Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases

Details Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases

2007-08-22

arxiv.org/abs/0708.3039v3

Phys. Rev. Lett. 100, 160405 (2008)

Physics

Condensed Matter

Other Condensed Matter

Revised to discuss large but finite interactions

Scientific paper

10.1103/PhysRevLett.100.160405

We present an exact analytical solution of the fundamental system of quasi-one-dimensional spin-1 bosons with infinite delta-repulsion. The eigenfunctions are constructed from the wave functions of non-interacting spinless fermions, based on Girardeau's Fermi-Bose mapping, and from the wave functions of distinguishable spins. We show that the spinor bosons behave like a compound of non-interacting spinless fermions and non-interacting distinguishable spins. This duality is especially reflected in the spin densities and the energy spectrum. We find that the momentum distribution of the eigenstates depends on the symmetry of the spin function. Furthermore, we discuss the splitting of the ground state multiplet in the regime of large but finite repulsion.

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