Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 28, Issue 28, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0953-8984/28/28/285201
Keywords
BEC; cold atoms; synthetic gauge field; vortex lattice; GPE
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Funding
- European Union [PCIG-GA-2013-631002]
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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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