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note
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In an ideal experiment, in which the splitting of the double-quantum vortex does not occur, the topological method produces a straight vortex line which is used to mimic the result of the experiments [5]. This is a justified approximation, since the experimental creation process was carried out in 11 ms, which is noticeably shorter time interval than the lifetime of the doubly quantized vortex [see Figs. 1(c) and 2(b)].
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The coupling of the Kelvin modes with dynamical instabilities may also play a role in the entanglement of vortices. The consequences of this phenomenon is left for future research.
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