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Collective Dispersion Relations for the one-dimensional interacting two-component Bose and Fermi Gases

Batchelor, Murray; Bortz, Michael; Guan, Xi-Wen; Oelkers, Norman


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.

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
Source: Journal of Statistical Mechanics: Theory and Experiment
DOI: 10.1088/1742-5468/2006/03/P03016


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