Ensemble equivalence and eigenstate thermalization from clustering of correlation

Tomotaka Kuwahara, Keiji Saito

Research output: Contribution to journalArticlepeer-review

Abstract

Clustering of an equilibrium bipartite correlation is widely observed in non-critical many-body quantum systems. Herein, we consider the thermalization phenomenon in generic finite systems exhibiting clustering. We demonstrate that such classes of systems exhibit the ensemble equivalence between microcanonical and canonical ensembles even for subexponetially small energy shell with respect to the system size. Most remarkably, in low-energy regime, the thermalization for single eigenstate is proven. Our results provide a key insight into the precise analysis of the eigenstate thermalization via the clustering property.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2019 May 6

ASJC Scopus subject areas

  • General

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