Instabilities in Binary Mixtures of One-Dimensional Quantum Degenerate Gases

M. A. Cazalilla and A. F. Ho
Phys. Rev. Lett. 91, 150403 – Published 8 October 2003

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, and (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.

  • Figure
  • Received 21 April 2003

DOI:https://doi.org/10.1103/PhysRevLett.91.150403

©2003 American Physical Society

Authors & Affiliations

M. A. Cazalilla1 and A. F. Ho2,1

  • 1Donostia International Physics Center (DIPC), Manuel de Lardizabal 4, 20018-Donostia, Spain
  • 2School of Physics and Astronomy, The University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom

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Issue

Vol. 91, Iss. 15 — 10 October 2003

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