Simulating Infinite Vortex Lattices in Superfluids
arXiv:1602.05624 · doi:10.1088/0953-8984/28/28/285201
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.
17 pages, 2 figures
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Cited by in corpus (5)
- Infinite Lattices of Vortex Molecules in Rabi-Coupled Condensates
- Vortex depinning in a two-dimensional superfluid
- Exotic Vortex Lattices in Binary Repulsive Superfluids
- Vortex Lattices in Binary Mixtures of Repulsive Superfluids
- Numerical method for the projected Gross--Pitaevskii equation in an infinite rotating 2D Bose gas