Vortex Formation in Spin-Orbit Coupled Spin-1 Bose Condensates with Magnetic Field

Abstract

In this article, we study the vortex formation in spin-1 spin-orbit coupling rotating Bose-Einstein condensates. Numerical results are obtained by solving the spinor Gross-Pitaevskii equation. We mainly focus on the influences of external magnetic fields on vortex structures and dynamics properties. With the increase in magnetic field strength, the populations of magnetic components j = ±1 reach the identical value. For the density profile, the three components present identical density structures, and the size of condensates is nearly the same. In addition, some related physical quantities, such as the time taken for the arrival of a steady population and root-mean-square size, kinetic energy, and total angular momentum, are calculated. The results show that these quantities decrease as the magnetic field strength increases. Moreover, we also investigate the time evolution of angular momentum. It is seen that the dynamic behavior of the magnetic components j = ±1 is exactly consistent, and the total angular momentum reduces in the presence of the strong magnetic field. This reflects the fact that the introduction of the strong magnetic field makes it difficult to rotate the condensate, and thus, it is disadvantageous for generating more vortices. topics: vortex, spin-orbit coupled, magnetic field, spinor condensates