Quantum entropy thermalization
Statistical Mechanics
2025-06-02 v2 Disordered Systems and Neural Networks
High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
In an isolated quantum many-body system undergoing unitary evolution, the entropy of a subsystem (smaller than half the system size) thermalizes if at long times, it is to leading order equal to the thermodynamic entropy of the subsystem at the same energy. In this paper, we prove entropy thermalization for a nearly integrable Sachdev-Ye-Kitaev model initialized in a pure product state. The model is obtained by adding random all-to-all -body interactions as a perturbation to a random free-fermion model.
Keywords
Cite
@article{arxiv.2302.10165,
title = {Quantum entropy thermalization},
author = {Yichen Huang and Aram W. Harrow},
journal= {arXiv preprint arXiv:2302.10165},
year = {2025}
}
Comments
38 pages. v2. Minor changes. Added table of notation. Nearly published version