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Thermally induced instability of a doubly quantized vortex in a Bose-Einstein condensate

Krzysztof Gawryluk·Mirosław Brewczyk·Kazimierz Rzcażewski
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Abstract

We study the instability of a doubly quantized vortex topologically imprinted on $^{23}$Na condensate, as reported in recent experiment [Phys. Rev. Lett. \textbf{93}, 160406 (2004)]. We have performed numerical simulations using three-dimensional Gross-Pitaevskii equation with classical thermal noise. Splitting of a doubly quantized vortex turns out to be a process that is very sensitive to the presence of thermal atoms. We observe that even ve ry small thermal fluctuations, corresponding to 10 to 15% of thermal atoms, ca use the decay of doubly quantized vortex into two singly quantized vortices in tens of milliseconds. As in the experiment, the lifetime of doubly quantized vortex i s a monotonic function of the interaction strength.

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Krzysztof Gawryluk, Mirosław Brewczyk, Kazimierz Rzcażewski. 2005-11-05. Thermally induced instability of a doubly quantized vortex in a Bose-Einstein condensate. https://doi.org/10.1088/0953-4075%2F39%2F11%2Fl01

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