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Ground State Density Distribution of Bose-Fermi Mixture in a One-Dimensional Harmonic Trap |
| HAO Ya-Jiang
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Department of Physics, University of Science and Technology Beijing, Beijing 100083
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HAO Ya-Jiang 2011 Chin. Phys. Lett. 28 010302 |
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Abstract By the density-functional calculation we investigate the ground-state properties of Bose-Fermi mixture confined in one-dimensional harmonic traps. The homogeneous mixture of bosons and polarized fermions with contact interaction can be exactly solved by the Bethe-ansatz method. After giving the exact formula of ground state energy density, we employ the local-density approximation to determine the density distribution of each component. It is shown that with the increase in interaction, the total density distribution evolves to Fermi-like distribution and the system exhibits phase separation between two components when the interaction is strong enough but finite. While in the infinite interaction limit both bosons and fermions display the completely same Fermi-like distributions and phase separation disappears.
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| Keywords:
03.75.Mn
03.75.Hh
67.85.-d
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Received: 14 September 2010
Published: 23 December 2010
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| PACS: |
03.75.Mn
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(Multicomponent condensates; spinor condensates)
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03.75.Hh
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(Static properties of condensates; thermodynamical, statistical, and structural properties)
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67.85.-d
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(Ultracold gases, trapped gases)
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