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Simulating infinite vortex lattices in superfluids

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Title: Simulating infinite vortex lattices in superfluids
Authors: Mingarelli, L
Keaveny, EE
Barnett, R
Item Type: Journal Article
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.
Issue Date: 24-May-2016
Date of Acceptance: 25-Apr-2016
URI: http://hdl.handle.net/10044/1/33305
DOI: http://dx.doi.org/10.1088/0953-8984/28/28/285201
ISSN: 0953-8984
Publisher: IOP Publishing Ltd
Journal / Book Title: Journal of Physics: Condensed Matter
Volume: 28
Issue: 28
Copyright Statement: © 2016 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication in Journal of Physics: Condensed Matter. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at http://dx.doi.org/10.1088/0953-8984/28/28/285201
Sponsor/Funder: Commission of the European Communities
Funder's Grant Number: PCIG14-GA-2013-631002
Keywords: cond-mat.quant-gas
Fluids & Plasmas
0204 Condensed Matter Physics
0912 Materials Engineering
1007 Nanotechnology
Publication Status: Published
Article Number: 285201
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences