Emergent classicality and wavefunction branching in an isolated quantum many-body system

arXiv:2609.19254 · quant-ph, cond-mat.str-el, math-ph, math.MP · Submitted 2026-09-16 · Read on arXiv

quant-ph, cond-mat.str-el, math-ph, math.MP

Submitted: 2026-09-16

Updated: 2026-09-16

Comments: 7+36 pages, 3+5 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Trace — 21× in this paper · explained in 2 episodes
• Fidelity — 16× in this paper · explained in 2 episodes
• Trace Distance — 10× in this paper · explained in 3 episodes
• Lindblad Dynamics — 9× in this paper · explained in 2 episodes
• Hilbert Space — 7× in this paper · explained in 2 episodes
• Unitary Dynamics — 7× in this paper · explained in 2 episodes
• Decoupling — 5× in this paper · explained in 2 episodes
• Wigner function — 5× in this paper · explained in 2 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Entanglement — 2× in this paper · explained in 3 episodes
• Hypergraph — 2× in this paper · explained in 2 episodes
• Non-Markovianity — 2× in this paper · explained in 3 episodes
• Quantum Zeno Effect — 2× in this paper · explained in 2 episodes
• See the Supplemental Material — 2× in this paper
• Accuracy — 1× in this paper · explained in 1 episode
• Axioms — 1× in this paper · explained in 2 episodes
• Chaotic Dynamics — 1× in this paper · explained in 2 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Ornstein–Uhlenbeck Process — 1× in this paper · explained in 3 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes
• Scaling Laws — 1× in this paper · explained in 4 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Ehrenfest's theorem beyond the Ehrenfest time
• The threshold for quantum-classical correspondence is $D \sim \hbar^{\frac43}$

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