Generalization of von Neumann's Approach to Thermalization
Generalization of von Neumann's Approach to Thermalization
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DOI：
10.1103/physrevlett.115.010403
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发表时间：
2015-07-01
影响因子：
8.6
通讯作者：
Reimann, Peter
中科院分区：
文献类型：
--
作者：
Reimann, Peter
孤立多体系统的热化通过推广最初由冯·诺伊曼提出的方法来证明：对于具有宏观上定义良好的能量的任意初始状态，在绝大多数足够晚的时间内，量子力学期望值与相应的微规范期望值变得难以区分。正如在冯·诺伊曼的工作中，哈密顿量的特征向量和被考虑的可观测值的特征向量被要求不表现出任何特别定制的（非典型的）相对于对方的方向。但冯·诺伊曼关于可观测的所有进一步假设都被抛弃了。
Thermalization of isolated many-body systems is demonstrated by generalizing an approach originally due to von Neumann: For arbitrary initial states with a macroscopically well-defined energy, quantum mechanical expectation values become indistinguishable from the corresponding microcanonical expectation values for the overwhelming majority of all sufficiently late times. As in von Neumann's work, the eigenvectors of the Hamiltonian and of the considered observable are required to not exhibit any specially tailored (untypical) orientation relative to each other. But all of von Neumann's further assumptions about the admitted observables are abandoned.