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.
- Publication:
-
Physical Review Letters
- Pub Date:
- April 2004
- DOI:
- 10.1103/PhysRevLett.92.153005
- arXiv:
- arXiv:cond-mat/0311356
- Bibcode:
- 2004PhRvL..92o3005D
- Keywords:
-
- 32.80.Qk;
- 03.75.Lm;
- 42.50.Vk;
- 71.70.Ej;
- Coherent control of atomic interactions with photons;
- Tunneling Josephson effect Bose-Einstein condensates in periodic potentials solitons vortices and topological excitations;
- Mechanical effects of light on atoms molecules electrons and ions;
- Spin-orbit coupling Zeeman and Stark splitting Jahn-Teller effect;
- Condensed Matter - Soft Condensed Matter
- E-Print:
- 3 figures