The Spectrum in the Sachdev-Ye-Kitaev Model
arXiv:1601.06768 · doi:10.1007/JHEP04(2016)001
Abstract
The SYK model consists of fermions in dimensions with a random, all-to-all quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic and has proposed it as a model of holography. We solve the Schwinger-Dyson equation and compute the spectrum of two-particle states in SYK, finding both a continuous and discrete tower. The four-point function is expressed as a sum over the spectrum. The sum over the discrete tower is evaluated.
29 pages, 2 figures
References in corpus (4)
Cited by in corpus (474)
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- Pedagogical introduction to SYK model and 2D Dilaton Gravity
- Bound on the exponential growth rate of out-of-time-ordered correlators
- Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
- Diffusion in higher dimensional SYK model with complex fermions
- Contrasting SYK-like Models
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- Phases Of Melonic Quantum Mechanics
- Entropic uncertainty relations for quantum information scrambling
- Tensorial Gross-Neveu models
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- A candidate Theory for the "Strange Metal" phase at Finite Energy Window
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- On 2D gauge theories in Jackiw-Teitelboim gravity
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- Fast Scrambling due to Rotating Shockwaves in BTZ
- Bound on Lyapunov exponent in Einstein-Maxwell-Dilaton-Axion black holes
- Quantum chaos in supersymmetric quantum mechanics: an exact diagonalization study
- Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
- Colored discrete spaces: higher dimensional combinatorial maps and quantum gravity
- Generalized Maxwell equal area law and black holes in complex free energy
- Extremal Chaos
- Scaling laws of the out-of-time-order correlators at the transition to the spontaneous -symmetry breaking in a Floquet system
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- Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
- Holographic Kondo and Fano Resonances
- Page Curve from Non-Markovianity
- Correlation functions in the Schwarzian theory
- Hints of unitarity at large in the tensor field theory
- Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect
- Tensor Models for Black Hole Probes
- Matrix Quantum Mechanics from Qubits
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- Many-body chaos near a thermal phase transition
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- Chiral Algebras of Two-Dimensional SYK Models
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- Chaos in Three-dimensional Higher Spin Gravity
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- Quantum error correction and large
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- holography and ModMax
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- Minkowski Conformal Blocks and the Regge Limit for SYK-like Models
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- The Loschmidt Spectral Form Factor
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- Parallel Quantum Algorithm for Hamiltonian Simulation
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- Matrix Quantum Mechanics on
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- Correlations vs connectivity in R-charge
- Spontaneous symmetry breaking in fermionic random matrix model
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- Spatial regions, chaos bound and its violation
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- Finite-size prethermalization at the chaos-to-integrable crossover
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- Factorizing Wormholes in a Partially Disorder-Averaged SYK Model
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- Mimicking black hole event horizons in atomic and solid-state systems
- Long-time Quantum Scrambling and Generalized Tensor Product Structures
- Defect conformal field theory from Sachdev-Ye-Kitaev interactions
- SYK Model with global symmetries in the double scaling limit
- Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole
- Motions of spinning particles and chaos bound in Reissner-Nordström spacetime
- SYK does not Transit Gloria Mundi just yet
- Superconducting gap ratio from strange metal phase in the absence of quasiparticles
- Phase space holography with no strings attached
- Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap
- High temperature expansion of double scaled SYK
- Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
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- Field theory for monitored Brownian SYK clusters
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- Quantum many-body physics from a gravitational lens
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- Super-maximal chaos and instability
- Disordered Supersymmetric Field Theories
- Constructive expansion for quartic vector fields theories. I. Low dimensions
- A simple model for Hawking radiation
- Higher point OTOCs and the bound on chaos
- Quenches and (Pre)Thermalisation in a mixed Sachdev-Ye-Kitaev Model
- Spacing Statistics of Energy Spectra: Random Matrices, Black Hole Thermalization, and Echoes
- Phases of Euclidean wormholes in JT gravity
- Color decorations of Jackiw-Teitelboim gravity
- Mutual averaged non-commutativity of quantum operator algebras
- Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study
- Discrete JT gravity as an Ising model
- Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos
- Benchmarking quantum chaos from geometric complexity
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- The chiral SYK model in three-dimensional holography
- Massive fields and Wilson spools in JT gravity
- SYK model based regime dependent two-qubit dynamical wormhole-inspired teleportation protocol simulation
- Random Permutation Circuits Beyond Qubits are Quantum Chaotic
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- New Limits for Large Matrix and Tensor Models: Large , Melons and Applications
- Chaos in the holographic matrix models for meson and baryon
- What happens due to the baby universe effect in JT gravity? -Analysis of correlation functions and ERB length at late time using three approaches-
- Holographic JT gravity with quartic couplings
- Quartic Tensor Models
- Bound on the Lyapunov exponent in Kerr-Newman black holes via a charged particle
- Melonic large limit of -index irreducible random tensors
- Learning out-of-time-ordered correlators with classical kernel methods
- Matter Coupling of Dirac Matter in the Context of the SYK Model: Non-Gaussian Random Couplings and Bulk Mass Deformations
- A polynomial time algorithm for studying physical observables in chaotic eigenstates
- Lyapunov exponents in a Sachdev-Ye-Kitaev-type model with population imbalance in the conformal limit and beyond
- Edge of Many-Body Quantum Chaos in Quantum Reservoir Computing
- Can we make sense out of "Tensor Field Theory"?
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- Projective Time, Cayley Transformations and the Schwarzian Geometry of the Free Particle--Oscillator Correspondence
- From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
- Realizing Unitary -designs with a Single Quench
- Efficient computation of average subsystem Bures distance between fermionic Gaussian states
- Spin-liquid and spin-glass behavior in quantum spin models with all-to-all p-spin interactions
- Holographic Interpretation of Relative State Complexity
- Correlation Functions and Chaotic Behavior of the SYK Chain Model in Pure States
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- Interacting 1D Chiral Fermions with Pairing: Transition from Integrable to Chaotic
- Fermionic Matrix Models and Bosonization
- A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics
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- Recent developments in the holographic description of quantum chaos