Bloch-sphere representation of three-vertex geometric phases
Bloch-sphere representation of three-vertex geometric phases
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DOI：
10.1103/physreva.84.052114
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发表时间：
2011-07
影响因子：
2.9
通讯作者：
S. Tamate;Kazuhisa Ogawa;M. Kitano
中科院分区：
文献类型：
--
作者：
S. Tamate;Kazuhisa Ogawa;M. Kitano
利用对称量子态的Majorana表示，研究了高维Hilbert空间中三个量子态之间的几何相位特性。我们发现，在一个N态量子系统中，三个量子态之间的几何相位可以用Bloch球面上的N-1个球面三角形来表示。在此基础上分析了几何相位与参数的关系。我们发现，几何相位在高维希尔伯特空间中表现出丰富的非线性行为。
The properties of the geometric phases between three quantum states are investigated in a high-dimensional Hilbert space using the Majorana representation of symmetric quantum states. We found that the geometric phases between the three quantum states in an N-state quantum system can be represented by N-1 spherical triangles on the Bloch sphere. The parameter dependence of the geometric phase was analyzed based on this picture. We found that the geometric phase exhibits rich nonlinear behavior in a high-dimensional Hilbert space.