Riccardo Ferrini
Vortex crystals with empty and filled cores.
Rel. Vittorio Penna, Andrea Richaud. Politecnico di Torino, Corso di laurea magistrale in Physics Of Complex Systems (Fisica Dei Sistemi Complessi), 2024
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Abstract
A generic quasi 2 dimensional superfluid confined in a rotating circular trap could present quantum vortices. According to the Point Vortex model, vortex is effectively described as a point-like particle around which the superfluid flows with quantized circulation. It has been proven that at equilibrium the vortex-array is a composition of concentric regular polygonal structures. Non-trivial excitations of these stable configurations are the so called Tkachenko modes, microscopically associated to elliptical precessions of each vortex around its equilibrium position, representing a macroscopic deformation of the vortex-crystal. Recently it has been also proposed a model for point-like vortices hosting in their cores massive particles.
The goal of this thesis is the characterization of the main effects ensuing from the “vortex mass” on the formation of the vortex-crystal depending on the rotation rate of the trap and on the creation of their non-trivial excitations
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