The lowest scattering state of one-dimensional Bose gas with attractive interactions

Details The lowest scattering state of one-dimensional Bose gas with attractive interactions The lowest scattering state of one-dimensional Bose gas with attractive interactions

2011-03-30

arxiv.org/abs/1103.5804v1

Physics

Condensed Matter

Quantum Gases

6 pages, 6figures

Scientific paper

We investigate the lowest scattering state of one-dimensional Bose gas with attractive interactions trapped in a hard wall trap. By solving the Bethe ansatz equation numerically we determine the full energy spectrum and the exact wave function for different attractive interaction parameters. The resultant density distribution, momentum distribution, reduced one body density matrix and two body correlation show that the decreased attractive interaction induces rich density profiles and specific correlation properties in the weakly attractive Bose gas.

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