strongly-correlated quantum matter
- Lindbladian dynamics of the Sachdev-Ye-Kitaev model
- Wormholes & Holography: An Introduction
- OPE statistics from higher-point crossing
- Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
- Universality and its limits in non-Hermitian many-body quantum chaos using the Sachdev-Ye-Kitaev model
- From black holes to baby universes in CGHS gravity
- Going beyond ER=EPR in the SYK model
- Half-wormholes in nearly AdS holography
- -Laguerre spectral density and quantum chaos in the Wishart-Sachdev-Ye-Kitaev model
- The double cone geometry is stable to brane nucleation
- Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
- Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
- Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
- holography and ModMax
- Singular Value Decomposition and Its Blind Spot for Quantum Chaos in Non-Hermitian Sachdev-Ye-Kitaev Models
- Replica Symmetry Breaking for the Integrable Two-Site Sachdev-Ye-Kitaev Model
- The gravitational path integral for BPS black holes from black hole microstate counting
- Electric conductivity in non-Hermitian holography
- Toward Krylov-based holography in double-scaled SYK
- Factorizing Wormholes in a Partially Disorder-Averaged SYK Model
- A Tale of Two Saddles
- Free energy landscape and kinetics of phase transition in two coupled SYK models
- Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model
- Baby universes, ensemble averages and factorizations with matters
- deformation on non-Hermitian two coupled SYK model
- Holographic central charge for sine dilaton gravity
- Phases of Euclidean wormholes in JT gravity
- Holographic Rényi relative divergence in JT gravity
- Emergent non-Hermitian conservation laws at exceptional points
- Hot wormholes and chaos dynamics in a two-coupled SYK model
- Holographic JT gravity with quartic couplings
- Replicas, averaging and factorization in the IIB matrix model
- Destruction and recovery of the entanglement entropy of a many-body quantum system after a single measurement
- Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model
- Replica Symmetry Breaking in Random Non-Hermitian Systems