Yao Fei, Li Dechao, Liu Haodi, Fu Libin, Wang Xiaoguang
Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou, 310027, China.
School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, 316022, China.
Sci Rep. 2017 Nov 14;7(1):15558. doi: 10.1038/s41598-017-15776-w.
Majorana stars are visual representation for a quantum pure state. For some states, the corresponding majorana stars are located on one curve on the Block sphere. However, it is lack of exact curve equations for them. To find the exact equations, we consider a superposition of two bosonic coherent states with an arbitrary relative phase. We analytically give the curve equation and find that the curve always goes through the North pole on the Block sphere. Furthermore, for the superpositions of SU(1,1) coherent states, we find the same curve equation.
马约拉纳星是量子纯态的直观表示。对于某些态,相应的马约拉纳星位于布洛赫球面上的一条曲线上。然而,目前尚缺乏关于它们的确切曲线方程。为了找到确切方程,我们考虑两个具有任意相对相位的玻色相干态的叠加。我们通过解析给出了曲线方程,并发现该曲线总是经过布洛赫球面上的北极点。此外,对于SU(1,1)相干态的叠加,我们得到了相同的曲线方程。