Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases

Details Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases

2005-12-20

arxiv.org/abs/cond-mat/0512486v1

J. Stat. Mech. (2006) P03016

Physics

Condensed Matter

Statistical Mechanics

12 pages, 1 figure

Scientific paper

10.1088/1742-5468/2006/03/P03016

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.

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