Abstract
AbstractThis article presents an overview of recent theoretical progress made in Shanghai on collective excitations in superfluid Fermi gases in the BCS-BEC crossover. All linear eigenvalues and eigenfunctions for systems of three-dimensional (3D) trapping potentials with spherical and axial symmetries are provided analytically and compared with experiments. Corresponding results beyond mean-field and Thomas-Fermi approximations are also given explicitly. Furthermore, linear excitations and sound propagation in a cigar-shaped 3D superfluid Fermi gas is described and eigenvalue problems of linear collective excitations for quasi 1D and quasi 2D systems are solved exactly. In addition, nonlinear excitations, including the dark solitons in Q1D condensates and the bright solitons in a cigar-shaped 3D condensates are predicted.KeywordsCollective ExcitationDark SolitonFeshbach ResonanceBright SolitonUnitarity LimitThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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