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The Exact Curve Equation for Majorana Stars
Fei Yao1, Dechao Li2, Haodi Liu3
1Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou, 310027, China.
Abstract:
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.
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