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Thermal Pure States for Finite and Isolated Quantum Systems

机译:用于有限和隔离量子系统的热纯态

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src="http://pubs.acs.org/appl/literatum/publisher/achs/journals/content/jpcafh/2017/jpcafh.2017.121.issue-38/acs.jpca.7b06561/20170922/images/medium/jp-2017-065615_0006.gif">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.
机译:src =“http://pubs.acs.org/appl/literatum/publisher/achs/journals/content/jpcafh/2017/jpcafh.2017.121.issue-38/acs.jpca.7b06561/20170922/images/medium /jp-2017-065615_0006.gif">我们研究了量子纯状态的集合,热化弹性集合(TRE),提供了隔离量子系统的热平衡的统计表征。在先前的工作之后,基于相同系统热接触的平均群体的平均群体的不变性,在这里,我们介绍了一种根据TRE统计来产生量子状态的一般方法。采用抽样来表征热力学功能的集合分布,如熵,内部能量和温度。还可以定义具有有限数量自由度的隔离量子系统的温度的可能性是TRE统计学的独特特征,其在其他量子统计集合中没有对应物。结果是通过旋转模型系统的显式计算来说明的。

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