Symmetry-assisted vorticity control in Bose-Einstein condensates
  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. 
V\'ictor M. P\'erez-Garc\'ia, Miguel A. Garc\'ia-March, and Albert   Ferrando