Speed-Fisher Information: Chaos and Irreversibility in Classical and Quantum Dynamics

arXiv:2609.35687 · cond-mat.stat-mech, nlin.CD, quant-ph · Submitted 2026-09-28 · Read on arXiv

cond-mat.stat-mech, nlin.CD, quant-ph

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Fisher Information — 99× in this paper · explained in 3 episodes
• Fidelity — 17× in this paper · explained in 2 episodes
• Hubbard Model — 10× in this paper · explained in 3 episodes
• Chaotic Dynamics — 6× in this paper · explained in 2 episodes
• Phase Transitions — 4× in this paper · explained in 2 episodes
• Gibbs State — 3× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Metastability — 2× in this paper · explained in 2 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Score Function — 2× in this paper · explained in 4 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Adiabatic Passage — 1× in this paper · explained in 1 episode
• Clustering — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Multipartite Entanglement — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Spectral Signature — 1× in this paper · explained in 2 episodes

Sources

• Gradient of the Adiabatic Gauge Potential in Classical Systems
• Hilbert space geometry and quantum chaos
• Multipartite entanglement and high precision metrology
• Fidelity approach to quantum phase transitions
• Universal Dynamical Response to Slow Driving in Chaotic Systems
• Confined and deconfined chaos in classical spin systems
• Sensitivity to perturbations in the three-dimensional Anderson model
• Temperature and integrability-breaking correspondence via adiabatic transformations

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