title: Representation of Berry phase by the trajectories of Majorana stars.
abstract: The Majorana's stellar representation, which represents the evolution of a quantum state with the trajectories of the Majorana stars on a Bloch sphere, provides an intuitive way to study a physical system with a high dimensional projective Hilbert space. In this Letter, we study the Berry phase by these stars and their loops on the Bloch sphere. It is shown that the Berry phase of a general spin state can be expressed by an elegant formula with the solid angles of Majorana star loops. Furthermore, these results can be used to a general state with arbitrary dimensions. To demonstrate our theory, we study a two mode interacting boson system. Finally, the relation between stars' correlations and quantum entanglement is discussed.
authors.affiliation: National Laboratory of Science and Technology on Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China and School of Physics, Northeast Normal University, Changchun 130024, China.
authors.forename: H D
authors.initials: HD
authors.lastname: Liu
authors.affiliation: National Laboratory of Science and Technology on Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China and HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100084, China.
authors.forename: L B
authors.initials: LB
authors.lastname: Fu