Hyperbolic Bending of Vortex Lines with Finite Number and Length in Rotating Trapped Bose-Einstein Condensates

Zhongzhou Chen, Y. L.

Du Guodong, Ma Yong-Li

The minimal energy configurations of hyperbolic bending vortex lines in the rotating trapped Bose–Einstein condensates are investigated by using a variational ansatz and numerical simulation. The theoretical calculation of the energy of the vortex lines as a function of the rotation frequency gives self-consistently vortex number, curvature and configuration. The numerical results show that bending is more stable than straight vortex line along the z -axis, and the vortex configuration in the xy -plane has a little expansion by increasing z .

Michele Modugno, Ludovic Pricoupenko, Yvan Castin

Amandine Aftalion, Tristan Rivière

For a Bose-Einstein condensate placed in a rotating trap, we give a simplified expression of the Gross-Pitaevskii energy in the Thomas Fermi regime, which only depends on the number and shape of the vortex lines. Then we check numerically, that when there is one vortex line, our simplified expression leads to solutions with a bent vortex for a range of rotational velocities and trap parameters that are consistent with the experiments.

Alexander L. Fetter, Anatoly A. Svidzinsky

Juan José García‐Ripoll, Víctor M. Pérez‐García

We study in detail the structure of the ground state of elongated rotating Bose-Einstein condensates. This ground state is composed of one or more vortex lines which bend even in completely symmetric setups. This symmetry breaking allows the condensate to smoothly adapt to rotation and to produce tightly packed arrays of vortex lines. The dependence of vortex bending on the relevant parameters is studied.