Berry phase from atomic orbital

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Artem M. Dudarev, Roberto B. Diener, Iacopo Carusotto +1 more

We show how spin-orbit coupling and Berry phase can appear in two-dimensional optical lattices by coupling atoms' internal degrees of freedom to radiation. The Rashba Hamiltonian, a standard description of spin-orbit coupling for two-dimensional electrons, is obtained for the atoms under certain circumstances. We discuss the possibility of observing associated phenomena, such as the anomalous Hall and spin Hall effects, with cold atoms in optical lattices.

Robert Olkiewicz

Yuan Xu, Yuan-Yuan Huang, Ling Hu +5 more

Berry phase of higher-dimensional orbital angular momentum of light is studied. When an N th order orbital state, described by a vector in (N + 1)-dimensional space, evolves through a closed path in space of orbital states, there will exist a higher order orbital Berry phase. We calculate this phase by using the matrix transformation theory. A direct measurement of the higher-order orbital Berry phase is also carried out by the interference method. The experimental results are in good agreement with the theoretical description, which shows that the Berry phase is proportional to the orbital angular momentum of light.

J. Y. Zeng, Yian Lei

V. K. Ignatovich