Rotational pendulum dynamics of a vortex molecule in a channel geometry
Abstract
A vortex molecule is a topological excitation in two coherently coupled superfluids consisting of a vortex in each superfluid connected by a domain wall of the relative phase, also known as a Josephson vortex. We investigate the dynamics of this excitation in a quasi-two-dimensional geometry with slab or channel boundary conditions using an extended point vortex framework complemented by Gross-Pitaevskii simulations. Apart from translational motion along the channel, the vortex molecule is found to exhibit intriguing internal dynamics including rotation and rotational-pendulum-like dynamics. Trajectories leading to a boundary-induced break-up of the vortex molecule are also described qualitatively by the simplified model. We classify the stable and unstable fixed points as well as separatrices that characterize the vortex molecule dynamics.
Cite
@article{arxiv.2207.05893,
title = {Rotational pendulum dynamics of a vortex molecule in a channel geometry},
author = {Sarthak Choudhury and Joachim Brand},
journal= {arXiv preprint arXiv:2207.05893},
year = {2022}
}
Comments
11 pages, 9 figures