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We examine the dynamics associated with the creation of a vortex in aBose-Einstein condensate (BEC), from another nonrotating BEC using two-photonRaman transition with Gaussian (G) and Laguerre-Gaussian (LG) laser pulses. Inparticular, we consider BEC of Rb atoms at their hyperfine ground statesconfined in a quasi two dimensional harmonic trap. Optical dipole potentialscreated by G and LG laser pulses modify the harmonic trap in such a way thatdensity profiles of the condensates during the Raman transition process dependon the sign of the generated vortex. We investigate the role played by theRaman coupling parameter manifested through dimensionless peak Rabi frequencyand intercomponent interaction on the dynamics of the population transferprocess and on the final population of the rotating condensate. During theRaman transition process, the two BECs tend to have larger overlap with eachother for stronger intercomponent interaction strength.

Dynamics of the creation of a rotating Bose-Einstein condensate by two-photon Raman transition using Laguerre-Gaussian pulse