Preparing topological states of a Bose-Einstein condensate

Observations of lose-Einstein condensates-macroscopic populations of ultracold atoms occupying a single quantum state-in dilute alkali-metal and hydrogen gases have stimulated a great deal of research into the statistical physics of weakly interacting quantum degenerate systems(1,2). Recent experiments offer a means of exploring fundamental low-temperature physics in a controllable manner. A current experimental goal in the study of trapped Bose gases is the observation of superfluid-like behaviour, analogous to the persistent currents seen in superfluid liquid helium which now without observable viscosity. The 'super' properties of Bose-condensed systems occur because the macroscopic occupation of a quantized mode provides a stabilizing mechanism that inhibits decay through thermal relaxation(3). Here we show how to selectively generate superfluid vortex modes with different angular momenta in a Bose-Einstein condensate. Our approach involves solving the time-dependent equation of notion of a two-component condensate with strongly coupled internal atomic states, as recently investigated experimentally(4,5). The generation of vortices relies on the coupling between the states (achieved by applying an electromagnetic field), combined with mechanical rotation of the trapping potentials which confine the condensate.