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  • Exploring Non-Abelian Geome...
    H. M., Bharath; Boguslawski, Matthew; Barrios, Maryrose; Xin, Lin; Chapman, Michael S.

    Physical review letters, 10/2019, Letnik: 123, Številka: 17
    Journal Article

    The spin vector of a spin-1 system, unlike that of a spin−1/2 system, can lie anywhere on or inside the Bloch sphere representing the phase space. As a consequence, the geometrical and topological properties of the spin-1 phase space of quantum states are richer and require a generalization of Berry's phase. For special trajectories passing through the center of the Bloch sphere (singular loops), the geometric phase has a non-Abelian nature. Here, we experimentally explore this geometric phase for singular loops in a spin-1 quantum system using ultracold Rb87 atoms confined in an optical trap using microwave and rf control fields.