Two component interacting bosons: 1-d exact results

Details Two component interacting bosons: 1-d exact results Two component interacting bosons: 1-d exact results

2001-07-27

arxiv.org/abs/cond-mat/0107578v1

Europhys. Lett. 61, 368-374 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

Revtex 4 pages, 3 figures

Scientific paper

Motivated by the experiment of two-component Bose-Einstein condensates produced in magnetically trapped $^{87}Rb$, we study one dimensional Boson systems with repulsive $\delta$-function interaction in the presence of SU(2) intrinsic degree of freedom by means of coordinate Bethe ansatz. The ground state and low-lying excitations are solved by both numerical and analytical methods. It is shown that the ground state is an isospin-ferromagnetic state and the excitations are composed of three elementary particles: holons, antiholons and isospinons. The isospinon is a triplet coupled to the ``ferromagnetic'' background antiparallelly.

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