The dynamics of dark solitons in a trapped superfluid Fermi gas

Abstract

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.

5 pages, 4 figures

References in corpus (5)

• Theory of ultracold Fermi gases
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Grey solitons in a strongly interacting superfluid Fermi Gas
• Bragg scattering of Cooper pairs in an ultra-cold Fermi gas

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