Exact Dynamics of Multicomponent Bose-Einstein Condensates in Optical Lattices in One, Two and Three Dimensions
arXiv:0711.1896 · doi:10.1103/PhysRevA.77.033622
Abstract
Numerous exact solutions to the nonlinear mean-field equations of motion are constructed for multicomponent Bose-Einstein condensates on one, two, and three dimensional optical lattices. We find both stationary and nonstationary solutions, which are given in closed form. Among these solutions are a vortex-anti-vortex array on the square optical lattice and modes in which two or more components slosh back and forth between neighboring potential wells. We obtain a variety of solutions for multicomponent condensates on the simple cubic lattice, including a solution in which one condensate is at rest and the other flows in a complex three-dimensional array of intersecting vortex lines. A number of physically important solutions are stable for a range of parameter values, as we show by direct numerical integration of the equations of motion.
22 pages, 9 figures
References in corpus (5)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- A lattice of double wells for manipulating pairs of cold atoms
- Coherent collisional spin dynamics in optical lattices
- Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
- Dynamics of F=1 87Rb condensates at finite temperatures