Relevance of the eigenstate thermalization hypothesis for thermal relaxation.
Relevance of the eigenstate thermalization hypothesis for thermal relaxation.
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DOI：
10.1103/physreve.91.012120
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发表时间：
2014-08
期刊：
影响因子：
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通讯作者：
A. Khodja;R. Steinigeweg;J. Gemmer
中科院分区：
文献类型：
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作者：
A. Khodja;R. Steinigeweg;J. Gemmer
我们研究了本征态热化假设（ETH）的有效性及其对封闭量子多体系统中初态独立（ISI）平衡发生的作用。利用动力学典型性的概念，我们提出了一个广泛的数值分析的能量交换的可积和不可积的自旋1/2系统的大尺寸范围外的精确对角化。在不可积系统的情况下，我们的有限尺寸标度表明，ETH成为有效的热力学极限，可以作为ISI平衡的基本机制。然而，在可积系统的情况下，尽管违反了ETH，ISI平衡的指示已被观察到。我们在这个观察结果和在ETH中选择适当参数的需要之间建立了联系。
We study the validity of the eigenstate thermalization hypothesis (ETH) and its role for the occurrence of initial-state independent (ISI) equilibration in closed quantum many-body systems. Using the concept of dynamical typicality, we present an extensive numerical analysis of energy exchange in integrable and nonintegrable spin-1/2 systems of large size outside the range of exact diagonalization. In the case of nonintegrable systems, our finite-size scaling shows that the ETH becomes valid in the thermodynamic limit and can serve as the underlying mechanism for ISI equilibration. In the case of integrable systems, however, indication of ISI equilibration has been observed despite the violation of the ETH. We establish a connection between this observation and the need of choosing a proper parameter within the ETH.