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@article{Mingarelli:2016:28/285201,
author = {Mingarelli, L and Keaveny, EE and Barnett, R},
doi = {28/285201},
journal = {Journal of Physics: Condensed Matter},
title = {Simulating infinite vortex lattices in superfluids},
url = {http://dx.doi.org/10.1088/0953-8984/28/28/285201},
volume = {28},
year = {2016}
}

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TY  - JOUR
AB  - 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.
AU  - Mingarelli,L
AU  - Keaveny,EE
AU  - Barnett,R
DO  - 28/285201
PY  - 2016///
SN  - 0953-8984
TI  - Simulating infinite vortex lattices in superfluids
T2  - Journal of Physics: Condensed Matter
UR  - http://dx.doi.org/10.1088/0953-8984/28/28/285201
UR  - http://hdl.handle.net/10044/1/33305
VL  - 28
ER  -

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Dr Eric E Keaveny

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