Onset of random-matrix statistics in the Yukawa-Sachdev-Ye-Kitaev model: Spectral correlations and Krylov complexity

arXiv:2609.30333 · nlin.CD, cond-mat.str-el, hep-th, quant-ph · Submitted 2026-09-24 · Read on arXiv

nlin.CD, cond-mat.str-el, hep-th, quant-ph

Submitted: 2026-09-24

Updated: 2026-09-24

Terminology

• Krylov Complexity — 37× in this paper · explained in 3 episodes
• SYK Model — 10× in this paper · explained in 2 episodes
• Benchmark — 4× in this paper · explained in 2 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Chaotic Dynamics — 3× in this paper · explained in 2 episodes
• Effective Hamiltonian — 2× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 3 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Spectral Form Factor (SFF) — 2× in this paper · explained in 2 episodes
• Clustering — 1× in this paper · explained in 2 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• Poisson to Gaussian-unitary-ensemble — 1× in this paper
• Quantum Physics — 1× in this paper · explained in 10 episodes

Sources

• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• An introduction to the SYK model
• Comments on the Sachdev-Ye-Kitaev model
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Black Holes and Random Matrices
• Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
• Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev model
• Quantum Phase Transition in the Yukawa-SYK Model
• Yukawa-SYK model and Self-tuned Quantum Criticality
• Pairing Instabilities of the Yukawa-SYK Models with Controlled Fermion Incoherence
• Dirac Fast Scramblers
• Universal theory of strange metals from spatially random interactions
• Holographic superconductivity of a critical Fermi surface
• From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
• Quantum chaos and phase transition in the Yukawa-SYK model
• A new class of SYK-like models with maximal chaos
• Low-rank Sachdev-Ye-Kitaev models
• Quantum chaos and the complexity of spread of states
• Why Cooper pairs live in AdS2: a spectral analysis of the Yukawa-SYK model

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