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arXiv · 1602.05624

Simulating Infinite Vortex Lattices in Superfluids

Luca Mingarelli·Eric E Keaveny·Ryan Barnett
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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.

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Luca Mingarelli, Eric E Keaveny, Ryan Barnett. 2016-02-17. Simulating Infinite Vortex Lattices in Superfluids. https://doi.org/10.1088/0953-8984%2F28%2F28%2F285201

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