Eigenstate Thermalization from the Clustering Property of Correlation
Eigenstate Thermalization from the Clustering Property of Correlation
复制标题
相关聚类性质的本征态热化
DOI：
10.1103/physrevlett.124.200604
复制
发表时间：
2020
影响因子：
8.6
通讯作者：
Keiji Saito
中科院分区：
文献类型：
--
作者：
Tomotaka Kuwahara;Keiji Saito
平衡二分关联的成团性质是非临界多体量子系统中最普遍的热力学性质之一。在这里，我们考虑的热化性质的系统类表现出聚类属性。我们调查两个制度，即，制度的高和低密度的状态对应的高和低能量的制度，分别。我们表明，通过态密度的集群属性连接到本征态热化的几个属性。值得注意的是，本征态热化是在低能量区获得的，具有稀疏的态密度，这通常见于带隙系统。对于高能量的制度，我们证明了微正则和正则系综之间的系综等价性，即使是一个亚指数级的小能量壳相对于系统的大小，这最终导致本征态热化的弱版本。
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- and 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.