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On the zero helicity condition for quantum vortex defects
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DOI：10.1017/jfm.2023.304.png)
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In this note we provide an analytical proof of the zero helicity condition for systems governed by the Gross-Pitaevskii equation (GPE). The proof is based on the hydrodynamic interpretation of the GPE, and the direct use of Noether's theorem by applying Kleinert's multi-valued gauge theory. As a by-product we also demonstrate the conservation and quantization of the circulation for the GPE.
Keyword:
topological fluid dynamics
variational methods
quantum fluids
期刊
IF:
3.9
论文数:
2.0W
被引数:
9.4W
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