Pushing the limits of the eigenstate thermalization hypothesis towards mesoscopic quantum systems.
Pushing the limits of the eigenstate thermalization hypothesis towards mesoscopic quantum systems.
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DOI：
10.1103/physrevlett.112.130403
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发表时间：
2013-11
影响因子：
8.6
通讯作者：
R. Steinigeweg;Abdelah Khodja;Hendrik Niemeyer;C. Gogolin;J. Gemmer
中科院分区：
文献类型：
--
作者：
R. Steinigeweg;Abdelah Khodja;Hendrik Niemeyer;C. Gogolin;J. Gemmer
在关于封闭量子多体系统热化的持续讨论中，本征态热化假说最近被提出作为一个普遍的概念，并引起了相当大的关注。到目前为止，正如其名称所示，这个概念还只是假设。大多数克服这一假设特征的尝试都是基于精确的对角化，这意味着例如自旋系统的自旋限制约为 15 次。在这封信中，我们提出了一种方法，将这一限制提高到大约 35 次旋转的系统大小，从而大大超出了精确对角化所能实现的范围。演示了海森堡自旋梯的具体应用，该应用产生了结论性的结果。
In the ongoing discussion on thermalization in closed quantum many-body systems, the eigenstate thermalization hypothesis has recently been proposed as a universal concept and has attracted considerable attention. So far this concept is, as the name states, hypothetical. The majority of attempts to overcome this hypothetical character are based on exact diagonalization, which implies for, e.g., spin systems a limitation of roughly 15 spins. In this Letter we present an approach that pushes this limit up to system sizes of roughly 35 spins, thereby going significantly beyond what is possible with exact diagonalization. A concrete application to a Heisenberg spin ladder which yields conclusive results is demonstrated.