Simulating infinite vortex lattices in superfluids: a novel scheme and its applications

Luca Mingarelli
This thesis is mostly based on the research presented in [1, 2, 3]. We introduce a novel efficient framework to treat infinite periodic vortex lattices in rotating superfluids under a mean-field Gross-Pitaevskii description. In doing so, we introduce a generalisation of the Fourier transform which correctly diagonalises the kinetic energy terms while respecting the required twisted boundary conditions. We call this integral transform a Magnetic Fourier transform. Testing the method, we re-obtain known results in...
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