Splitting instability of a doubly quantized vortex in superfluid Fermi gases

Wout Van Alphen; Hiromitsu Takeuchi; Jacques Tempere

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arXiv · 2008.03104

Splitting instability of a doubly quantized vortex in superfluid Fermi gases

Wout Van Alphen·Hiromitsu Takeuchi·Jacques Tempere

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Abstract

The splitting instability of a doubly-quantized vortex in the BEC-BCS crossover of a superfluid Fermi gas is investigated by means of a low-energy effective field theory. Our linear stability analysis and non-equilibrium numerical simulations reveal that the character of the instability drastically changes across the crossover. In the BEC-limit, the splitting of the vortex into two singly-quantized vortices occurs through the emission of phonons, while such an emission is completely absent in the BCS-limit. In the crossover-regime, the instability and phonon emission are enhanced, and the lifetime of a doubly-quantized vortex becomes minimal. The emitted phonon can be observed as a spiraling pattern amplified due to the rotational superradiance, known as a mechanism to carry away energy and angular momentum from a spinning black hole. We also investigate the influence of temperature, population imbalance, and three-dimensional effects.

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Wout Van Alphen, Hiromitsu Takeuchi, Jacques Tempere. 2023-11-20. Splitting instability of a doubly quantized vortex in superfluid Fermi gases. https://arxiv.org/abs/2008.03104

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