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Title: Simulating infinite vortex lattices in superfluids
Keywords: cond-mat.quant-gas;cond-mat.quant-gas;cond-mat.supr-con;quant-ph;Fluids & Plasmas;0204 Condensed Matter Physics;0912 Materials Engineering;1007 Nanotechnology
Issue Date: 24-May-2016
Publisher: IOP Publishing Ltd
Description: 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.
Other Identifiers: 0953-8984
Type Of Material: OTHER
Appears in Collections:Mathematics

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