Unfolded Krylov complexity: universal chaotic dynamics without false positives

arXiv:2609.02228 · hep-th, nlin.CD, quant-ph · Submitted 2026-09-02 · Read on arXiv

hep-th, nlin.CD, quant-ph

Submitted: 2026-09-02

Updated: 2026-09-17

Terminology

• Krylov Complexity — 17× in this paper · explained in 3 episodes
• Chebyshev Polynomials — 11× in this paper · explained in 2 episodes
• Benchmark — 5× in this paper · explained in 2 episodes
• Chaotic Dynamics — 3× in this paper · explained in 2 episodes
• SYK Model — 3× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Spectral Signature — 2× in this paper · explained in 2 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Entanglement — 1× in this paper · explained in 4 episodes
• Gaussian Symplectic Ensemble — 1× in this paper
• Gaussian Unitary Ensemble — 1× in this paper
• Quantum Physics — 1× in this paper · explained in 11 episodes
• Random Matrix Theory (RMT) — 1× in this paper · explained in 3 episodes

Sources

• Black holes and the butterfly effect
• Stringy effects in scrambling
• Black Holes and Random Matrices
• Chaotic strings in AdS/CFT
• JT Gravity and the Ensembles of Random Matrix Theory
• Quantum chaos and the holographic principle
• Fast Scramblers
• A bound on chaos
• Does scrambling equal chaos?
• Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator
• Random Matrix Theories in Quantum Physics: Common Concepts
• A Universal Operator Growth Hypothesis
• Quantum chaos and the complexity of spread of states
• Krylov complexity of density matrix operators
• Quantum Dynamics in Krylov Space: Methods and Applications
• Krylov Complexity
• Krylov complexity in saddle-dominated scrambling
• Spread complexity in saddle-dominated scrambling
• Universal chaotic dynamics from Krylov space

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