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Scanning SQUID Study of Vortex Manipulation by Local Contact
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Simulating infinite vortex lattices in superfluids.

Luca Mingarelli1, Eric E Keaveny, Ryan Barnett

  • 1Department of Mathematics, Imperial College London, London SW7 2AZ, UK.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|May 25, 2016
PubMed
Summary
This summary is machine-generated.

We developed a new numerical method for simulating rotating superfluids. This magnetic Fourier transform approach correctly handles vortex lattices, overcoming limitations of standard spectral methods.

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Area of Science:

  • Quantum fluid dynamics
  • Condensed matter physics

Background:

  • Rotating superfluids exhibit complex vortex lattice structures.
  • Standard numerical methods like split-step Fourier struggle with boundary conditions in these systems.

Purpose of the Study:

  • To develop an efficient numerical framework for treating infinite periodic vortex lattices in rotating superfluids.
  • To address the limitations of existing spectral methods for Gross-Pitaevskii equation simulations.

Main Methods:

  • Generalization of the split-step Fourier method using the magnetic Fourier transform.
  • Incorporation of boundary conditions dictated by the magnetic translation group.
  • Testing the method against known results in the lowest-Landau-level regime.

Main Results:

  • The proposed magnetic Fourier transform method accurately treats vortex lattices in rotating superfluids.
  • The method reduces to established results in the lowest-Landau-level limit.
  • Demonstrated the framework's applicability to scalar superfluids.

Conclusions:

  • The generalized split-step Fourier method provides an efficient and accurate approach for simulating rotating superfluids.
  • The framework is extendable to more complex systems, including multicomponent superfluids and synthetic gauge fields.