Solitons in Nonlinear Schrödinger Model and the Collective Ground State of One-Dimensional Delta-Function Gas
arXiv:hep-th/9405062 · doi:10.1016/0375-9601(94)90153-8
Abstract
We examine one-dimensional Bose gas interacting with delta-function potential using the large- 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.
arXiv commentTMUP-HEL-9406(LaTeX 9pp)