大自旋系统是量子物理中一个重要系统，联系着量子信息、量子计算以及冷原子物理等领域的发展，具有很高的理论意义和应用价值。大自旋系统在结构上等价于由多个自旋1/2粒子组成的复合系统，这为人们研究这些新领域中的量子多体效应提供了一个重要平台。近年来，大自旋系统的马约拉纳星体表象引起了人们的广泛关注。在马约拉纳星体表象中，大自旋系统中量子态的演化可由多个马约拉纳星在布洛赫球面上的运动直观地展现出来，这为人们研究大自旋系统提供了一个新的思路。本项目将以马约拉纳星体表象为工具，对大自旋系统的几何相位、纠缠以及其他动力学性质进行研究。通过利用马约拉纳星体表象表示大自旋系统的物理特性和物理现象，展示其中马约拉纳星在量子多体效应中发挥的作用。以此对现有理论进行补充、发展并且发掘其中的新方法和新效应。在此基础上，进一步对马约拉纳星体表象进行推广，使其能在更广泛的领域发挥作用。

Large spin is an important system of quantum physics, and connects with the development in the fields of quantum information, quantum computation and cold atom physics. It is an active research topic with higher academic and practical values. Large spin system possesses the same structure of a composite system composed of many spin-1/2 particles, providing an important way of studying quantum many body effect in these new fields. In recent years, the Majorana’s stellar representation of large spin system has attracted much attention. In Majorana’s stellar representation, the evolution of quantum state in large spin system can be intuitively represented by the Majorana stars on the Bloch sphere. This supplies a new method for studying large spin system. By taking the Marjorana’ s stellar representation as principle instrumentality, the project will study the features of large spin system, such as geometric phase, quantum entanglement and other dynamic properties. By representing the physical properties and phenomena in Majorana's stellar representation, we will explore the role played by the Majorana stars in many body effects. On this account, we will improve the exist theory as well as exploring new methods and effects. Based on these, we will also extend the Majorana’s stellar representation and make it work in a wider range.