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

Hideaki Hiro-Oka·Hisakazu Minakata
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Abstract

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 Schrödinger field theory.

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Hideaki Hiro-Oka, Hisakazu Minakata. 1994-05-10. Solitons in Nonlinear Schrödinger Model and the Collective Ground State of One-Dimensional Delta-Function Gas. https://doi.org/10.1016/0375-9601(94)90153-8

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