Vortex lattice solutions to the Gross-Pitaevskii equation with spin-orbit coupling in optical lattices
Abstract
Effective spin-orbit coupling can be created in cold atom systems using atom-light interaction. We study Bose-Einstein condensates in an optical lattice using the Gross-Pitaevskii equation with spin-orbit coupling. Bloch states for the linear equation are numerically obtained, and compared with stationary solutions to the Gross-Pitaevskii equation with nonlinear terms. Various vortex lattice states are found when the spin-orbit coupling is strong.
- Publication:
-
Physical Review A
- Pub Date:
- January 2013
- DOI:
- 10.1103/PhysRevA.87.015602
- arXiv:
- arXiv:1301.3565
- Bibcode:
- 2013PhRvA..87a5602S
- Keywords:
-
- 03.75.Mn;
- 05.30.Jp;
- 67.85.Hj;
- Multicomponent condensates;
- spinor condensates;
- Boson systems;
- Bose-Einstein condensates in optical potentials;
- Condensed Matter - Quantum Gases;
- Nonlinear Sciences - Pattern Formation and Solitons;
- Quantum Physics
- E-Print:
- 6 pages, 5 figures