Refining Deutsch's approach to thermalization

2021/02/10 by Peter Reimann, Lennart Dabelow · 14 citations
Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Artificial intelligence #Carry (investment) #Chemistry #Class (philosophy) #Computer science #Economics #Physical chemistry #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Refining (metallurgy) #Statistical physics #Theoretical physics #Thermal #Thermal equilibrium #Thermalisation #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.103.022119

published in Physical review. E 103(2), 022119 (American Physical Society)

openalex publication_date 2021/02/10 · arxiv created 2021/02/11 · arxiv updated 2021/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The groundbreaking investigation by Deutsch [Phys. Rev. A 43, 2046 (1991)PLRAAN1050-294710.1103/PhysRevA.43.2046] of how a closed many-body quantum system approaches thermal equilibrium is revisited. It is shown how to carry out some important steps that were missing in that paper. Moreover, the class of admitted systems is extended considerably.

Citations

• From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
• Wigner Random Banded Matrices with Sparse Structure: Local Spectral Density of States
• Quantum statistical mechanics in a closed system
• Thermodynamic entropy of a many-body energy eigenstate
• Quantum chaos and thermalization in isolated systems of interacting particles
• Weak eigenstate thermalization with large deviation bound
• Relaxation Theory for Perturbed Many-Body Quantum Systems versus Numerics and Experiment
• Characteristic Vectors of Bordered Matrices With Infinite Dimensions