Instabilities in binary mixtures of one-dimensional quantum degenerate gases
arXiv:cond-mat/0303550 · doi:10.1103/PhysRevLett.91.150403
Abstract
We show that one-dimensional binary mixtures of bosons or of a boson and a spin-polarized fermion are Luttinger liquids with the following instabilities: i) For different particle densities, strong attraction between the mixture components leads to collapse, while strong repulsion leads to demixing, ii) For a low-density mixture of two gases of impenetrable bosons (or a spin-polarized fermion and an impenetrable boson) of equal densities, the system develops a gap and exhibits enhanced pairing fluctuations when there is attraction between the components. In the boson-fermion mixture, the pairing fluctuations occur at finite momentum. Our conclusions apply to mixtures both on the continuum and on optical lattices away from integer or fractional commensurability.
arXiv comment4 pages and 1 EPS figure; final version as printed in Phys. Rev. Lett
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