Symmetry-assisted vorticity control in Bose-Einstein condensates
arXiv:nlin/0611052 · doi:10.1103/PhysRevA.75.033618
Abstract
Using group-theoretical methods and numerical simulations we show how to act on the topological charge of individual vortices in Bose-Einstein condensates by using control potentials with appropriate discrete symmetries. As examples of our methodology we study charge inversion and vortex erasing by acting on a set of control laser gaussian beams generating optical dipole traps.
7 pages, 4 figures
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Cited by in corpus (11)
- Dynamics of vortices in weakly interacting Bose-Einstein condensates
- Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
- Phase Evolution in Spatial Dark States
- Analytical solution for multisingular vortex Gaussian beams: The mathematical theory of scattering modes
- Angular Pseudomomentum Theory for the Generalized Nonlinear Schrödinger Equation in Discrete Rotational Symmetry Media
- Winding number dependence of Bose-Einstein condensates in a ring-shaped lattice
- Topologically trapped vortex molecules in Bose-Einstein condensates
- Vortex Dynamics in Anisotropic Traps
- Bose-Einstein condensates in rotating ring-shaped lattices: a multimode model
- Symmetry breaking and singularity structure in Bose-Einstein condensates
- A method for the dynamics of vortices in a Bose-Einstein condensate: analytical equations of the trajectories of phase singularities