TY - JOUR
T1 - Ensemble equivalence and eigenstate thermalization from clustering of correlation
AU - Kuwahara, Tomotaka
AU - Saito, Keiji
N1 - Publisher Copyright:
Copyright © 2019, The Authors. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2019/5/6
Y1 - 2019/5/6
N2 - 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.
AB - 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.
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M3 - Article
AN - SCOPUS:85094034809
JO - Mathematical Social Sciences
JF - Mathematical Social Sciences
SN - 0165-4896
ER -