Ensemble equivalence and eigenstate thermalization from clustering of correlation
Kuwahara, Tomotaka ; Saito, Keiji
arXiv, 1905.01886 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2019-05-06
Classification:  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Quantum Physics 
@article{1905.01886,
     author = {Kuwahara, Tomotaka and Saito, Keiji},
     title = {Ensemble equivalence and eigenstate thermalization from clustering of
  correlation},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1905.01886}
}

Kuwahara, Tomotaka; Saito, Keiji. Ensemble equivalence and eigenstate thermalization from clustering of
  correlation. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1905.01886/