Collective dispersion relations for the one-dimensional interacting two-component Bose and Fermi gases

2005/12/20 by M. T. Batchelor, Murray T. Batchelor, Michael Bortz +4 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Strong Light-Matter Interactions #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1088/1742-5468/2006/03/p03016

published as J. Stat. Mech. (2006) P03016 · 12 pages, 1 figure

arxiv created 2005/12/20 · openalex publication_date 2006/03/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We investigate the elementary excitations of charge and spin degrees for the 1D interacting two-component Bose and Fermi gases by means of the discrete Bethe ansatz equations. Analytic results in the limiting cases of strong and weak interactions are derived, where the bosons are treated in the repulsive and the fermions in the strongly attractive regime. We confirm and complement results obtained previously from the Bethe ansatz equations in the thermodynamic limit.

Citations

• Exactly Solvable Model of the BCS-BEC Crossover
• Signature of Mott-Insulator Transition with Ultracold Fermions in a One-Dimensional Optical Lattice

Cited by

• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Excitations in two-component Bose gases