2004/11/30 by E. Nakano, Hiroyuki Yabu, H. Yabu
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.other
paper · pdf · doi:10.1103/physreva.72.043602
published as Phys. Rev. A 72, 043602 (2005) · 13 pages, 6 figures, revised
arxiv created 2005/02/01 · openalex publication_date 2005/10/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Density-wave structures are studied in a quasi-one-dimensional atomic gas mixture of one-component bosons and two-component fermions using the mean-field approximation at zero temperature. Owing to the Peierls instability in the fermion system, the ground state of the system shows a fermion density wave and periodic Bose-Einstein condensation induced by the boson-fermion interatomic interaction. For the two-component fermions, two density waves appear in each component, and their phase difference distinguishes two types of ground states, the in-phase and the out-phase density waves. In this paper, a self-consistent method is presented to treat the density-wave states in a boson-fermion mixture with two-component fermions. The analysis of the effective potential and the interaction energies shows that the density waves appearing in the ground state are in phase or out of phase depending on the strength of the interfermion 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 out of phase, only the uniform condensate appears. The phase diagram of the system is given for the effective coupling constants.