Quantum Entropy Thermalization

Author(s)
Huang, Yichen; Harrow, Aram W.
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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 4-body interactions as a perturbation to a random free-fermion model.
Date issued
2025-05-21
URI
https://hdl.handle.net/1721.1/159357
Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Journal
Communications in Mathematical Physics
Publisher
Springer Berlin Heidelberg
Citation
Huang, Y., Harrow, A.W. Quantum Entropy Thermalization. Commun. Math. Phys. 406, 136 (2025).
Version: Author's final manuscript
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