Dynamical Decomposition of Bilinear Control Systems Subject to Symmetries
Dynamical Decomposition of Bilinear Control Systems Subject to Symmetries
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DOI：
10.1007/s10883-020-09488-0
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发表时间：
2018-06
影响因子：
0.9
通讯作者：
D. D’Alessandro;J. Hartwig
中科院分区：
文献类型：
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作者：
D. D’Alessandro;J. Hartwig
我们描述了一种方法来分析和分解的双线性控制系统的对称性的动态。该方法基于表示论的广义Young对称化子的概念。它自然适用于系统在张量积空间上演化的情况，并且存在交换各种因素的动力学的有限对称群。量子力学多部分系统（例如自旋网络）就是这种情况，其中张量积的每个因子代表其中一个组成系统的状态。我们提出了几个应用的例子。
We describe a method to analyze and decompose the dynamics of a bilinear control system subject to symmetries. The method is based on the concept ofgeneralized Young symmetrizersof representation theory. It naturally applies to the situation where the system evolves on a tensor product space and there exists a finite group of symmetries for the dynamics which interchanges the various factors. This is the case forquantum mechanical multipartitesystems, such as spin networks, where each factor of the tensor product represents the state of one of the component systems. We present several examples of application.