The dynamics of dark solitons in a trapped superfluid Fermi gas

Details The dynamics of dark solitons in a trapped superfluid Fermi gas The dynamics of dark solitons in a trapped superfluid Fermi gas

2010-11-19

arxiv.org/abs/1011.4450v2

Physics

Condensed Matter

Quantum Gases

5 pages, 4 figures

Scientific paper

We study soliton oscillations in a trapped superfluid Fermi gas across the Bose-Einstein condensate to Bardeen-Cooper-Schrieffer (BEC-BCS) crossover. We derive an exact equation relating the phase jump across the soliton to its energy, and hence obtain an expression for the soliton period. Our analytic approach is supported by simulations of the time-dependent Bogoliubov-de Gennes equations, which show that the period dramatically increases as the soliton becomes shallower on the BCS side of the resonance. Finally, we propose an experimental protocol to test our predictions.

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