Influence of Dissipation on the Vortex Motion in Rotating Bose–Einstein Condensates

T. I. Zueva

Ian R. Coddington, P. C. Haljan, Peter Engels +1 more

T. I. Zueva

A dissipative model of vortex motion within a two-dimensional Gross-Pitaevskii equation is studied. With the asymptotic coordination method of solutions, a system of ordinary first-order differential equations describing vortex motion in rotating Bose-Einstein condensate was derived. The model takes into account the effect of various external factors: magnetic trap frequencies, number of particles in the condensate, angular rotational velocity of the condensate, dissipation parameter, etc. In special cases of dissipation-free motion, the results are coordinated with the known results of other authors. The addition of dissipation generalizes the known equations and makes it possible to see the vortex motion to the equilibrium points and to define the equilibrium configurations of any number of vortices. The model is illustrated by a large number of examples.

Sungjong Woo

Juan Ma, Zhi Li, Xue Ju-Kui

We consider rotational motion of an interacting atomic Bose–Einstein condensate (BEC) with both two- and three-body interactions in a quadratic-plus-quartic and harmonic-plus-Gaussian trap. By using the variational method, the influence of the three-body interaction and the anharmonicity of the trap on the lowest energy surface mode excitation and the spontaneous shape deformation (responsible for the vortex formation) in a rotating BEC is discussed in detail. It is found that the repulsive three-body interaction helps the formation of the vortex and reduces the lowest energy surface mode frequency and the critical rotational frequency of the system. Moreover, the critical rotational frequency for the vortex formation in the harmonic-plus-Gaussian potential is lower than that in the quadratic-plus-quartic potential.

Woo Jin Kwon, Geol Moon, Sang Won Seo +4 more