Instabilities in binary mixtures of one-dimensional quantum degenerate gases

Details Instabilities in binary mixtures of one-dimensional quantum degenerate gases Instabilities in binary mixtures of one-dimensional quantum degenerate gases

2003-03-26

arxiv.org/abs/cond-mat/0303550v3

Phys. Rev. Lett. 91, 150403 (2003)

Physics

Condensed Matter

Soft Condensed Matter

4 pages and 1 EPS figure; final version as printed in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.91.150403

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.

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