Aperiodicity is sufficient for macroscopic thermalization

arXiv:2608.13462 · quant-ph, cond-mat.stat-mech, hep-th, math-ph, math.MP, nlin.CD · Submitted 2026-08-13 · Read on arXiv

quant-ph, cond-mat.stat-mech, hep-th, math-ph, math.MP, nlin.CD

Submitted: 2026-08-13

Updated: 2026-09-27

Terminology

• Hilbert Space — 73× in this paper · explained in 2 episodes
• Alignment — 9× in this paper · explained in 1 episode
• Entanglement — 9× in this paper · explained in 4 episodes
• Generalization — 4× in this paper · explained in 13 episodes
• Quantization — 4× in this paper · explained in 12 episodes
• Unitary Dynamics — 3× in this paper · explained in 2 episodes
• Conservation Laws — 2× in this paper · explained in 3 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Aggregation — 1× in this paper · explained in 1 episode
• Clustering — 1× in this paper · explained in 2 episodes
• Haar-random Circular Unitary Ensemble — 1× in this paper
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Provable quantum thermalization without statistical averages
• The approach to equilibrium in a macroscopic quantum system for a typical nonequilibrium subspace
• The Complexity of Thermalization in Finite Quantum Systems
• Enhanced entanglement from quantum ergodicity
• Science of Chaos or Chaos in Science?
• Boltzmann's Approach to Statistical Mechanics
• Microscopic Origins of Macroscopic Behavior
• Quantum Ergodicity and Mixing
• Two types of quantum chaos: testing the limits of the Bohigas-Giannoni-Schmit conjecture

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