We study an ensemble of quantum pure states, the thermalization resilient ensemble (TRE), providing the statistical characterization of the thermal equilibrium of isolated quantum systems. Following a previous work where the ensemble was defined based on the invariance of the average populations upon thermal contact of identical systems, here we introduce a general methodology to generate quantum states according to the TRE statistic. The sampling is employed to characterize the ensemble distribution of thermodynamic functions like the entropy, internal energy, and temperature. The possibility of defining the temperature also for isolated quantum systems with a limited number of degrees of freedom is a distinctive feature of the TRE statistic which has no counterpart in other quantum statistical ensembles. The results are illustrated by explicit calculations for spin model systems.

中文翻译：

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有限和隔离量子系统的热纯态

我们研究了量子纯态的集合，即热化弹性集合（TRE），提供了孤立量子系统的热平衡的统计特征。在先前的工作中，根据相同系统进行热接触时平均总体的不变性定义了系综，在此，我们介绍了一种根据TRE统计量生成量子态的通用方法。采样用于表征热力学函数（如熵，内部能量和温度）的集合分布。对于具有有限数量的自由度的孤立量子系统，也可以定义温度，这是TRE统计的一个显着特征，TRE统计在其他量子统计集合中没有对应的特征。