Abstract Using quantum hydrodynamic approaches, we study the quantum pressure correction to the collective excitation spectrum of the interacting trapped superfluid Fermi gases in the BEC-BCS crossover. Based on a phenomenological equation of state, we derive hydrodynamic equations of the system in the whole BEC-BCS crossover regime. Beyond the Thomas--Fermi approximation, expressions of the frequency corrections of collective modes for both spherical and axial symmetric traps excited in the BEC-BCS crossover are given explicitly. The corrections of the eigenfrequencies due to the quantum pressure and their dependence on the inverse interaction strength, anisotropic parameter and particle numbers of the condensate are discussed in detail.
Received: 06 August 2008
Revised: 05 September 2008
Accepted manuscript online:
PACS:
03.75.Kk
(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
Fund: Project
supported by the National Natural Science Foundation of
China (Grant Nos 10574028, 10775032 and J0730310).
Cite this article:
Dong Hang(董行) and Ma Yong-Li(马永利) The quantum pressure correction to the excitation spectrum of the trapped superfluid Fermi gases in a BEC-BCS crossover 2009 Chin. Phys. B 18 715
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