Chaotic many-body quantum dynamics, spectral correlations, and energy diffusion

arXiv:2510.02198 · quant-ph, cond-mat.stat-mech · Submitted 2025-10-02 · Read on arXiv

quant-ph, cond-mat.stat-mech

Submitted: 2025-10-02

Updated: 2026-06-29

Terminology

• Quantum Circuits — 16× in this paper · explained in 2 episodes
• Hilbert Space — 14× in this paper · explained in 2 episodes
• Entanglement — 5× in this paper · explained in 3 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Symmetry Breaking — 2× in this paper · explained in 3 episodes
• Chaotic Dynamics — 1× in this paper · explained in 2 episodes
• Conservation Laws — 1× in this paper · explained in 3 episodes
• SYK Model — 1× in this paper · explained in 2 episodes
• Spectral Form Factor (SFF) — 1× in this paper · explained in 2 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes
• Universality Class — 1× in this paper · explained in 2 episodes

Sources

• A semiclassical ramp in SYK and in gravity
• Path integral approach to quantum thermalization
• Group word dynamics from local random matrix Hamiltonians and beyond
• Leading and beyond leading-order spectral form factor in chaotic quantum many-body systems across all Dyson symmetry classes
• Subexponential decay of local correlations from diffusion-limited dephasing

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