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Phys. Rev. Lett. 92, 153005 (2004) [4 pages]

Spin-Orbit Coupling and Berry Phase with Ultracold Atoms in 2D Optical Lattices

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Artem M. Dudarev1,2,*, Roberto B. Diener3,1, Iacopo Carusotto4,5, and Qian Niu1
1Department of Physics, The University of Texas, Austin, Texas 78712-1081, USA
2Center for Nonlinear Dynamics, The University of Texas, Austin, Texas 78712-1081, USA
3Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
4Laboratoire Kastler Brossel, École Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France
5BEC-INFM Research and Development Center, I-38050 Povo, Trento, Italy

Received 14 November 2003; published 16 April 2004

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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.153005
DOI:
10.1103/PhysRevLett.92.153005
PACS:
32.80.Qk, 03.75.Lm, 42.50.Vk, 71.70.Ej

*Electronic address: dudarev@physics.utexas.edu