Traveling Dark Solitons in Superfluid Fermi Gases

Physics – Condensed Matter – Quantum Gases

Scientific paper

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Small changes in response to referee's comments; fig 1 revised and refs updated. Cross listed to nucl-th due to interest in th

Scientific paper

10.1103/PhysRevA.83.041604

Families of dark solitons exist in superfluid Fermi gases. The energy-velocity dispersion and number of depleted particles completely determines the dynamics of dark solitons on a slowly-varying background density. For the unitary Fermi gas we determine these relations from general scaling arguments and conservation of local particle number. We find solitons to oscillate sinusoidally at the trap frequency reduced by a factor of $1/\sqrt{3}$. Numerical integration of the time-dependent Bogoliubov-de Gennes equation determines spatial profiles and soliton dispersion relations across the BEC-BCS crossover and proves consistent with the scaling relations at unitarity.

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