Quantum vorticity in a rotating magnetic field

Vortexes in superfluids are a critical part of quantum optics, quantum dynamics studies and quantum physics in general. The behavior of vortexes is modeled by models such as the Ginzburg-Landau formula, and other systems, where symmetry-breaking is an inevitable event upon vortex formation. In this paper, we present and study a supersymmetric Hamiltonian which allows formation of vortexes in a quantum hall system to occur from the boundaries, as in natural phenomena, without breaking the symmetry. We study the numerical solutions of the Hamiltonian under rotating magnetic field.All permissions to Uppsala University to post this report on DIVA is granted by the authors and Fjordforsk AS.Modeling of quantum vorticity and turbulence in two- and three-dimensional systems