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

Comments: 43 pages, 1 table, 1 figure; v2: expanded discussion

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

Terminology

• Hilbert Space — 73× in this paper · explained in 2 episodes
• Alignment — 9× in this paper
• 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 15 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
• 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 12 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

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Incoherent Imaging with Spatially Structured Quantum Probes
• A quasiparticle-protected superconducting qubit
• Theory of quantum-enhanced interferometry with general Markovian light sources