Type I/II Vortex Dynamics With Excited Normal Modes

Abstract

We investigate the effects of excited normal modes on vortex dynamics in the Abelian Higgs model in the type I (static attraction) and type II (static repulsion) regimes. We demonstrate that shape normal modes compete with the static inter-vortex forces. This can result in excited type I (II) vortices repelling (attracting). In addition we observe the existence of spectral walls that prevent the formation (break up) of bound states in type I (II) systems. We study the long lived quasi-bound states and orbits induced by their competing forces and the effective centrifugal forces. Finally, we observe that the effect is strong enough to induce vortex-antivortex pairs to follow long-lived orbits.