Related papers: Quantum entropy thermalization

Quantum entropy thermalization

URL: http://arxiv.org/abs/2302.10165v1
Date: Mon, 20 Feb 2023 18:51:21 GMT
Title: Quantum entropy thermalization
Authors: Yichen Huang and Aram W. Harrow
Abstract summary: In an isolated quantum many-body system, the entropy of a subsystem thermalizes if at long times, it is to leading order equal to the thermodynamic entropy of the subsystem at the same energy. We prove entropy thermalization for a nearly integrable Sachdev-Ye-Kitaev model in a pure product state.
Score: 5.5586788751870175
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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