Generation of Quantized Vortices in Multilayered Bose-Einstein Condensates

In this paper, we study the generation of quantized vortices in multilayered Bose-Einstein condensates confined in a harmonic potential combined with a longitudinal optical lattice. Numerical results are obtained by solving the imaginary time Gross-Pitaevskii equation. We explore the effects of lattice distance and lattice height on vortex formation process. It is demonstrated that the creation of vortex is stratified. The critical rotational frequency has different values in diverse layers. When the rotational frequency is gradually increased, distinct number of vortices are created in these layers. We reveal the reason for this is that the confinement of the trap potential. In addition, we find that the increase of the contact interaction gives rise to the increase in the vortex number and the size of the condensates.