Thermalization without eigenstate thermalization
- URL: http://arxiv.org/abs/2209.09826v2
- Date: Tue, 28 Nov 2023 19:58:55 GMT
- Title: Thermalization without eigenstate thermalization
- Authors: Aram W. Harrow and Yichen Huang
- Abstract summary: We study the thermalization of a subsystem in an isolated quantum many-body system.
In this setting, the eigenstate thermalization hypothesis (ETH) was proposed to explain thermalization.
- Score: 7.88657961743755
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In an isolated quantum many-body system undergoing unitary evolution, we
study the thermalization of a subsystem, treating the rest of the system as a
bath. In this setting, the eigenstate thermalization hypothesis (ETH) was
proposed to explain thermalization. Consider a nearly integrable
Sachdev-Ye-Kitaev model obtained by adding random all-to-all 4-body
interactions as a perturbation to a random free-fermion model. When the
subsystem size is larger than the square root of but is still a vanishing
fraction of the system size, we prove thermalization if the system is
initialized in a random product state, while almost all eigenstates violate the
ETH. In this sense, the ETH is not a necessary condition for thermalization.
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