A modified point-vortex model for the vortex dynamics in a two-dimensional superfluid Bose gas

In this paper, we investigate the dynamics of the vortices in the homogeneous two-dimensional Bose-Einstein condensate by considering the condensate density variation. It is shown that the condensate density variation plays an important role when two vortices are close together. By the time-dependent Lagrangian functional method and the numerical simulation, we study how the interaction strength of the vortices varies with the distance between two vortices with the same or different topological charges, and generalize the results for the vortex pairs to the multi-vortex case. The numerical simulations demonstrate the validity of our theory.

Automated summary

We investigated the dynamics of vortices in a homogeneous two-dimensional Bose-Einstein condensate by considering the variation in condensate density. Our results demonstrate that the condensate density variation plays a crucial role when two vortices are in close proximity. Through the use of the time-dependent Lagrangian functional method and numerical simulations, we explored the variation of interaction strength between vortices with the same or different topological charges as a function of distance, and extended these findings to the case of multiple vortices. The numerical simulations confirmed the validity of our theoretical approach.