Density waves in quasi-one-dimensional atomic gas mixture of boson and two-component fermion

Details Density waves in quasi-one-dimensional atomic gas mixture of boson and two-component fermion Density waves in quasi-one-dimensional atomic gas mixture of boson and two-component fermion

2004-11-27

arxiv.org/abs/cond-mat/0411686v3

Phys. Rev. A 72, 043602 (2005)

Physics

Condensed Matter

Other Condensed Matter

13 pages, 6 figures, revised

Scientific paper

10.1103/PhysRevA.72.043602

We study the density-wave states of quasi-one-dimensional atomic gas mixture of one- and two-component boson and fermion using the mean-field approximation. Owing to the Peierls instability in the quasi-one-dimensional fermion system, the ground state of the system shows the fermion density wave and the periodic Bose-Einstein condensation induced by the boson-fermion interatomic interaction. For the two-component fermions, two density waves appear in these components, and the phase difference between them distinguishes two types of ground states, the in-phase and the out-phase density-waves. In this paper, a self-consistent method in the mean-field approximation is presented to treat the density-wave states in boson-fermion mixture with two-component fermions. From the analysis of the effective potential and the interaction energies calculated by this method, the density-waves are shown to appear in the ground state, which are in-phase or out-phase depending on the strength of the inter-fermion interaction. It is also shown that the periodic Bose-Einstein condensate coexists with the in-phase density-wave of fermions, but, in the case of the out-phase one, only the uniform condensate appears. The phase diagram of the system is given for the effective coupling constants.

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