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Unitarity Schrödinger Equation and Ground State Properties of the Finite Trapped Superfluid Fermi Gases in a BCS-BEC Crossover |
ZHANG Wen-Yuan, WANG Cheng-Tao, MA Yong-Li |
| Department of Physics, Fudan University, Shanghai 200433 |
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| Cite this article: |
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ZHANG Wen-Yuan, WANG Cheng-Tao, MA Yong-Li 2010 Chin. Phys. Lett. 27 040304 |
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Abstract On the basis of quantum hydrodynamical equations we derive a unitarity Schrödinger equation of a finite trapped superfluid Fermi gas valid in the whole interaction regime from BCS superfluid to BEC. This equation is just the Ginzburg-Laudau-type equation for the fermionic Cooper pairs in the BCS side, the Gross-Pitaevskii-type equation for the bosonic dimers in the BEC side, and a unitarity equation for a strongly interacting Fermi superfluid in the unitarity limit. By taking a modified Gauss-like trial wave function, we solve the unitarity Schrödinger equation, calculate the energy, chemical potential, sizes and profiles of the ground-state condensate, and discuss the properties of the ground state in the entire BCS-BEC crossover regimes.
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| Keywords:
03.75.Ss
67.85.Bc
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Received: 01 October 2009
Published: 27 March 2010
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| PACS: |
03.75.Ss
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(Degenerate Fermi gases)
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67.85.Bc
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(Static properties of condensates)
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