Title: Vortices and vortex rings in quantum superfluids: a quasi-particle approach
Abstract: Motivated by recent experiments studying 2D vortex dynamics in Bose-Einstein condensates (BECs), we illustrate that, by considering these vortices as quasi-particles, such systems can be accurately described by reduced models of coupled ordinary differential equations. It is then possible to study in detail the dynamics, stability, and bifurcations of vortex configurations and match the ensuing results to experimental observations. We will also explore some extensions of the quasi-particle approach for 3D vortex rings which are formed when a vortex line (a "twister") is looped back onto itself creating a close ring that carries vorticity. We first showcase how vortex rings are commonplace in a wide range of fluids. We then focus on the occurrence of vortex rings in BECs and their mutual interactions, collisions, and scattering scenarios.
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