title: Simulating infinite vortex lattices in superfluids.
abstract: We present an efficient framework to numerically treat infinite periodic vortex lattices in rotating superfluids described by the Gross-Pitaevskii theory. The commonly used split-step Fourier (SSF) spectral methods are inapplicable to such systems as the standard Fourier transform does not respect the boundary conditions mandated by the magnetic translation group. We present a generalisation of the SSF method which incorporates the correct boundary conditions by employing the so-called magnetic Fourier transform. We test the method and show that it reduces to known results in the lowest-Landau-level regime. While we focus on rotating scalar superfluids for simplicity, the framework can be naturally extended to treat multicomponent systems and systems under more general 'synthetic' gauge fields.
authors.affiliation: Department of Mathematics, Imperial College London, London SW7 2AZ, UK.
authors.forename: Luca
authors.initials: L
authors.lastname: Mingarelli
authors.forename: Eric E
authors.initials: EE
authors.lastname: Keaveny
authors.forename: Ryan
authors.initials: R
authors.lastname: Barnett