Instabilities in Binary Mixtures of One-Dimensional Quantum Degenerate Gases

2003/03/31 by M. A. Cazalilla, Miguel A. Cazalilla, A. F. Ho · 22 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.mes-hall #cond-mat.soft

paper · pdf · doi:10.1103/physrevlett.91.150403

published as Phys. Rev. Lett. 91, 150403 (2003) · 4 pages and 1 EPS figure; final version as printed in Phys. Rev. Lett

openalex publication_date 2003/10/08 · arxiv created 2003/10/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Bosonization and Strongly Correlated Systems

Cited by

• Bosonizing one-dimensional cold atomic gases
• Localization of Bosonic Atoms by Fermionic Impurities in a Three-Dimensional Optical Lattice
• Mixture of bosonic and spin-polarized fermionic atoms in an optical lattice
• Self-Trapping of Bosons and Fermions in Optical Lattices
• Phase Diagram of Bose-Fermi Mixtures in One-Dimensional Optical Lattices
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Exact results for the one-dimensional mixed boson-fermion interacting gas
• Vector chiral order in frustrated spin chains
• Supersolid Bose-Fermi Mixtures in Optical Lattices
• Field-induced chiral phase in isotropic frustrated spin chains
• Composite fermionization of one-dimensional Bose-Bose mixtures
• Pairing of one-dimensional Bose-Fermi mixtures with unequal masses
• Spin-charge separation in two-component Bose gases
• Superfluid and Mott-insulator phases of one-dimensional Bose-Fermi mixtures
• Atomic Bose-Fermi Mixtures in an Optical Lattice
• Scissors modes of two-component degenerate gases: Bose-Bose and Bose-Fermi mixtures
• Interspecies tunneling in one-dimensional Bose mixtures
• Dynamic response of interacting one-dimensional fermions in the harmonic atom trap: Phase response and the inhomogeneous mobility
• Quantum Many Particle Systems in Ring-Shaped Optical Lattices
• Excitations in two-component Bose gases
• Low-temperature crossover in the momentum distribution of cold atomic gases in one dimension
• Mean-field theory of Bose–Fermi mixtures in optical lattices

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