Full macroscopic thermalization and the formation of Schr"odinger's cats by unitary time evolution in the weakly perturbed Ising model - Applications of the Roos-Sugimoto-Teufel-Tumulka-Vogel theory

arXiv:2609.21757 · cond-mat.stat-mech, math-ph, math.MP, quant-ph · Submitted 2026-09-18 · Read on arXiv

cond-mat.stat-mech, math-ph, math.MP, quant-ph

Submitted: 2026-09-18

Updated: 2026-09-18

Terminology

• Trace — 6× in this paper · explained in 2 episodes
• Gibbs State — 5× in this paper · explained in 2 episodes
• Degeneracy — 4× in this paper · explained in 3 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Commentary — 1× in this paper · explained in 2 episodes
• Conservation Laws — 1× in this paper · explained in 3 episodes
• Eigenstate Thermalization Hypothesis (ETH) — 1× in this paper · explained in 4 episodes
• Error Exponents — 1× in this paper · explained in 2 episodes
• First-Order Transition — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• S8 of the Supplemental Material — 1× in this paper
• Symmetry Breaking — 1× in this paper · explained in 3 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

Sources

• Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
• On the Approach to Thermal Equilibrium of Macroscopic Quantum Systems
• Long-Time Behavior of Macroscopic Quantum Systems: Commentary Accompanying the English Translation of John von Neumann's 1929 Article on the Quantum Ergodic Theorem
• Generalization of von Neumann's Approach to Thermalization
• Typicality of thermal equilibrium and thermalization in isolated macroscopic quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Nature abhors a vacuum: A simple rigorous example of thermalization in an isolated macroscopic quantum system
• Heat flows from hot to cold: A simple rigorous example of thermalization in an isolated macroscopic quantum system
• Macroscopic Irreversibility in Quantum Systems: Free Expansion in a Fermion Chain
• Timescale for macroscopic equilibration in isolated quantum systems: a rigorous derivation for free fermions
• Macroscopic thermalization by unitary time-evolution in the weakly perturbed two-dimensional Ising model --- An application of the Roos-Teufel-Tumulka-Vogel theorem
• Random Currents and Continuity of Ising Model's Spontaneous Magnetization
• Continuity of the phase transition for planar random-cluster and Potts models with $1\le q\le4$
• Three `species' of Schr\"odinger cat states in an infinite-range spin model
• Eigenstate Thermalization in Systems with Spontaneously Broken Symmetry
• Stability of quantum states of finite macroscopic systems against classical noises, perturbations from environments, and local measurements
• Symmetry-prohibited thermalization after a quantum quench
• Slab percolation for the Ising model
• Translation invariant Gibbs states for the Ising model

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