Eigenstate Thermalization from the Clustering Property of Correlation

Tomotaka Kuwahara, Keiji Saito

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


The clustering property of an equilibrium bipartite correlation is one of the most general thermodynamic properties in noncritical many-body quantum systems. Herein, we consider the thermalization properties of a system class exhibiting the clustering property. We investigate two regimes, namely, regimes of high and low density of states corresponding to high- A nd low-energy regimes, respectively. We show that the clustering property is connected to several properties on the eigenstate thermalization through the density of states. Remarkably, the eigenstate thermalization is obtained in the low-energy regime with a sparse density of states, which is typically seen in gapped systems. For the high-energy regime, we demonstrate the ensemble equivalence between microcanonical and canonical ensembles even for a subexponentially small energy shell with respect to the system size, which eventually leads to the weak version of eigenstate thermalization.

Original languageEnglish
Article number200604
JournalPhysical review letters
Issue number20
Publication statusPublished - 2020 May 22

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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