Dynamical typicality of isolated many-body quantum systems.

Dynamical typicality of isolated many-body quantum systems.
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孤立多体量子系统的动态典型性

DOI:
10.1103/physreve.97.062129
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发表时间:
2018
期刊:
Physical review. E
影响因子:
--
通讯作者:
P. Reimann
P. Reimann
中科院分区:
--
文献类型:
--
作者:
P. Reimann

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动力学典型性指的是这样一种性质,即对于某些给定的可观测量,最初表现出(几乎)相同期望值的两个纯态,在根据相应的薛定谔方程随时间演化时,也很可能表现出非常相似的期望值。对于足够高维的量子力学模型系统,我们统一和推广了以前的各种这种类型的发现。特别强调了初始期望值和谱必须满足的充要条件。
Dynamical typicality refers to the property that two pure states, which initially exhibit (almost) the same expectation value for some given observable, are very likely to exhibit also very similar expectation values when evolving in time according to the pertinent Schrödinger equation. We unify and generalize a variety of previous findings of this type for sufficiently high-dimensional quantum mechanical model systems. Particular emphasis is put on the necessary and sufficient conditions, which the initial expectation value and the spectrum ofhave to fulfill.
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