Vortex core deformation in weakly coupled superfluids

Quantum vortices in weakly coupled superfluids have a large healing length so that many particles reside within the vortex core They are characterized by topologically protected singular points which in principal should keep their core structure rigid I will describe how in practice the point singularity of a vortex deforms into a line singularity in proportion with the Magnus force experienced by the vortex The vortex structure is described by weak solutions of the Gross Pitaevskii equation similar to shock waves in hydrodynamics I will discuss how the core deformation significantly affects many aspects of vortex dynamics