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Composite-fermionization of the mixture composed of Tonks gas and Fermi gas |
| Hao Ya-Jiang(郝亚江)† |
| Department of Physics, University of Science and Technology Beijing, Beijing 100083, China |
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Abstract This paper investigates the ground-state properties of the mixture composed of the strongly interacting Tonks-Girardeau gas and spin polarized Fermi gas confined in one-dimensional harmonic traps, where the interaction between the Bose atoms and Fermi atoms is tunable. With a generalized Bose-Fermi transformation the mixture is mapped into a two-component Fermi gas. The homogeneous Fermi gas is exactly solvable by the Bethe-ansatz method and the ground state energy density can be obtained. Combining the ground-state energy function of the homogeneous system with local density approximation it obtains the ground-state density distributions of inhomogeneous mixture. It is shown that with the increase in boson-fermion interaction, the system exhibits composite-fermionization crossover.
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Received: 20 September 2010
Revised: 21 January 2011
Accepted manuscript online:
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PACS:
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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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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11004007) and the Fundamental Research
Funds for the Central Universities. |
Cite this article:
Hao Ya-Jiang(郝亚江) Composite-fermionization of the mixture composed of Tonks gas and Fermi gas 2011 Chin. Phys. B 20 060307
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