title: Spin-orbit coupling and Berry phase with ultracold atoms in 2D optical lattices.
abstract: 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.
authors.affiliation: Department of Physics, The University of Texas, Austin, Texas 78712-1081, USA. dudarev@physics.utexas.edu
authors.forename: Artem M
authors.initials: AM
authors.lastname: Dudarev
authors.forename: Roberto B
authors.initials: RB
authors.lastname: Diener
authors.forename: Iacopo
authors.initials: I
authors.lastname: Carusotto
authors.forename: Qian
authors.initials: Q
authors.lastname: Niu