Solitons in Nonlinear Schrödinger Model and the Collective Ground State of One-Dimensional Delta-Function Gas

Details Solitons in Nonlinear Schrödinger Model and the Collective Ground State of One-Dimensional Delta-Function Gas Solitons in Nonlinear Schrödinger Model and the Collective Ground State of One-Dimensional Delta-Function Gas

1994-05-10

arxiv.org/abs/hep-th/9405062v1

Physics

High Energy Physics

High Energy Physics - Theory

TMUP-HEL-9406(LaTeX 9pp)

Scientific paper

10.1016/0375-9601(94)90153-8

We examine one-dimensional Bose gas interacting with delta-function potential using the large-$N$ collective field theory. We show that in the case of attractive potential the uniform ground state is unstable to small perturbations and the instability is cured by formation of a collective ground state, \lq\lq bright soliton'' configuration in corresponding nonlinear Schr\"odinger field theory.

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